Question

help me to solve this ​

Answer 1

Answer :-

• The required number is -26/15.

What to do?

• Find the number which should be added to 2/15 to get -8/5.

Step-by-step explanation :-

• Let the required number be "x".

It is given that :-

• When "x" is added to 2/15, we get -8/5.

Therefore,

$:\longmapsto \tt \dfrac{2}{15} + x = \dfrac{ - 8}{ \: \: \: 5}$

$:\longmapsto \tt x = \dfrac{ - 8}{ \: \: \: 5} - \dfrac{2}{15}$

$:\longmapsto\tt x = \dfrac{ (- 8 \times3) - (2 \times 1) }{15}$

$:\longmapsto\tt x = \dfrac{ - 24 - 2}{15}$

$:\longmapsto \tt x = \dfrac{ - 26}{ \: \: \: 15}$

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

• To check our answer, let's add up 2/15 and -26/15 and check whether we get -8/5.

$:\longmapsto \bf \dfrac{2}{15} + \dfrac{ - 26}{ \: \: \: 15}$

$:\longmapsto\bf\dfrac{2 - 26}{15}$

$:\longmapsto\bf \dfrac{ - 24}{ \: \: \: 15}$

Reducing the fraction to it's simplest form,

$:\longmapsto\bf \dfrac{ - 8}{ \: \: \: 5}$

We get -8/15 on adding -26/15 to 2/15.

Hence verified!

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