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 $-\frac{3}{20}$
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