4/9 - 9/16 as a fraction

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

Summary: 4/9 minus 9/16 = -17/144
Since both fractions have unequal denominators, 4/9 minus 9/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/9 and fraction 9/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 16. 144 is the LCM of 9 and 16. Multiplying the LCM 144 with the numerators and denominators of both fractions (4/9 x 144/144) - (9/16 x 144/144), and simplify further in order to have the common denominator. So the equivalent fraction for 4/9 is 64/144 and for 9/16 is 81/144. By simplifying this fraction subtraction 64/144 - 81/144, it becomes -17/144.

CALCULATION: 4/9 - 9/16 as a fraction
4/9 - 9/16 = (?)
4/9 - 9/16 = [(4 x 16) - (9 x 9)]/(9 x 16)
= (64 - 81)/144
= -17/144
4/9 - 9/16 = -17/144
4/9 minus 9/16 as a fraction is -17/144.

where
4/9 is a proper fraction as a minuend,
9/16 is a proper fraction as a subtrahend,
-17/144 is the difference between 4/9 and 9/16.

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4/9 minus 9/16 as a decimal
4/9 - 9/16 = -17/144
-17/144 = -0.1181
(4/9) - (9/16) as a decimal is -0.1181

where
-0.1181 is the difference between 4/9 and 9/16.

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

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

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

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

step 2 Compare the denominators of fractions 4/9 and 9/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/9 and 9/16 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 4/9 and 9/16:
The LCM of 9 and 16 is 144.

step 4 Write the fractions 4/9 and 9/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/9 - 9/16
= [(4 x 144)/(9 x 144)] - [(9 x 144)/(16 x 144)]

step 5 Simplify the expression to have common denominator:
= 64/144 - 81/144

step 6 Take the common values out and rewrite the above expression like the below:
= 1/144 x (64/1 - 81/1)
= 1/144 x (64 - 81)

step 7Simplify the above expression further:
= 1/144 x -17
= -17/144
4/9 - 9/16 = -17/144

Hence,
4/9 minus 9/16 as a fraction is -17/144.

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

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

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

step 3 Simplify and rewrite the fraction:
= (64 - 81)/144
4/9 - 9/16 = -17/144

Hence,
4/9 minus 9/16 in fraction is -17/144