Question

Which of the following is the smallest fraction?

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

Answer 1

The correct option is B $\frac{1}{6}$

The given fractions are
$\frac{1}{4},\frac{1}{6},\frac{5}{6},and\frac{3}{4}$

These fractions are unlike fractions, so first we need to convert them into like fractions.

LCM (4, 6) = 12

$\frac{1}{4}=\frac{1\times 3}{4\times 3}=\frac{3}{12}\frac{1}{6}=\frac{1\times 2}{6\times 2}=\frac{2}{12}\frac{5}{6}=\frac{5\times 2}{6\times 2}=\frac{10}{12}\frac{3}{4}=\frac{3\times 3}{4\times 3}=\frac{9}{12}$

The smallest among these fractions is clearly $\frac{2}{12}$, which is the same as $\frac{1}{6}$.