Subtract:
$-\frac{1}{4}$ from $-\frac{2}{5}$

Given :

The given numbers are $-\frac{1}{4}$ and $-\frac{2}{5}$.

To do :

We have to subtract $-\frac{1}{4}$ from $-\frac{2}{5}$.

Solution :

$-\frac{2}{5} - (-\frac{1}{4})$

We know that,

$- \times - = +$

So, $-\frac{2}{5} + \frac{1}{4}$

Rewrite,

$\frac{1}{4} - \frac{2}{5}$

Now, the denominators are different, so take LCM of 4 and 5.

LCM of 4 and 5 is,

$5 \times 4 = 20$.

$\frac{1}{4} - \frac{2}{5}$

$\Rightarrow \frac{1\times 5}{4\times 5} - \frac{2\times 4}{5 \times 4}$

$= \frac{5}{20} - \frac{8}{20}$

$ = \frac{5-8}{20}$

$ = \frac{-3}{20} = -\frac{3}{20}$

Therefore, the value of $-\frac{2}{5} - (-\frac{1}{4})$ is $-\frac{3}{20}$

Tutorialspoint

Updated on: 10-Oct-2022

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