Question

compare the sizes of $\frac{5}{6}$ and $\frac{9}{10}$

Explanation:

Step1: Find common denominator

The least common denominator of 6 and 10 is 30.

Step2: Convert fractions to like terms

$\frac{5}{6} = \frac{5\times5}{6\times5} = \frac{25}{30}$
$\frac{9}{10} = \frac{9\times3}{10\times3} = \frac{27}{30}$

Step3: Compare the numerators

Since $25 < 27$, $\frac{25}{30} < \frac{27}{30}$

Answer:

$\frac{5}{6} < \frac{9}{10}$