Question

14.By what number should -5/8 be multiply to get -14/8​

Answer 1

Answer:

ANSWER IS -14/5.

Step-by-step explanation:

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Answer 2

SOLUTION:

Let the number be x, as value is unknown, we will find it.

So,

It is multiplied with -5/8 to get -14/8

So, here is the equation, we get,

⇒ -5/8 * x = -14/8

⇒ x = -14/8 ÷ -5/8

[∵ Taking (-5/8) to RHS, and it will be  divided that side.]

⇒ x = -14/8 * -8/5

[When we change the division sign to multiplication we do reciprocal]

⇒ x = -14/5

[8 is cancelled out and (-)*(-) = (+)]

Hence

The number is x = -14/5 which should be multiplied with -5/8 to get -14/8.

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Verification:

LHS = -5/8 * x

[Putting the value of x]

= -5/8 * 14/5

= -14/8 = RHS

[as 5 will be cancelled]

Hence, verified.