Question

Which of the following is the smallest fraction?
$\frac{1}{4},\frac{3}{4},\frac{1}{7},\frac{4}{7}$

• A. $\frac{1}{4}$
• B. $\frac{3}{4}$
• C. $\frac{1}{7}$
• D. $\frac{4}{7}$

Answer 1

The correct option is C $\frac{1}{7}$

To compare unlike fractions, we first need to convert them into like fractions.
As we can see, in the given fractions 4 and 7 are the denominators. So, we need to find out the LCM of 4 and 7.
LCM (4, 7) = 4 × 7 = 28

$\frac{1}{4}=\frac{1\times 7}{4\times 7}=\frac{7}{28}\frac{3}{4}=\frac{3\times 7}{4\times 7}=\frac{21}{28}\frac{1}{7}=\frac{1\times 4}{7\times 4}=\frac{4}{28}\frac{4}{7}=\frac{4\times 4}{7\times 4}=\frac{16}{28}$

Since the smallest among these is $\frac{4}{28}$,
the smallest fraction is $\frac{1}{7}$.