Question

what should be added to 2/15 so as to get -8/5​

Answer 1

Answer:

-26/15 answer hope this helps you

Answer 2

Answer :-

• -26/15 should be added to 2/15 to get -8/5.

To find :-

• The number which should be added to 2/15 so as to get -8/5.

Solution :-

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

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

$\dashrightarrow\tt x = \dfrac{ (- 8 \times 3) - (2 \times 1)}{15}$

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

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

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V E R I  F I C A T I O N

• To check our answer, let's find the sum of 2/15 and -23/15 and see whether we get -8/5.

Sum of 2/15 and -23/15 :

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

$\dashrightarrow\bf\dfrac{2 + ( - 26)}{15}$

$\dashrightarrow \bf \dfrac{2 - 26}{15}$

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

Reducing the fraction to it's simplest form,

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

We get -8/5 on adding 2/15 and -26/15.

Hence verified!

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