Bunuel wrote:

Which of the following fractions is the largest?

A. 5/6

B. 11/14

C. 12/15

D. 17/21

E. 29/35

In order to compare fractions, take LCM of all denominators, 6,14,15,21,35.

LCM=210

A) \(\frac{5}{6}\) = \(\frac{5*35}{6*35}\)=\(\frac{175}{210}\)

B) \(\frac{11}{14}\) = \(\frac{11*15}{14*15}\)=\(\frac{165}{210}\)

C) \(\frac{12}{15}\)= \(\frac{12*14}{15*14}\)= \(\frac{166}{210}\)

D) \(\frac{17}{21}\) = \(\frac{17*10}{21*10}\) = \(\frac{170}{210}\)

E) \(\frac{29}{35}\) = \(\frac{29*6}{35*6}\)= \(\frac{174}{210}\)

We see that A is the largest.

Answer A

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