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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

Respuesta :

calculista

Answer:

Heather ate more than Jerry

Step-by-step explanation:

we have

Heather ate 5/8

Jerry ate 5/10

Decompose the number in the denominator in prime factors

[tex]8=2^{3}[/tex]

[tex]10=(2)(5)[/tex]

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

[tex]\frac{5}{5}(\frac{5}{8})=\frac{25}{40}[/tex]

Multiply Jerry's fraction by 4/4

[tex]\frac{4}{4}(\frac{5}{10})=\frac{20}{40}[/tex]

Compare the fractions

[tex]\frac{25}{40} > \frac{20}{40}[/tex]

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

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