The sum of two rational numbers is $\frac{-5}{8}$. If one of them is $\frac{7}{16}$find the other.

Given:

Sum of two rational numbers  =  $\frac{-5 }{8}$

One of the number   =  $\frac{7}{16}$

To do: Find the other rational number

Solution:

Another number       =  $x$

$x+\frac{7}{16} = \frac-{5}{8}$

$x= -\frac{7}{16}  \frac-{5}{8}$

Here denominators are different,

so find LCM of 8 and 16

LCM of 8 and 16 is 16

$x$ = $\frac{-5 \times 2}{8 \times 2} - \frac{7}{16}$

$x = \frac{-10}{16} - \frac{7}{16}$

$x = \frac{-10-7}{16}$

$x = \frac{-17}{16}$

So, another number is   $\frac{-17}{16}$

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Updated on: 10-Oct-2022

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