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Answer 1 · 2017-09-16T13:34:21

See a solution process below:

To determine which fraction is larger than $\frac{5}{6}$ $5/6$ we can put each fraction over a common denominator and see which is larger.

7/8:

$\frac{5}{6} \times \frac{8}{8} \Rightarrow \frac{40}{48}$ $5/6 xx 8/8 => 40/48$

$\frac{7}{8} \times \frac{6}{6} \Rightarrow \frac{42}{48}$ $7/8 xx 6/6 => 42/48$

$\frac{7}{8}$ $7/8$ is larger than $\frac{5}{6}$ $5/6$

4/5

$\frac{5}{6} \times \frac{5}{5} \Rightarrow \frac{25}{30}$ $5/6 xx 5/5 => 25/30$

$\frac{4}{5} \times \frac{6}{6} \Rightarrow \frac{24}{30}$ $4/5 xx 6/6 => 24/30$

$\frac{5}{6}$ $5/6$ is larger than $\frac{4}{5}$ $4/5$

3/4

$\frac{5}{6} \times \frac{4}{4} \Rightarrow \frac{20}{24}$ $5/6 xx 4/4 => 20/24$

$\frac{3}{4} \times \frac{6}{6} \Rightarrow \frac{18}{24}$ $3/4 xx 6/6 => 18/24$

$\frac{5}{6}$ $5/6$ is larger than $\frac{3}{4}$ $3/4$

2/3

$\frac{5}{6}$ $5/6$

$\frac{2}{3} \times \frac{2}{2} \Rightarrow \frac{4}{6}$ $2/3 xx 2/2 => 4/6$

$\frac{5}{6}$ $5/6$ is larger than $\frac{2}{3}$ $2/3$