5/9 - 3/4 as a fraction

Learn how to find what is 5/9 minus 3/4 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 - 3/4 as a fraction and decimal.

Summary: 5/9 minus 3/4 = -7/36
Since both fractions have unequal denominators, 5/9 minus 3/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/9 and fraction 3/4 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 (5/9 x 36/36) - (3/4 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 5/9 is 20/36 and for 3/4 is 27/36. By simplifying this fraction subtraction 20/36 - 27/36, it becomes -7/36.

CALCULATION: 5/9 - 3/4 as a fraction
5/9 - 3/4 = (?)
5/9 - 3/4 = [(5 x 4) - (3 x 9)]/(9 x 4)
= (20 - 27)/36
= -7/36
5/9 - 3/4 = -7/36
5/9 minus 3/4 as a fraction is -7/36.

where
5/9 is a proper fraction as a minuend,
3/4 is a proper fraction as a subtrahend,
-7/36 is the difference between 5/9 and 3/4.

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5/9 minus 3/4 as a decimal
5/9 - 3/4 = -7/36
-7/36 = -0.1944
(5/9) - (3/4) as a decimal is -0.1944

where
-0.1944 is the difference between 5/9 and 3/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/4 from 5/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/9 minus 3/4.
1. LCM method
2. Cross multiplication method.

(5/9) - (3/4) using LCM Method:
What is 5/9 minus 3/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 3/4

What to be found?
(5/9) - (3/4) = ?
Find what's the difference between 5/9 and 3/4.

step 2 Compare the denominators of fractions 5/9 and 3/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/9 and 3/4 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 5/9 and 3/4:
The LCM of 9 and 4 is 36.

step 4 Write the fractions 5/9 and 3/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/9 - 3/4
= [(5 x 36)/(9 x 36)] - [(3 x 36)/(4 x 36)]

step 5 Simplify the expression to have common denominator:
= 20/36 - 27/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (20/1 - 27/1)
= 1/36 x (20 - 27)

step 7Simplify the above expression further:
= 1/36 x -7
= -7/36
5/9 - 3/4 = -7/36

Hence,
5/9 minus 3/4 as a fraction is -7/36.

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5/9 - 3/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 3/4

What to be found?
(5/9)-(3/4) = ?
Find what's the difference between 5/9 and 3/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 4), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (5 x 4) - (3 x 9)/(9 x 4)

step 3 Simplify and rewrite the fraction:
= (20 - 27)/36
5/9 - 3/4 = -7/36

Hence,
5/9 minus 3/4 in fraction is -7/36