Question

Select all statements that show correct reasoning for finding `12\div\frac{3}{5}`. Multiply 12 by 5, then multiply by $$ Multiply 12 by 3, then divide by 5. Multiply 12 by 1/5 then multiply by 3. Multiply 12 by 5, then divide by 3.

Answer 1

Given:

The expression is:

`12/ (3)/(5)`

To find:

The correct statement for solution of the given expression.

Solution:

We have,

`12/ (3)/(5)`

If a number is divided by a fraction, then we need to multiply the reciprocal of the fraction with the number.

It can be written as

`12/ (3)/(5)=12* (5)/(3)`

`12/ (3)/(5)=(12* 5)/(3)`

`12/ (3)/(5)=(60)/(3)`

`12/ (3)/(5)=20`

To simplify the given expression, we need to multiply 12 by 5, then divide by 3.

Therefore, the correct option is D.