Question

The sum of two rational numbers is -4/9 . If one of them is 5/6 then, the other rational number is ________________.

a) -23/18
b) 23/18
c) 7/18
d) -7/18

Answer 1

Answer:

-21/18

Step-by-step explanation:

Answer 2

Answer :-

• Option a) is correct.

• The other number is - 23/18

To find :-

• The other number.

Step-by-step explanation :-

• Here it is given that the sum of two rational numbers is -4/9 and one of them is 5/6, we have to find the other number.  

 

Let :-

• The other number be "x".

Then :-

• 'x' added to 5/6 will be equal to -4/9.

Therefore,

$\longrightarrow \: \sf{\dfrac{5}{6} + x = \dfrac{- 4}{9}}$

$\longrightarrow \: \sf{x = \dfrac{- 4}{9} - \dfrac{5}{6}}$

$\longrightarrow \: \sf{x = \dfrac{(-4 \times 2) - (5 \times 3)}{18}}$

$\longrightarrow \: \sf{x = \dfrac{ - 8 - 15}{18}}$

$\longrightarrow \: \sf{x = \dfrac{ - 23}{18}}$

Hence :-

• The other Number is -23/18.
• Option a) is correct.

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V E R I F I C A T I O N

• To check our answer, let's add up -23/18 and 5/6 and see whether we get -4/9.

$\dashrightarrow\bf \dfrac{-23}{18} + \dfrac{5}{6}$

$\dashrightarrow \bf \dfrac{(-23 \times 1 ) + (5 \times 3)}{18}$

$\dashrightarrow \bf \dfrac{-23 + 15}{18}$

$\bf \dashrightarrow \dfrac{-8}{18}$

Reducing the fraction to it's simplest form,

$\dashrightarrow \bf \dfrac{-4}{9}$

We get -4/9 on adding -23/18 and 5/6.

Hence verified!

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