Question

Which of the following fractions is the largest fraction?

• A. $\frac{6}{9}$
• B. $\frac{3}{4}$
• C. $\frac{5}{9}$
• D. $\frac{4}{6}$

Answer 1

The correct option is B $\frac{3}{4}$

Let's first convert the given fractions to like fractions with the same denominator.
For this, we find the LCM of the denominators of the given fractions.

The LCM of 4, 9, 6 and 9
= 2 $\times$ 2 $\times$ 3 $\times$ 3 = 36

Let's now convert each fraction to its equivalent fraction with the denominator 36.

$\frac{3}{4}$ = $\frac{3\times 9}{4\times 9}$ = $\frac{27}{36}$

$\frac{5}{9}$ = $\frac{5\times 4}{9\times 4}$ = $\frac{20}{36}$

$\frac{4}{6}$ = $\frac{4\times 6}{6\times 6}$ = $\frac{24}{36}$

$\frac{6}{9}$ = $\frac{6\times 4}{9\times 4}$ = $\frac{24}{36}$

So, the fraction $\frac{27}{36}$ is the largest, hence the corresponding fraction $\frac{3}{4}$ is the largest among the given ones.