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Colleen compared the ratios 3:8 and 1/2.

Her work is shown below.
Write the ratios as fractions: 3/8 and 1/8 Compare the numerators: 3 > 1 Write the correct statement: 3/8 > 1/2

Where did Colleen make her first mistake?


A. The common denominator should be 4 rather than 8

B. The numerators are compared incorrectly.

C. The fraction 1/2 should have been rewritten as 6/8

D. The fraction 1/2 should have been rewritten as 4/8.



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2 Answers

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Answer:

D.The fraction
(1)/(2) should have been rewritten as
(4)/(8).

Explanation:

We are given that ratios as fraction


(3)/(8) and
(1)/(2)

Colleen compared between given ratios

We have to find the first mistake of Colleen in her work.

First we make denominator of both fraction same

Therefore, we will divide and multiply by 4 in second fraction number


(1)/(2)* (4)/(4)=(4)/(8)

The numerator of
(4)/(8) is greater then the numerator
(3)/(8).

Hence, the
(4)/(8) >(3)/(8)

Therefore, option D is true.

Answer:D.The fraction
(1)/(2) should have been rewritten as
(4)/(8).

User Stephen Talley
by
5.3k points
4 votes

To compare two fraction you need to rewrite the fractions so they have a common denominator.

1/2 should have been rewritten as 4/8

The answer is:

D. The fraction 1/2 should have been rewritten as 4/8.

User Bob Dem
by
5.4k points
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