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Monday, May 11, 2009
Multiplying and Dividing Fractions

Question 1

Our first question is 2/3 multiplied by 9/10. First what we do is to multiply the numerators which is 2 and 9. So 2 x 9 equals to 18.

Now all that is left to do is to multiply the denominators. So 3 multiplied by 10 equals to 30.

Now the fraction we have is 18/30. So we simplify it and we get 3/5.

So our answer is 3/5 .

Question 2

Now we move on to dividing fractions. Our first Question is 1/4 divided by 3/4. When dividing fractions it always helps when using a ratio table.

Now we have to make it into a mixed fraction. First we have to figure out how many times does 4 go into 12 ? 3 , so 3 becomes the whole number. Since 4 goes into 12 perfectly and there are no left over 3 also becomes our numerator and the denominator stays the same.

Question 1

First what we do is look at the Denominators. Then we look at what the two Denominators both go into, then we multiply. 2 multiplied by 7 would give us the total of 14.

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Now that we multiplied both our numerators. All that is left to do is add both second fractions that we got which was 7 over 14 and 4 over 14.

So all we did for the last step was add the numerators and kept the denominators the same, which gave us the total fraction of 11 over 14.

Question 2

First we look at the Denominators, then we figure out what they both go into so 3 times 10 equals 30. Now we make a set of fractions that could go into 30. Now we divide. We divide 3 into 30 and also divide how many times 10 goes into 30.

The last thing we do now is to take away from the numerator which is 10 and 9. So 10 take away 9 equals to one. Then we keep the denominators the same and we have a fraction of 1 over 30.

Word Problems

Question 1

Question 2

Question 3