Question

To divide one number by another is to multiply the first by the multiplication inverse of the other is true?
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Answer 1

Answer:

True

Eg- 1/2÷3/2

=1/2*2/3

=1/3

Answer 2

True, to divide one number by another we can multiply the first by the multiplicative inverse of the other.

For better understanding, let's take 2/3 and 4/5 as examples.

We need to divide 2/3 by 4/5.

i.e., $\frac{2}{3}$ ÷ $\frac{4}{5}$

Now, we can take multiplicative inverse (also known as reciprocal) of 4/5.

(Multiplicative inverse for a number m is a number (1/m) which when multiplied with m gives multiplicative identity 1.)

Reciprocal of 4/5 will be 5/4                       (4/5 x 5/4 = 1)

On taking the reciprocal, ÷ will change to ×

⇒ $\frac{2}{3}$ × $\frac{5}{4}$ = $\frac{10}{12}$ or $\frac{5}{6}$