Question

by what number should we multiple -8/18 so that the product becomes 24?
step by step explanation please....​

Answer 1

★ How to do :-

Here, we are given with a number which should be multiplied with an other number so that the answer when multiplied with other number is alos given. We are asked to find the value of the second number by which the first fraction should be multiplied with it. Here, we use a concept known as shifting the numbers from one hand side to the other. While doing this process, the sign of the particular number changes. We can also verify the statement. So, let's solve!!

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➤ Solution :-

${\tt \leadsto \dfrac{(-8)}{18} \times (x) = 24}$

Shift the first fraction on LHS to RHS, changing it's sign.

${\tt \leadsto (x) = 24 \div \dfrac{(-8)}{18}}$

Take the reciprocal of second fraction and multiply both the fractions.

${\tt \leadsto (x) = \dfrac{24}{1} \times \dfrac{18}{(-8)}}$

Multiply both the fractions together.

${\tt \leadsto (x) = \dfrac{24 \times 18}{1 \times (-8)}}$

Multiply the numerator and denominator.

${\tt \leadsto (x) = \dfrac{432}{(-8)}}$

Simplify the fraction to get the value of x.

${\tt \leadsto \pink{\underline{\boxed{\tt (x) = (-54)}}}}$

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Verification :-

${\tt \leadsto \dfrac{(-8)}{18} \times (x) = 24}$

Substitute the value of x.

${\tt \leadsto \dfrac{(-8)}{18} \times (-54) = 24}$

Write the second number as a fraction on LHS.

${\tt \leadsto \dfrac{(-8)}{18} \times \dfrac{(-54)}{1} = 24}$

Multiply the fractions now

${\tt \leadsto \dfrac{(-8) \times (-54)}{18 \times 1} = 24}$

${\tt \leadsto \dfrac{432}{18} = 24}$

Simplify the fraction on LHS.

${\tt \leadsto 24 = 24}$

So,

${\sf \leadsto LHS = RHS}$

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Hence verified !!