Question

The product of two number is -16 /35. if one of the number is -15/ 14, the other is

Answer 1

Answer:

this is your answer for your question

Answer 2

Answer :-

• The other number is 32/75.

To find :-

• The other number.

Step-by-step explanation:

• Let the other number be "x".

It is given that :-

• The product of -15/14 and x is -16/35.

Therefore,

$\longmapsto \tt x \times \dfrac{- 15}{ \: \: 14} = \dfrac{- 16}{ \: \: \: 35}$

$\longmapsto \tt x = \dfrac{ - 16}{ \: \: \: 35} \div \dfrac{ - 15}{ \: \: \: 14}$

$\tt{\longmapsto \: x = \dfrac{- 16}{ \: \: \: 35} \times \dfrac{ \: \: \: 14}{- 15}}$

$\tt{\longmapsto \: x = \dfrac{- 224}{- 525}}$

$\tt{\longmapsto \: x = \dfrac{\not{\!\!-} 224}{\not{\!\!-} 525}}$

$\tt{\longmapsto \: x = \dfrac{224}{525}}$

Cancelling the numbers,

$\longmapsto {\tt \: x = \dfrac{32}{75}}$

Hence :-

• The other Number is 32/75.

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Verification :-

• To check our answer, let's multiply -15/14 with 32/75 and see whether we get -16/35.

Product of -15/14 and 32/75 :-

$\sf{\longrightarrow \: \dfrac{32}{75} \times \dfrac{- 15}{\:\:\:14}}$

$\sf{\longrightarrow \: \dfrac{- 480}{1050}}$

Cancelling the numbers,

$\sf{\longrightarrow \: \dfrac{- 16}{\:\:\:35}}$

• We get -16/35 on multiplying -15/14 with 32/75.

Hence verified!

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