a) 3 1/2 x 3 =

9/2 x 3/1 = 21/2 = 10 1/2

Kristi worked 10 1/2 houres.

b) 9/1 x 21/2 = 189/2 = 94 1/2

in one week Kristi earnd $94.50 dollors.

Question 7

7 x 2 2/5 =

7/1 x 12/5 = 84/5 = 16 4/5

In one week jupitor completes 16 4/5 rotations of Earth.

Question 8

8 1/2 x 1 1/3 =

17/2 x 1 1/3 =

4/1 x 17/3 =

2/1 x 17/3 = 34/3 = 11 1/5

The Boat will ravel 11 1/2 km in 1 1/2 houers.

Question 9

4/5 x 3 1/2 =

4/5 x 7/2 =

4/2 x 7/5 =

2/1 x 7/5 = 14/5 = 2 4/5

It will take you 2 4/5 houres to get to grandmas house at the same speed.

Question 10

3/5 x 5/1 =

3/1 x 5/5 = 15/5 = 3/1 = 3

It will take 3 Tanks of gas it get to work and back for 5 working days.

Question 11

2 1/4 x 8 =

9/4 x 32/4 =

9/4 x 8/1 = 72/4 = 18/1 = 18

Owen will be 18 when Robin celebrates her 8th birthday.

Question 12

3 1/4 x 3/4

13/4 3/4 = 39/16

It will take 39 houres.

P.S Charissa and i did our questions together but......CHARISSA HASNT POSTED HERS YET!

sorry .

### Math Work - April 28, 2009

It takes 13 hours to get to Grandma's house.

10. It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking.

It takes 3 litres of gas thats used in 5 days.

11. Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th brithday, how old will Owen be?

Owen would be 18 years old when Robin turn 8.

12. The karate club is arranging a grading for its member. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?

The club will need 2 4/5 of the gym in order to process 3 groups of 4 candidates.

### Multiplying integers (skills post)

This is one way of doing it

(denominator x whole number + numerator)

for ex. 2 2/4 below is how you multiply it

(2 x 4) then add the numerator

(2 x 4 + 2)= 10

Here's another example

1 1/2

(1 x 2) then add the numerator

(1 x 2 + 1)= 3

### April 29, 2009 Skills Post

One way is

(denominator x whole number + numerator)

for ex. 1 1/2 below is how you multiply it

(1 x 2) then add the numerator

(1 x 2 + 1)= 3

Now lets try another set of fractions

2 2/4

(2 x 4) then add the numerator

(2 x 4 + 2)= 10

### Skills Post: Converting

### Math Work- April 28

Sorry its late

#9

The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how log will it take to get to grandma's house if you travel at the same speed?

This question is saying 4/5 x 3 1/2.

make the mixed number into a improper fraction.

3x2+1= 7

Denominator stays the same, the new fraction is 7/2 now you multiply.

7x4 and 5x2

the fraction should be 28/10

change it back to the mixed number which is now 2 8/10. Simplify into 2 4/5.

It takes 2 4/5 hours to get to grandma's house.

#10

It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking

3/5 x 5

3 x 5 is 15

denominator stays the same

15/5 simplify into 3

It takes 3L of gas to go to work for 5 days.

#11

Owen is 2 1/4 time as old as Robin. When Robin celebrates his 8th birthday, How old will Owen be?

change the mixed into the improper= 9/4

Multiply by 8... 9/4 x 8

9x8= 72 and the denominator stays the same

equals 72/4 simplify into 18

Owen will be 18 years old.

#12

The Karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates.

3 1/4 x 3

change into a improper = 13/4

multiply by 3.... 13/4 x 3

13 x 3 is 39

denominator stays the same

the fraction is now 39/4 simplify

the answer is 9 3/4

The Club will need 9 3/4 hours in the gym.

### Multiplying fractions Homework

A) How many hours did Kristi work in 1 week?

Hours in week = Days x Hours per day

HW = 3 x 3 1/2

3 x 3 1/2 =

3 x 3 = 9

3 x 1/2 = 1 1/2

Kristi worked 10 1/2 hours.

B) How much did she earn in one week?

Weekly$ = (wage x H) x 3

9 x 3 1/2

9 x 3 = 27

9 x 1/2 = 4 1/2

$31.50 x 3 = $92.50

In 1 week Kristi earned $92.50.

In one Earth day Jupiter completes 2 2/5 rotations. How many does it complete in one week?

1 day = 2 2/5 rotations

1 week = 1 day x 7

7 x 2 2/5 =

7 x 2 = 14

7 x 2/5 = 14/5

14/5 = 2 4/5

Answer 16 4/5.

In one week, Jupiter completes 16 4/5 rotations.

A boat is sailing 8 1/2 km/h. If no conditions change, how far will it sail in 1 1/3h?

8 1/2 x 1 1/3=

17/2 x 4/3 = 68/6

= 11 2/6

It will sail 11 2/6 km.

The distance to Grandma's house is 4/5 the distance to Uncle Glen's house. If Uncle Glen is 3 1/2 hours away, how long will it take to get to Grandma's house?

3 1/2 x 4/5 =

7/2 x 4/5 = 28/10

= 14/5

= 2 4/5

It would take 2 and 4/5 or 2 hours and 45 minutes.

It takes 3/5 of a tank of gas to get to work and back each day. How many tanks would it take

to go to work and back for 5 days?

3/5 x 5 =

3/5 x 5/1 = 15/5

= 3

It would take 3 full tanks of gas.

Owen is 2 1/4 times older than Robin. When Robin turns 8, how old will Owen be?

2 1/4 x 8 =

9/4 x 8 = 72/4

= 18

Owen will be 18.

A karate club is testing candidates. If it takes 3 1/4 hours to test 4 candidates, how long will it take to test 3 groups of 4 candidates each?

3 1/4 x 3 =

13/4 x 3/1 = 39/4

= 9 3/4

It will take 9 3/4 hors or 9 hours and 45 minutes to test 12 candidates.

### Math Work April 28, 2009

I'm really sorry if you can't read it because of my messy writing...try and manage people!

Oh and if you can't see it because I screwed up somewhere, here's a link to it:http://docs.google.com/Presentation?id=dgxkm5mt_32cj374hgp or just click the square on the right, beside "Slide 01/03"

### Math work--April.28, 2009

6.

a)

3 x 3 1/2 =

3 x 3 = 9

3 x 1/2 = 3/2

= 1 1/2

1 1/2 + 9 = 10 1/2

She worked 10 1/2 hours.

b)

9 (dollars per hour)

10 (hours) 10 x 9 = $90.00

9.00 divided by 2 (half an hour) = 4.50

$90.00 + $4.50 = $94.50

Kristi earned $94.50 that week.

7.

2 2/5 (a day)

2 2/5 x 7 =

2 x 7 = 14

= 14/5

14/5 = 2 4/5

2 x 7 = 14

14 + 2 4/5 = 16 4/5

Jupiter completes 16 4/5 rotations in a week.

8.

8 1/2 x 1 1/3

8 x 2 + 1 = 17/2 1 x 3 + 1 = 4/3

17/2 x 4/3 = 68/6

= 11 2/6

= 11 1/3

In 1 and 1/3 hours the sail boat would've traveled 11 1/3 km/h.

9.

4/5 x 3 1/2 = 8/10 x 6/10

= 3 128/10

= 15 8/10

= 15 4/5

It will take 15 4/5 hours to get to grandpa's.

10.

3/5 x 5 = 15/5

= 3

He used 3L of gas to go to work every 5 days.

11.

2 1/4 x 8 = 9/4 x 8

= 72/4

= 18

Owen will be 18 years old.

12.

3 1/4 x 13/4 x 4 x 3 = 156/4

= 39

The club will need 39 hours of the gym in order to process the 3 groups of 4 candidates.

### Math Work April 28, 2009

Labels: fractions, improper fractions, Jay8-16, JP8-16, multiplying fractions

### April 27, 2009 Math Homework

Questions 9 to 12

#9

The distance to Grandma's house is 4/5 of the distance to Uncle Glen's. If Uncle Glen's house is

3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?

To multiply fractions, it would be way easier if there was no whole number. Let's turn 3 1/2 in to an improper fraction. To do this, you multiply the denominator by the whole number and add the numerator.

3 x 2 + 1 = 7

Now we have 4/5 x 7/2. Now we multiply the numerator then the denominator.

4 x 7 = 28

5 x 2 = 10

Now we have 28/10 as an answer. We then simplify the answer. 28/10 = 2 and 8/10. We can even simplify this more to 2 and 1/4.

Now we know that it will take 2 and 1/4 hours to reach Grandma's house.

#10

It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days?

In each 5 days, 3/5 is used. So all you have to do is multiply the numerator by 5.

5 x 3 = 15.

15/5 or 3 tanks

In five days it takes 3 tanks of gas to get to work.

#11

Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th b-day, how will old Owen be?

8 x 2 1/4 is the basic question. Again we should not multiply mixed fractions, so we convert.

2 x 4 + 1 = 9

The question becomes: 8 x 9/4

*When we have a whole number being multiplied to a fraction, all you have to do is multiply the whole by the numerator and use the same denominator.*

72/4 is what it will become but now we have to simplify. Both numerator are even so the can be divided by two.

36/2 again they are both even.

18/1 is the most simple form possible. It's basically just 18.

Owen will then be 18 when Robin becomes 8.

#12

The Karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?

The question is basically asking: 3 x 3 1/4.

3 x 13/4

39/4

9 and 3/4

I got lazy and didn't show my work so I hope you figured out what I did. If not, check out the other question i did.

It will take 9 and 45 minutes to test 3 groups of 4 candidates each.

Labels: awesome stuff, Lissa8-16, multiplying fractions, Nicko 8-16

### Multiplying Fractions- Homework

Gian Bailon

April 28 2009 <3

In Mr. Harbeck's class today we corrected our math homework. Our math homework was about multiplying fractions and today too we our homework was about multiplying fractions. Me and Gian diceded to split our math homework in half.

Eunice's:

9. The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how long will it take to get to Grandman's house if you travel at the same speed?

It will take 15 8/10 hours to travel to grandma's house if you travel at the same speed.

10. It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking.

This question is hard. I didn't know how to multiply mixed fractions with whole numbers so I asked and all you do is that when you're multiplying fractions with whole numbers, consider the whole number is the numerator and your denominator would be 1.

11. Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th brithday, how old will Owen be?

12. The karate club is arranging a grading for its member. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?

Gian's:

Homework Questions ..

Number ( 6, 7 , 8 )

Question 8 ;

Question 6 ;

Question 7 ;

Well we hope that we helped you. Comment at the bottom. :) <3>

THANK YOU! :)

### Scribe Post April 27, 2009

Now for homework today we had nine questions for multiplying fractions I am going to do three different questions, so you can see how to do them. :]

My first question is one form the two that you had to draw a picture for.

The question is 4/5 x 1/2 or 1/2 of 4/5.

Now first I will solve it. So all I have to do is multiply the denominators and multiply the numerators.

(numerators) 4 x 1 = 4

(denominators) 5 x 2 = 10

4/5 x 1/2 = 4/10

Now simplify

4/10 = 2/5

PICTURE

I think that's how you make the picture, but I am not sure because well I just don't know how to draw a picture of multiply fractions.

The next question is 3/4 x 1/2 x 6/7=?

3 x 1 x 6 = 18

4 x 2 x 7 = 21

3/4 x 1/2 x 6/7 = 18/21

now simplify.

18/21 = 6/7

YAY!! I hope!

Okay next question is 9/10 x 5/18.

Now first I am going to switch around the 5 and the 9 because it doesn't matter which side it is on because you are multiplying them together anyways.

So now the question is 5/10 x 9/18 or 1/2 x 1/2, now that is much more friendly. :]

1 x 1 = 1

2 x 2 = 4

1/2 x 1/2 = 1/4

There I hope it helped. Sorry I didn't do all of them

### Skills Assignment 3

### 1st Skills Post

1. 2/3 and 4/6

- explain in 2 ways how they're different or the same. - you can convert them into percentage, decimals or draw a picture.

This one is the same fractions, because if you convert it to a percent, decimal it will be the same. And if you draw a picture it will take up the same amount of space.

2/3 x 2 = 4/6 or

4/6 divided by 2 is 2/3

2/3 of a hundred is 66%

picture:

2. 1/8 and 1/4

- explain in 2 ways how they're different or the same. - you can convert them into percentage, decimals or draw a picture.

This one are not the same fractions, because when you convert it to percent or decimal it will show that one is bigger than the other.

decimal:

1/8 = 0.125

1/4 = 0.25

picture:

### Scribe Post for April 23, 2009

**Carol Gardens**

**Flatbush**

Flatbush

We have to divide the playground (the blue) into fourths in order to get the answer. Cut 2/5 into fourths there would be 20 pieces but eight of the pieces is playground. We then have to change the denominator of 4 into a denominator of 8 so we could know how many squares to colour in. So, 3/4 times the bottom to 20 is 3. What you do to the top you do to the bottom so 3x2=6. So that means you have to colour in 6 out of 8 squares.

From the two pictures you could see that both of the hardtops are equivalent. They both make a fraction of 6/20. So, the answer is the Carol Gardens and the Flatbush have the same amount of hardtop on their playgrounds.

The next scribe is.... MAARC ! :D

### Skills Fractions

To find the decimal you have to divide the numerator by the denominator.

2 divided by 3 = 0.6 repeated

4 divided by 6 =0.6 repeated

Once more to to get a decimal you have to divide the numerator by the denominator.

1 divided by 4 = 0.25

1 divided by 8 = 0.125

So in conclusion we found out that to get a decimal you have to divide the numerator by the denominator.

### To Borrow or to be Improper that is the Question

My first question is 3 1/4 - 1 1/2 = ?

First we are going to find the lowest common denominator.

3 1/4 1 1/2

3 1/4 1 2/4

You can subtract 1 from 3, but you can't subtract 2/4 from 1/4. So you have to make the 1/4 bigger by borrowing 1 whole or in this case 4/4.

3-1=2

4/4 + 1/4= 5/4

2 + 5/4 = 2 5/4

Now we solve!

2 5/4 - 1 2/4

2-1=1

5/4 - 2/4 = 3/4

1= 3/4 = 1 3/4

The next question is 50 1/10 - 25 4/5=.

First we find the lowest common denominator.

1/10 4/5

1/10 8/10

50 1/10 - 25 8/10

Now you can take away 25 from 50, but you can't take away 1/10 from 8/10 so you have to make the 1/10 bigger by borrowing 1 whole or in this case 10/10.

50-1=49

1/10 + 10/10= 11/10

49 11/10 - 25 8/10

49 - 25 = 24

11/10 - 8/10 = 3/10

24 + 3/10 = 24 3/10

### JP's Improper Fraction Post

3 1/4 - 1 1/2=?

Borrowing

50 1/10 - 25 4/5

49 10/10 + 1/10

49 11/10 - 24 5/5 + 1/5

49 11/10- 24 6/5

### Borrow or be Improper Fraction Post

3 1/4 - 1 1/2

Borrowing

50 1/10 - 25 4/5

49 10/10 + 1/10

49 11/10

25 4/5

24 5/5 + 1/5

24 6/5 - 49 11/10

### To borrow or to be improper

I don't really know how, but i will explain the best i can

The question is 50 1/10 - 25 4/5 when you do this without borrowing it would look like this

50 1/10 - 25 8/10 , 1/10 - 8/10 is kind of impossible ...

So you have to borrow . We will borrow from 50 1/10

All you need to borrow in this question is one , just enough so you can subtract 8

now it will look like 49 11/10

49 - 25 = 26

change the fractions from 4/5 to 8/10

11/10 - 8/10 = 3/10

26 3/10 is the answer :)

### Skills Post : Fraction

There are many ways to find the difference between fractions but we will only consider 2. One way is to find its decimal value. We will do this for 2/3 and 4/6.

To find the decimal value of a fraction, you must divide numerator by the denominator.

2/3 =0.666

4/6 =0.666

As you can see both numbers equal the same amount.

Another way we can find out which fraction is smaller is by finding the common denominator. We will use this method to find the smaller piece between 1/4 and 1/8.

To do this we need to find the common denominator of 4 and 8. One way you can do this is by multiplying the numbers. A different way is just by counting multiples until you find a common denominator. We will use the second way to answer this question.

If we keep counting by fours, we will get to eight right away. Eight is then the lowest common denominator. We know to get four to eight we need to multiply by 2, therefore we need to multiply the numerator by two too.

1/4 = 2/8

now we can compare or contrast.

2/8 > 1/8

Now we know that 1/4 is bigger than 1/8.

### Scribe Post

**On Friday we pretty much went over the homework from the day before, then we got a double-sided paper with a bunch of questions on it for homework.**

Here's an example of an adding question. :]

A.

The first thing you have to do is find the common denominator. (it's best to find the lowest common denominator.)

The easiest way to find it is by multiplying the denominators. In this question, 4 multiplied by 5 gives you 20, which is the denominator. But multiplying isn't always the best solution.

Remember, what you do to the bottom, you must to do the top:

- you multiplied 4 by 5 to get 20, so you have to multiply 1 by 5, which gave you 5.

- you multiplied 5 by 4 to get 20, so you have to multiply 3 by 4, which gave you 12.

Last, add the numerators together, and you get your answer.

Here's an example of a subtraction question.

B.

Here's an example of an adding question. :]

A.

The first thing you have to do is find the common denominator. (it's best to find the lowest common denominator.)

The easiest way to find it is by multiplying the denominators. In this question, 4 multiplied by 5 gives you 20, which is the denominator. But multiplying isn't always the best solution.

Remember, what you do to the bottom, you must to do the top:

- you multiplied 4 by 5 to get 20, so you have to multiply 1 by 5, which gave you 5.

- you multiplied 5 by 4 to get 20, so you have to multiply 3 by 4, which gave you 12.

Last, add the numerators together, and you get your answer.

Here's an example of a subtraction question.

B.

**Just like the last question, you have to find the smallest common denominator, which is 18. But you shouldn't multiply for this one. Instead, just look (or think) for the smallest common denominator that both numbers fit into.**

Also like the last question, make sure you do the same to the top as you did to the bottom.

And last, you subtract the numerators, and then you get your answer.

Also like the last question, make sure you do the same to the top as you did to the bottom.

And last, you subtract the numerators, and then you get your answer.

**In this question, you must do the brackets first. The same rules apply, you must find the lowest common denominator, which is 4. Make sure you do the same to the top as you did to the bottom, and then add the numerators.**

Then, write the answer from the brackets (five eighths) and bring down the numbers outside of the brackets. Find the lowest common denominator, do the same to the top as you did to the bottom, add the numerators together, and you get your answer.

Word problem:

Q. Kent walked 3 fourths of a mile on Monday. On Tuesday, he walked 1 eighth of a mile less than on Monday. How far did he walk altogether?

Then, write the answer from the brackets (five eighths) and bring down the numbers outside of the brackets. Find the lowest common denominator, do the same to the top as you did to the bottom, add the numerators together, and you get your answer.

Q. Kent walked 3 fourths of a mile on Monday. On Tuesday, he walked 1 eighth of a mile less than on Monday. How far did he walk altogether?

**Make sure you do both sides of the page! :]**

### SkillsPost

### Scribe Post for April 16

The questions were:

1. 4/5 + 1 1/0 =

2. 2/3 + 1 1/2 =

3. 3/4 - 3/8 =

4. 4/5 - 1/2 =

5. 5/8 - 1/3 =

6. 13/50 - 4/5 =

### The Green Effect

The Green Effect!

Okay guys! I found this really cool idea! Its called the green effect.

**National Geographic**with Sun Chips are joining forces to inspire people to make a change in their communities. We need to compose a letter to National Geographic of 250 words or less explaining what we can do to make our community a GREEENER place. The five best ideas will win $20,000 dollars to help make their community a greeener place.

Some ideas would be like making a garden, putting recycling boxes around parks, making our school more green and other stuff! Imagine if what we can do with $20,000 dollars to make our community more GREEN

For more information please visit http://greeneffect.nationalgeographic.com/

Online voters will choose one winner, and a panel of judges will select the remaining four.

### ScribePost for April 13 09

### Scribepost for april 14!!!!!!!!!

### Skills Fractions

In skills we had to prove 2 different ways, if these two fractions 2/3 and 4/6 were greater, less than, or equal too each other. I did it in decimals and pictures. A key word we needed to think about was "precise".

DECIMAL: When you divide fractions you always divide the numerator by the denominator. 2/3 is 2 divided 3. Your answer will be 0.666 (repeating) Then you divide 4 by 6 and get 0.666 (repeating) Now you know that both of the fractions are the same or equivalent.

PICTURE:

2/3 and 4/6 are equal but not completely the same...

Even though they have the same amount of entirety that pieces they are cut into are different . They are also written differently .

The second question we had to do was, 1/8 and 1/4. is 1/4 bigger - smaller - or equal to 1/8? To find the answer you need to do the same thing for this question like you did for the first. I'll show you in a decimal and a picture ...

DECIMAL: 1 divided by eight = 0.125

DECIMAL: 1 divided by four = 0.25

PICTURE

so you can see that 1/4 is bigger than 1/8

1/4 is cut into smaller pieces . would you rather have 1 out of four pieces or 1 out of eight pieces ?

PICTURES FROM: Rayna