Question

The sum of 2 rational numbers is -3/7.if one of the number is -5/8,find the other

Answer 1

Answer:

the other number is 11/56.

Step-by-step explanation:

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Answer 2

Question ::-

The sum of 2 rational numbers is -3/7.if one of the number is -5/8,find the other ?

Given ::-

• Sum of two rational numbers = $\dfrac{-3}{7}$

• One of them is = $\dfrac{-5}{8}$

To find ::-

• Find the other number ?

Solution ::-

• Two numbers add to made a sum.

• Sum of numbers is $\dfrac{-3}{7}$.

• Among them , one number is $\dfrac{-5}{8}$

Let the other number be g.

According to question ::-

$➠$ $\dfrac{-5}{8}$ + g = $\dfrac{-3}{7}$.

$➠$ g = $\dfrac{-3}{7}$ - $(\dfrac{-5}{8} )$

$➠$ g = $\dfrac{-3}{7}$ + $\dfrac{5}{8}$

$➠$ g = $\dfrac{-24+35}{56}$

$➠$ g = $\dfrac{11}{56}$

___________

Let's varify ::-

L.H.S ::-

$➠$ $\dfrac{-5}{8}$ + g

Here , g = $\dfrac{11}{56}$

$➠$ $\dfrac{-5}{8}$ + $\dfrac{11}{56}$

$➠$ $\dfrac{-35+11}{56}$

$➠$ $\dfrac{-24}{56}$

$➠$ $\dfrac{-3}{7}$

__________

R.H.S ::-

$➠$ $\dfrac{-3}{7}$

[given]

Hence , L.H.S = R.H.S