Question

Write answer in simplest form. to divide by a fraction multiply by its reciprocal.

i don’t understand. help?

Answer 1

5 1/4 or 21/4.

Explanation:

The reciprocal of 2/3 is 1 divided by 2/3 = 3/2.

Also we convert the 3 1/2 to an improper fraction. That is 7/2. So:

3 1/2 ÷2/3

= 7/2 ÷ 2/3

= 7/2 * 3/2

= 21/4

= 5 1/4.

Answer 2

21/4

Explanation:

Reciprocal means you swap the fraction around.

So divide by 2/3 becomes multiply by 3/2.

In this example:

3 1/2 * 3/2 = 7/2 * 3/2 = 21/4