Question

Heather and Jerry each bought an ice cream bar.Although the bars were the same size,they were different flavors.Heather ate 5/8 of her ice cream bar,and Jerry ate 5/10 of his. Who are more or did they eat the same amount

Answer 1

Heather ate more than Jerry

Explanation:

we have

Heather ate 5/8

Jerry ate 5/10

Decompose the number in the denominator in prime factors

`8=2^(3)`

`10=(2)(5)`

Find out the LCM (least common multiple)

LCM=2^{3}(5)=40

Divide

40/8=5

40/10=4

Multiply Heather's fraction by 5/5

`(5)/(5)((5)/(8))=(25)/(40)`

Multiply Jerry's fraction by 4/4

`(4)/(4)((5)/(10))=(20)/(40)`

Compare the fractions

`(25)/(40) > (20)/(40)`

Remember that

When comparing two fractions with the same denominator, the largest fraction will be the one with the largest numerator

therefore

Heather ate more than Jerry