11/6 - 13/20 as a fraction

Learn how to find what is 11/6 minus 13/20 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 - 13/20 as a fraction and decimal.

Summary: 11/6 minus 13/20 = 71/60
Since both fractions have unequal denominators, 11/6 minus 13/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 13/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 20. 60 is the LCM of 6 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (11/6 x 60/60) - (13/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 110/60 and for 13/20 is 39/60. By simplifying this fraction subtraction 110/60 - 39/60, it becomes 71/60.

CALCULATION: 11/6 - 13/20 as a fraction
11/6 - 13/20 = (?)
11/6 - 13/20 = [(11 x 20) - (13 x 6)]/(6 x 20)
= (220 - 78)/120
= 142/120
= (2 x 71)/(2 x 60)
= 71/60
11/6 - 13/20 = 71/60
11/6 minus 13/20 as a fraction is 71/60.

where
11/6 is a improper fraction as a minuend,
13/20 is a proper fraction as a subtrahend,
71/60 is the difference between 11/6 and 13/20.

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11/6 minus 13/20 as a decimal
11/6 - 13/20 = 71/60
71/60 = 1.1833
(11/6) - (13/20) as a decimal is 1.1833

where
1.1833 is the difference between 11/6 and 13/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/20 from 11/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/6 minus 13/20.
1. LCM method
2. Cross multiplication method.

(11/6) - (13/20) using LCM Method:
What is 11/6 minus 13/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 13/20

What to be found?
(11/6) - (13/20) = ?
Find what's the difference between 11/6 and 13/20.

step 2 Compare the denominators of fractions 11/6 and 13/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/6 and 13/20 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 11/6 and 13/20:
The LCM of 6 and 20 is 60.

step 4 Write the fractions 11/6 and 13/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 - 13/20
= [(11 x 60)/(6 x 60)] - [(13 x 60)/(20 x 60)]

step 5 Simplify the expression to have common denominator:
= 110/60 - 39/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (110/1 - 39/1)
= 1/60 x (110 - 39)

step 7Simplify the above expression further:
= 1/60 x 71
= 71/60
11/6 - 13/20 = 71/60

Hence,
11/6 minus 13/20 as a fraction is 71/60.

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11/6 - 13/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 13/20

What to be found?
(11/6)-(13/20) = ?
Find what's the difference between 11/6 and 13/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 20), find the product of numerator of Fraction B and denominator of Fraction A (13 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 20) and rewrite the equation as like the below:
= (11 x 20) - (13 x 6)/(6 x 20)

step 3 Simplify and rewrite the fraction:
= (220 - 78)/120
= 142/120
= 71/60
11/6 - 13/20 = 71/60

Hence,
11/6 minus 13/20 in fraction is 71/60