5/4 divided by 4/9 equals to

5/4 divided by 4/9 as a fraction equals to 45/16. The detailed step by step solution using the easiest method is given below which shows how to find what is (5/4) / (4/9) in simplest form.

5/4 divided by 4/9 equals to:
5/4 ÷ 4/9 = 45/16

where,
5/4 is the dividend,
4/9 is the devisor,
45/16 is the quotient.

Points to Remember: 5/4 divided by 4/9
(5/4) / (4/9) = 5/4 x 9/4. Hence, instead of performing the division, multiplying 5/4 with the reciprocal of 4/9 is the easiest method to find what is 5/4 divided by 4/9 in fraction form.

The below work with steps for 5/4 divided by 4/9 as a fraction help users to easily understand how to find what is 5/4 times 9/4.

Solved Example:
Find what is 5/4 divided by 4/9 equals to?

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
fraction A = 5/4
fraction B = 4/9

What to be found:
Find what is 5/4 divided by 4/9 in fraction.
(5/4) / (4/9) = ?

step 2 Find the reciprocal of fraction 4/9:
The reciprocal of fraction 4/9 is 9/4.

step 3 Multiplying 5/4 with reciprocal of 4/9 that is 5/4 times 9/4 produces the equivalent fraction for (5/4) / (4/9):
= 5/4 x 9/4
= (5 x 9)/(4 x 4)
= 45/16
(5/4) / (4/9) = 45/16

Hence,
5/4 divided by 4/9 as a fraction equals to 45/16