6/5 - 9/20 as a fraction

Learn how to find what is 6/5 minus 9/20 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 - 9/20 as a fraction and decimal.

Summary: 6/5 minus 9/20 = 3/4
Since both fractions have unequal denominators, 6/5 minus 9/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 9/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 20. 20 is the LCM of 5 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (6/5 x 20/20) - (9/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 24/20 and for 9/20 is 9/20. By simplifying this fraction subtraction 24/20 - 9/20, it becomes 15/20.

Pie Chart Representation: 6/5 - 9/20 = 3/4

CALCULATION: 6/5 - 9/20 as a fraction
6/5 - 9/20 = (?)
6/5 - 9/20 = [(6 x 20) - (9 x 5)]/(5 x 20)
= (120 - 45)/100
= 75/100
= (25 x 3)/(25 x 4)
= 3/4
6/5 - 9/20 = 3/4
6/5 minus 9/20 as a fraction is 3/4.

where
6/5 is a improper fraction as a minuend,
9/20 is a proper fraction as a subtrahend,
3/4 is the difference between 6/5 and 9/20.

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6/5 minus 9/20 as a decimal
6/5 - 9/20 = 3/4
3/4 = 0.75
(6/5) - (9/20) as a decimal is 0.75

where
0.75 is the difference between 6/5 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 6/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6/5 minus 9/20.
1. LCM method
2. Cross multiplication method.

(6/5) - (9/20) using LCM Method:
What is 6/5 minus 9/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 9/20

What to be found?
(6/5) - (9/20) = ?
Find what's the difference between 6/5 and 9/20.

step 2 Compare the denominators of fractions 6/5 and 9/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6/5 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 6/5 and 9/20:
The LCM of 5 and 20 is 20.

step 4 Write the fractions 6/5 and 9/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 - 9/20
= [(6 x 20)/(5 x 20)] - [(9 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 24/20 - 9/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (24/1 - 9/1)
= 1/20 x (24 - 9)

step 7Simplify the above expression further:
= 1/20 x 15
= 15/20
= 3/4
6/5 - 9/20 = 3/4

Hence,
6/5 minus 9/20 as a fraction is 3/4.

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6/5 - 9/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 9/20

What to be found?
(6/5)-(9/20) = ?
Find what's the difference between 6/5 and 9/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 20), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 20) and rewrite the equation as like the below:
= (6 x 20) - (9 x 5)/(5 x 20)

step 3 Simplify and rewrite the fraction:
= (120 - 45)/100
= 75/100
= 3/4
6/5 - 9/20 = 3/4

Hence,
6/5 minus 9/20 in fraction is 3/4