Fill in the boxes:
(a) $ \square-\frac{5}{8}=\frac{1}{4} $
(b) $ \square-\frac{1}{5}=\frac{1}{2} $
(c) $ \frac{1}{2}-\square=\frac{1}{6} $

To do: 

We have to fill in the boxes.

Solution: 

(a) Let the number in the box be $x$.

This implies,

$x-\frac{5}{8}=\frac{1}{4}$

$x=\frac{1}{4}+\frac{5}{8}$

$x=\frac{1\times2+5\times1}{8}$

$x=\frac{2+5}{8}$

$x=\frac{7}{8}$

The number in the box is $\frac{7}{8}$.

(b) Let the number in the box be $x$.

This implies,

$x-\frac{1}{5}=\frac{1}{2}$

$x=\frac{1}{2}+\frac{1}{5}$

$x=\frac{1\times5+1\times2}{10}$

$x=\frac{5+2}{10}$

$x=\frac{7}{10}$

The number in the box is $\frac{7}{10}$.

(c) Let the number in the box be $x$.

This implies,

$\frac{1}{2}-x=\frac{1}{6}$

$x=\frac{1}{2}-\frac{1}{6}$

$x=\frac{1\times3-1\times1}{6}$

$x=\frac{3-1}{6}$

$x=\frac{2}{6}$

$x=\frac{1}{3}$

The number in the box is $\frac{1}{3}$. 

Tutorialspoint

Updated on: 10-Oct-2022

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