8/9 - 3/2 as a fraction

Learn how to find what is 8/9 minus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 8/9 - 3/2 as a fraction and decimal.

Summary: 8/9 minus 3/2 = -11/18
Since both fractions have unequal denominators, 8/9 minus 3/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/9 and fraction 3/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 2. 18 is the LCM of 9 and 2. Multiplying the LCM 18 with the numerators and denominators of both fractions (8/9 x 18/18) - (3/2 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 8/9 is 16/18 and for 3/2 is 27/18. By simplifying this fraction subtraction 16/18 - 27/18, it becomes -11/18.

CALCULATION: 8/9 - 3/2 as a fraction
8/9 - 3/2 = (?)
8/9 - 3/2 = [(8 x 2) - (3 x 9)]/(9 x 2)
= (16 - 27)/18
= -11/18
8/9 - 3/2 = -11/18
8/9 minus 3/2 as a fraction is -11/18.

where
8/9 is a proper fraction as a minuend,
3/2 is a improper fraction as a subtrahend,
-11/18 is the difference between 8/9 and 3/2.

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8/9 minus 3/2 as a decimal
8/9 - 3/2 = -11/18
-11/18 = -0.6111
(8/9) - (3/2) as a decimal is -0.6111

where
-0.6111 is the difference between 8/9 and 3/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/2 from 8/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/9 minus 3/2.
1. LCM method
2. Cross multiplication method.

(8/9) - (3/2) using LCM Method:
What is 8/9 minus 3/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 3/2

What to be found?
(8/9) - (3/2) = ?
Find what's the difference between 8/9 and 3/2.

step 2 Compare the denominators of fractions 8/9 and 3/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/9 and 3/2 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 8/9 and 3/2:
The LCM of 9 and 2 is 18.

step 4 Write the fractions 8/9 and 3/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/9 - 3/2
= [(8 x 18)/(9 x 18)] - [(3 x 18)/(2 x 18)]

step 5 Simplify the expression to have common denominator:
= 16/18 - 27/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (16/1 - 27/1)
= 1/18 x (16 - 27)

step 7Simplify the above expression further:
= 1/18 x -11
= -11/18
8/9 - 3/2 = -11/18

Hence,
8/9 minus 3/2 as a fraction is -11/18.

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8/9 - 3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 3/2

What to be found?
(8/9)-(3/2) = ?
Find what's the difference between 8/9 and 3/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 2), 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 2) and rewrite the equation as like the below:
= (8 x 2) - (3 x 9)/(9 x 2)

step 3 Simplify and rewrite the fraction:
= (16 - 27)/18
8/9 - 3/2 = -11/18

Hence,
8/9 minus 3/2 in fraction is -11/18