Question

What is the quotient in simplest form 3/4÷5/16

A.15/64

B. 15/16

C. 2 2/5

D. 2 8/20

Answer 1

c

Explanation:

3 x 16 48 12

4. 5. =. 20 =. 5. =. 2 ²/5

Answer 2

The quotient in simplest form 3/4÷5/16 is
`2(2)/(5)`

Solution:

We have to find the quotient in the simplest form for the division of two fractions.

Given expression is
`(3)/(4) / (5)/(16)`

If we invert one of the fractions the division sign between them will become multiplication, which makes the calculation easier.

This can be written as

`=(3)/(4) * (16)/(5)`

On simplifying the equation we get

`=(3 * 4)/(5)=(12)/(5)`

Since the answer is in an improper fraction, we need to change it into the mixed fraction form.

Which will become:
`=2 (2)/(5)`

Therefore, the option c is the correct answer.