816 Math Blog

Question 6
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.

Sorry im last guys. Here it is!


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

sorry .

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 Grandma's house if you travel at the same speed?


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.

So yeah I have to talk about how to multiply fractions

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

Well I really didn't feel like making anything special for this so I just made a plain presentation from google. Well, here goes...hope you like it :P.



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"

Rayna and Samantha :]

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.

Nicko's Stuff:
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.

Christian Odulio
Tracey Sayas

Tracey's Questions