Question

What number should be subtracted from $5$ to get $1\frac{5}{13}$?

Answer 1

Let the number that should be subtracted be $x$.

According to the question:

$5-x=1\frac{5}{13}$

$5-x=\frac{18}{13}$

$x=\frac{5}{1}-\frac{18}{13}$

To find the required value we have to take L.C.M of the denominator.

The L.C.M of $1$ and $13=13$

$x=\frac{5\times 13}{1\times 13}-\frac{18}{13}$

$=\frac{65-18}{13}=\frac{47}{13}=3\frac{8}{13}$.

Hence, the required number is $3\frac{8}{13}$.