4/9 - 7/12 as a fraction

Learn how to find what is 4/9 minus 7/12 in fraction form just in a few minutes. We have covered the easiest method to write 4/9 - 7/12 as a fraction and decimal.

Summary: 4/9 minus 7/12 = -5/36
Since both fractions have unequal denominators, 4/9 minus 7/12 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/9 and fraction 7/12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 12. 36 is the LCM of 9 and 12. Multiplying the LCM 36 with the numerators and denominators of both fractions (4/9 x 36/36) - (7/12 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 4/9 is 16/36 and for 7/12 is 21/36. By simplifying this fraction subtraction 16/36 - 21/36, it becomes -5/36.

CALCULATION: 4/9 - 7/12 as a fraction
4/9 - 7/12 = (?)
4/9 - 7/12 = [(4 x 12) - (7 x 9)]/(9 x 12)
= (48 - 63)/108
= -15/108
= (3 x -5)/(3 x 36)
= -5/36
4/9 - 7/12 = -5/36
4/9 minus 7/12 as a fraction is -5/36.

where
4/9 is a proper fraction as a minuend,
7/12 is a proper fraction as a subtrahend,
-5/36 is the difference between 4/9 and 7/12.

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4/9 minus 7/12 as a decimal
4/9 - 7/12 = -5/36
-5/36 = -0.1389
(4/9) - (7/12) as a decimal is -0.1389

where
-0.1389 is the difference between 4/9 and 7/12.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/12 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 7/12.
1. LCM method
2. Cross multiplication method.

(4/9) - (7/12) using LCM Method:
What is 4/9 minus 7/12 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 7/12

What to be found?
(4/9) - (7/12) = ?
Find what's the difference between 4/9 and 7/12.

step 2 Compare the denominators of fractions 4/9 and 7/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/9 and 7/12 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 7/12:
The LCM of 9 and 12 is 36.

step 4 Write the fractions 4/9 and 7/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/9 - 7/12
= [(4 x 36)/(9 x 36)] - [(7 x 36)/(12 x 36)]

step 5 Simplify the expression to have common denominator:
= 16/36 - 21/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (16/1 - 21/1)
= 1/36 x (16 - 21)

step 7Simplify the above expression further:
= 1/36 x -5
= -5/36
4/9 - 7/12 = -5/36

Hence,
4/9 minus 7/12 as a fraction is -5/36.

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4/9 - 7/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 7/12

What to be found?
(4/9)-(7/12) = ?
Find what's the difference between 4/9 and 7/12.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 12), find the product of numerator of Fraction B and denominator of Fraction A (7 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 12) and rewrite the equation as like the below:
= (4 x 12) - (7 x 9)/(9 x 12)

step 3 Simplify and rewrite the fraction:
= (48 - 63)/108
= -15/108
= -5/36
4/9 - 7/12 = -5/36

Hence,
4/9 minus 7/12 in fraction is -5/36