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Which one of the following fractions is greatest?

Which one of the following fractions is greatest?
(A)    5/6
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set O: Fractions & Decimals

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Posted: 08/27/2012 08:41
When cross multiplying to compare 2 fractions, how do you attribute 25 to 5/6 and 24 to 4/5?
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Posted: 08/27/2012 08:42
When cross multiplying to compare 2 fractions, why do you attribute 25 to 5/6 and 24 to 4/5?
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Posted: 08/27/2012 13:37
Alissa, to answer your question, we must understand the logic behind cross multiplying to compare 2 fractions. All we are doing in comparative cross-multiplication is multiplying both fractions with the least common multiple of the denominators. Since you are comparing 5/6 and 4/5, the least common multiple of 6 and 5 is 30.

Multiplying 5/6 by 30 = 5 * 5 = 25
Multiplying 4/5 by 30 = 4 * 6 = 24

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