Which of the following fractions is the greatest:
$\frac{-3}{4} , \frac{5}{12} , \frac{-7}{16} , \frac{3}{24}$.

Given :

The given fractions are $\frac{-3}{4} , \frac{5}{12} , \frac{-7}{16} , \frac{3}{24}$.

To do :

We have to find which of the given fractions is greatest.

Solution :

We know that positive numbers are greater than negative numbers.

Therefore,

$\frac{5}{12}$ and $\frac{3}{24}$ are greater than $\frac{-3}{4}$ and $\frac{-7}{16}$.

To compare  $\frac{5}{12}$ and $\frac{3}{24}$

First, find the LCM of the denominators.

LCM of 12 and 24 is 24.

$\frac{5 \times 2}{12 \times 2} = \frac{10}{24}$

$\frac{10}{24} > \frac{3}{24}$, because, $10 > 3$.

Therefore, $\frac{5}{12} > \frac{3}{24}$.

$\frac{5}{12}$ is the greatest fraction from the given fractions.

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Updated on: 10-Oct-2022

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