Question

Which of the following numbers is the greatest?

$\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{5}{6}$

• A. $\frac{2}{3}$
• B. $\frac{3}{4}$
• C. $\frac{5}{6}$
• D. $\frac{1}{2}$

Answer 1

The correct option is C $\frac{5}{6}$

To compare the numbers, we will make the denominator the same for all of them. LCM of $2,3,4,$ and $6$ is $12$

$\frac{1}{2}=\frac{1\times 6}{2\times 6}=\frac{6}{12}$

$\frac{2}{3}=\frac{2\times 4}{3\times 4}=\frac{8}{12}$

$\frac{3}{4}=\frac{3\times 3}{4\times 3}=\frac{9}{12}$

$\frac{5}{6}=\frac{5\times 2}{6\times 2}=\frac{10}{12}$


Hence, $\frac{5}{6}$ is the greatest of the given numbers.