Question

Solve:
a. The sum of two rational numbers is (-3/7). If one of the numbers is (-5/8), then
find the other
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Answer 1

Answer:

Given , Sum of two rational numbers = -3/7

One if the number = -5/8

Find another number .

Therefore , -3/7 -(-5/8) gives us the value of the another number

>> -3/7 + 5/8

>> By taking LCM

>> -24 + 35 / 56

>> 11/56

Answer 2

$\huge\underline{\overline{\mid{\bold{\red{Answer}}\mid}}}$

Let the other number be x

A.T.Q.

$\sf \: \frac{ - 5}{8} + x = \frac{ - 3}{7}$

$\sf \: x = \frac{ - 3}{7} + \frac{5}{8}$

Take L.C.M. to make the denominators same.

L.C.M. of 7 and 8=2×2×2×7=56

___________________

$\large \sf \frac{ - 3}{7} \times \frac{8}{8} = \frac{ - 24}{56}$

$\large\sf \frac{5}{8} \times \frac{7}{7} = \frac{35}{56}$

___________________

$\sf \: x = \frac{ - 24+ 35}{56} = \frac{11}{56}$

$\sf \: So \: \frac{11}{56} \: should \: be \: added \: to \: \frac{ - 5}{8} \: to \: get \: \frac{ - 3}{7}$

Hope it helps you.....