Question

To divide by a fraction, you can multiply by its inverse.

Answer 1

Answer: Multiplying and Dividing are inverse operations

Multiplying by a number is the same as dividing by its reciprocal

Step-by-step explanation:

Answer 2

Answer:

Multiply and divide are inverse operations.

Multiply by a number is the same as divide by its reciprocal.

Step-by-step explanation:

To divide by a fraction, you can multiply by its inverse.

If a number is defined as a/b, then the reciprocal of the number is b/a.

The given equation is

$\frac{5}{8}\div \frac{2}{3}=\frac{5}{8}\times \frac{3}{2}$

Here, $\frac{3}{2}$ and $\frac{2}{3}$ are inverse of each other.

Reason 1:

Multiply and divide are inverse operations.

Reason 2:

Multiply by a number is the same as divide by its reciprocal.