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

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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 $\frac{1}{3}$.

Updated on 10-Oct-2022 13:33:02