1 $\left[\begin{array}{ll}\text { Common fractions }\end{array}\right]$

Which of the three fractions is the largest: $3 / 4, 4 / 5$ or $5 / 6$?
Try to bring the fractions to a common denominator.

## Solution

We will convert the fractions to a common denominator of 60 and get: $\frac{3}{4}=\frac{45}{60} ; \frac{4}{5}=\frac{48}{60} ; \frac{5}{6}=\frac{50}{60}$. From this, it follows that the largest fraction here is $\frac{5}{6}$. Another possible solution is: the first fraction is short of 1 by $\frac{1}{4}$, the second by $\frac{1}{5}$, and the third by $\frac{1}{6}$, so the largest fraction here is $\frac{5}{6}$.

## Answer

$5 / 6$.