1/4 divided by 16/9 equals to

1/4 divided by 16/9 as a fraction equals to 9/64. The detailed step by step solution using the easiest method is given below which shows how to find what is (1/4) / (16/9) in simplest form.

1/4 divided by 16/9 equals to:
1/4 ÷ 16/9 = 9/64

where,
1/4 is the dividend,
16/9 is the devisor,
9/64 is the quotient.

Points to Remember: 1/4 divided by 16/9
(1/4) / (16/9) = 1/4 x 9/16. Hence, instead of performing the division, multiplying 1/4 with the reciprocal of 16/9 is the easiest method to find what is 1/4 divided by 16/9 in fraction form.

The below work with steps for 1/4 divided by 16/9 as a fraction help users to easily understand how to find what is 1/4 times 9/16.

Solved Example:
Find what is 1/4 divided by 16/9 equals to?

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
fraction A = 1/4
fraction B = 16/9

What to be found:
Find what is 1/4 divided by 16/9 in fraction.
(1/4) / (16/9) = ?

step 2 Find the reciprocal of fraction 16/9:
The reciprocal of fraction 16/9 is 9/16.

step 3 Multiplying 1/4 with reciprocal of 16/9 that is 1/4 times 9/16 produces the equivalent fraction for (1/4) / (16/9):
= 1/4 x 9/16
= (1 x 9)/(4 x 16)
= 9/64
(1/4) / (16/9) = 9/64

Hence,
1/4 divided by 16/9 as a fraction equals to 9/64