2/5 divided by 4/15 equals to

2/5 divided by 4/15 as a fraction equals to 3/2. The detailed step by step solution using the easiest method is given below which shows how to find what is (2/5) / (4/15) in simplest form.

2/5 divided by 4/15 equals to:
2/5 ÷ 4/15 = 3/2

where,
2/5 is the dividend,
4/15 is the devisor,
3/2 is the quotient.

Points to Remember: 2/5 divided by 4/15
(2/5) / (4/15) = 2/5 x 15/4. Hence, instead of performing the division, multiplying 2/5 with the reciprocal of 4/15 is the easiest method to find what is 2/5 divided by 4/15 in fraction form.

The below work with steps for 2/5 divided by 4/15 as a fraction help users to easily understand how to find what is 2/5 times 15/4.

Solved Example:
Find what is 2/5 divided by 4/15 equals to?

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
fraction A = 2/5
fraction B = 4/15

What to be found:
Find what is 2/5 divided by 4/15 in fraction.
(2/5) / (4/15) = ?

step 2 Find the reciprocal of fraction 4/15:
The reciprocal of fraction 4/15 is 15/4.

step 3 Multiplying 2/5 with reciprocal of 4/15 that is 2/5 times 15/4 produces the equivalent fraction for (2/5) / (4/15):
= 2/5 x 15/4
= (2 x 15)/(5 x 4)
= 2 x 3/4
= 3/2
(2/5) / (4/15) = 3/2

Hence,
2/5 divided by 4/15 as a fraction equals to 3/2