16/9 - 9/4 as a fraction

Learn how to find what is 16/9 minus 9/4 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 - 9/4 as a fraction and decimal.

Summary: 16/9 minus 9/4 = -17/36
Since both fractions have unequal denominators, 16/9 minus 9/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 9/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 4. 36 is the LCM of 9 and 4. Multiplying the LCM 36 with the numerators and denominators of both fractions (16/9 x 36/36) - (9/4 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 64/36 and for 9/4 is 81/36. By simplifying this fraction subtraction 64/36 - 81/36, it becomes -17/36.

CALCULATION: 16/9 - 9/4 as a fraction
16/9 - 9/4 = (?)
16/9 - 9/4 = [(16 x 4) - (9 x 9)]/(9 x 4)
= (64 - 81)/36
= -17/36
16/9 - 9/4 = -17/36
16/9 minus 9/4 as a fraction is -17/36.

where
16/9 is a improper fraction as a minuend,
9/4 is a improper fraction as a subtrahend,
-17/36 is the difference between 16/9 and 9/4.

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16/9 minus 9/4 as a decimal
16/9 - 9/4 = -17/36
-17/36 = -0.4722
(16/9) - (9/4) as a decimal is -0.4722

where
-0.4722 is the difference between 16/9 and 9/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/4 from 16/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/9 minus 9/4.
1. LCM method
2. Cross multiplication method.

(16/9) - (9/4) using LCM Method:
What is 16/9 minus 9/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 9/4

What to be found?
(16/9) - (9/4) = ?
Find what's the difference between 16/9 and 9/4.

step 2 Compare the denominators of fractions 16/9 and 9/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/9 and 9/4 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 16/9 and 9/4:
The LCM of 9 and 4 is 36.

step 4 Write the fractions 16/9 and 9/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 - 9/4
= [(16 x 36)/(9 x 36)] - [(9 x 36)/(4 x 36)]

step 5 Simplify the expression to have common denominator:
= 64/36 - 81/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (64/1 - 81/1)
= 1/36 x (64 - 81)

step 7Simplify the above expression further:
= 1/36 x -17
= -17/36
16/9 - 9/4 = -17/36

Hence,
16/9 minus 9/4 as a fraction is -17/36.

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16/9 - 9/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 9/4

What to be found?
(16/9)-(9/4) = ?
Find what's the difference between 16/9 and 9/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 4), find the product of numerator of Fraction B and denominator of Fraction A (9 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 4) and rewrite the equation as like the below:
= (16 x 4) - (9 x 9)/(9 x 4)

step 3 Simplify and rewrite the fraction:
= (64 - 81)/36
16/9 - 9/4 = -17/36

Hence,
16/9 minus 9/4 in fraction is -17/36