Math, asked by kushwahashreya68, 1 month ago

the sum of two rational number is -2/3.if one of them is -8/15.find other. solve worh steps please​

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Answered by premsuthar135
4

For given the sum of two rational number is

21 /4

Where one of the rational number is

7/5

Hence the other rational number is =

21/4

7/5

=

21/4−15

=−

21/11

HOPE IT HELPS ❤️

Answered by shruthi0601
1

Solution:

Given, the sum of two rational numbers is \frac{-2}{3}.

One of the number is \frac{-8}{15}

Let the other number be "x"

So, \frac{-8}{15} + x = \frac{-2}{3}

\frac{-8}{15} - \frac{-2}{3} = -x

Here LCM of 15 and 3 is 15. So,

\frac{-8}{15} + \frac{2(5)}{3(5)} = -x

\frac{-8+10}{15} = -x

-x = \frac{2}{15}

x=\frac{-2}{15}

Verification:

\frac{-8}{15} +\frac{-2}{15}

\frac{-8-2}{15}

\frac{-10}{15}

Dividing numerator and denominator by 5.

\frac{-2}{3}

Therefore, the other rational number is \frac{-2}{15}.

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