5/4 - 9/20 as a fraction

Learn how to find what is 5/4 minus 9/20 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 - 9/20 as a fraction and decimal.

Summary: 5/4 minus 9/20 = 4/5
Since both fractions have unequal denominators, 5/4 minus 9/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 9/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 20. 20 is the LCM of 4 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (5/4 x 20/20) - (9/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 25/20 and for 9/20 is 9/20. By simplifying this fraction subtraction 25/20 - 9/20, it becomes 16/20.

Pie Chart Representation: 5/4 - 9/20 = 4/5

CALCULATION: 5/4 - 9/20 as a fraction
5/4 - 9/20 = (?)
5/4 - 9/20 = [(5 x 20) - (9 x 4)]/(4 x 20)
= (100 - 36)/80
= 64/80
= (16 x 4)/(16 x 5)
= 4/5
5/4 - 9/20 = 4/5
5/4 minus 9/20 as a fraction is 4/5.

where
5/4 is a improper fraction as a minuend,
9/20 is a proper fraction as a subtrahend,
4/5 is the difference between 5/4 and 9/20.

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5/4 minus 9/20 as a decimal
5/4 - 9/20 = 4/5
4/5 = 0.8
(5/4) - (9/20) as a decimal is 0.8

where
0.8 is the difference between 5/4 and 9/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/20 from 5/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/4 minus 9/20.
1. LCM method
2. Cross multiplication method.

(5/4) - (9/20) using LCM Method:
What is 5/4 minus 9/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 9/20

What to be found?
(5/4) - (9/20) = ?
Find what's the difference between 5/4 and 9/20.

step 2 Compare the denominators of fractions 5/4 and 9/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/4 and 9/20 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 5/4 and 9/20:
The LCM of 4 and 20 is 20.

step 4 Write the fractions 5/4 and 9/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 - 9/20
= [(5 x 20)/(4 x 20)] - [(9 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 25/20 - 9/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (25/1 - 9/1)
= 1/20 x (25 - 9)

step 7Simplify the above expression further:
= 1/20 x 16
= 16/20
= 4/5
5/4 - 9/20 = 4/5

Hence,
5/4 minus 9/20 as a fraction is 4/5.

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5/4 - 9/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 9/20

What to be found?
(5/4)-(9/20) = ?
Find what's the difference between 5/4 and 9/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 20), find the product of numerator of Fraction B and denominator of Fraction A (9 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 20) and rewrite the equation as like the below:
= (5 x 20) - (9 x 4)/(4 x 20)

step 3 Simplify and rewrite the fraction:
= (100 - 36)/80
= 64/80
= 4/5
5/4 - 9/20 = 4/5

Hence,
5/4 minus 9/20 in fraction is 4/5