8/9 - 3/20 as a fraction

Learn how to find what is 8/9 minus 3/20 in fraction form just in a few minutes. We have covered the easiest method to write 8/9 - 3/20 as a fraction and decimal.

Summary: 8/9 minus 3/20 = 133/180
Since both fractions have unequal denominators, 8/9 minus 3/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/9 and fraction 3/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 20. 180 is the LCM of 9 and 20. Multiplying the LCM 180 with the numerators and denominators of both fractions (8/9 x 180/180) - (3/20 x 180/180), and simplify further in order to have the common denominator. So the equivalent fraction for 8/9 is 160/180 and for 3/20 is 27/180. By simplifying this fraction subtraction 160/180 - 27/180, it becomes 133/180.

Pie Chart Representation: 8/9 - 3/20 = 133/180

CALCULATION: 8/9 - 3/20 as a fraction
8/9 - 3/20 = (?)
8/9 - 3/20 = [(8 x 20) - (3 x 9)]/(9 x 20)
= (160 - 27)/180
= 133/180
8/9 - 3/20 = 133/180
8/9 minus 3/20 as a fraction is 133/180.

where
8/9 is a proper fraction as a minuend,
3/20 is a proper fraction as a subtrahend,
133/180 is the difference between 8/9 and 3/20.

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8/9 minus 3/20 as a decimal
8/9 - 3/20 = 133/180
133/180 = 0.7389
(8/9) - (3/20) as a decimal is 0.7389

where
0.7389 is the difference between 8/9 and 3/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/20 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 3/20.
1. LCM method
2. Cross multiplication method.

(8/9) - (3/20) using LCM Method:
What is 8/9 minus 3/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 3/20

What to be found?
(8/9) - (3/20) = ?
Find what's the difference between 8/9 and 3/20.

step 2 Compare the denominators of fractions 8/9 and 3/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/9 and 3/20 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 3/20:
The LCM of 9 and 20 is 180.

step 4 Write the fractions 8/9 and 3/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/9 - 3/20
= [(8 x 180)/(9 x 180)] - [(3 x 180)/(20 x 180)]

step 5 Simplify the expression to have common denominator:
= 160/180 - 27/180

step 6 Take the common values out and rewrite the above expression like the below:
= 1/180 x (160/1 - 27/1)
= 1/180 x (160 - 27)

step 7Simplify the above expression further:
= 1/180 x 133
= 133/180
8/9 - 3/20 = 133/180

Hence,
8/9 minus 3/20 as a fraction is 133/180.

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8/9 - 3/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 3/20

What to be found?
(8/9)-(3/20) = ?
Find what's the difference between 8/9 and 3/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 20), 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 20) and rewrite the equation as like the below:
= (8 x 20) - (3 x 9)/(9 x 20)

step 3 Simplify and rewrite the fraction:
= (160 - 27)/180
8/9 - 3/20 = 133/180

Hence,
8/9 minus 3/20 in fraction is 133/180