What number should be subtracted from $\frac{3}{7}$ to get $\frac{5}{4}$?


Given :

The given numbers are $\frac{3}{7}$ and $\frac{5}{4}$.

To do :

We have to find the number that should be subtracted from $\frac{3}{7}$ to get $\frac{5}{4}$.

Solution :

Let the number to be subtracted from $\frac{3}{7}$ to get $\frac{5}{4}$ be $x$.

This implies,

$\frac{3}{7}-x=\frac{5}{4}$

$x =\frac{3}{7} - \frac{5}{4}$

$x = \frac{[3(4)-5(7)]}{28}$

$x = \frac{(12-35)}{28}$

$x = \frac{-23}{28}$

The number to be subtracted from $\frac{3}{7}$ to get $\frac{5}{4}$ is $\frac{-23}{28}$.   

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Updated on: 10-Oct-2022

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