2/5 divided by 10/9 equals to

2/5 divided by 10/9 as a fraction equals to 9/25. The detailed step by step solution using the easiest method is given below which shows how to find what is (2/5) / (10/9) in simplest form.

2/5 divided by 10/9 equals to:
2/5 ÷ 10/9 = 9/25

where,
2/5 is the dividend,
10/9 is the devisor,
9/25 is the quotient.

Points to Remember: 2/5 divided by 10/9
(2/5) / (10/9) = 2/5 x 9/10. Hence, instead of performing the division, multiplying 2/5 with the reciprocal of 10/9 is the easiest method to find what is 2/5 divided by 10/9 in fraction form.

The below work with steps for 2/5 divided by 10/9 as a fraction help users to easily understand how to find what is 2/5 times 9/10.

Solved Example:
Find what is 2/5 divided by 10/9 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 = 10/9

What to be found:
Find what is 2/5 divided by 10/9 in fraction.
(2/5) / (10/9) = ?

step 2 Find the reciprocal of fraction 10/9:
The reciprocal of fraction 10/9 is 9/10.

step 3 Multiplying 2/5 with reciprocal of 10/9 that is 2/5 times 9/10 produces the equivalent fraction for (2/5) / (10/9):
= 2/5 x 9/10
= (2 x 9)/(5 x 10)
= 1 x 9 / (5 x 5)
= 9/25
(2/5) / (10/9) = 9/25

Hence,
2/5 divided by 10/9 as a fraction equals to 9/25