Question

Which of the following fraction is greatest in value?

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

Answer 1

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

Comparing $\frac{1}{2}$, $\frac{2}{3}$, $\frac{3}{4}$, and $\frac{3}{6}$, we get,
12 is the first common multiple of 2, 3, 4, and 6.
$\frac{1}{2}$ = $\frac{1\times 6}{2\times 6}$ = $\frac{6}{12}$

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

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

$\frac{3}{6}$ = $\frac{3\times 2}{6\times 2}$ = $\frac{6}{12}$

When the fractions have the same denominator, the fraction with greater numerator has greater value.

So, the fraction $\frac{9}{12}$ has greatest numerator.
Therefore, the greatest fraction among the given options is $\frac{3}{4}$.