3/2 - 8/9 as a fraction

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

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

Pie Chart Representation: 3/2 - 8/9 = 11/18

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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