Question

Subtract:

$\frac{7}{12}$ from $\frac{-3}{28}$

Answer 1

Step 1: Converting given fraction into equivalent fractions.

Given: $\frac{-3}{28}-\frac{7}{12}$.

To convert them into equivalent fractions, take LCM of the denominators.

LCM (least common multiple) of $28$ and $12$ is $84$.

$\frac{-3\times 3}{28\times 3}=\frac{-9}{84}$

and $\frac{7\times 7}{12\times 7}=\frac{49}{84}$

Step 2: Subtract $\frac{49}{84}$ from $\frac{-9}{84}$

So, $\frac{-3}{28}-\frac{7}{12}$

$$\begin{gathered} =\frac{(-9)}{84}-\frac{49}{84} \\ =\frac{-9-49}{84} \\ =\frac{-58}{84} \\ =\frac{-29}{42} \end{gathered}$$

Hence, $\frac{-3}{28}-\frac{7}{12}$ is $\frac{-29}{42}$.