11/2 - 2/11 as a fraction

Learn how to find what is 11/2 minus 2/11 in fraction form just in a few minutes. We have covered the easiest method to write 11/2 - 2/11 as a fraction and decimal.

Summary: 11/2 minus 2/11 = 117/22
Since both fractions have unequal denominators, 11/2 minus 2/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 2/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 11. 22 is the LCM of 2 and 11. Multiplying the LCM 22 with the numerators and denominators of both fractions (11/2 x 22/22) - (2/11 x 22/22), and simplify further in order to have the common denominator. So the equivalent fraction for 11/2 is 121/22 and for 2/11 is 4/22. By simplifying this fraction subtraction 121/22 - 4/22, it becomes 117/22.

CALCULATION: 11/2 - 2/11 as a fraction
11/2 - 2/11 = (?)
11/2 - 2/11 = [(11 x 11) - (2 x 2)]/(2 x 11)
= (121 - 4)/22
= 117/22
11/2 - 2/11 = 117/22
11/2 minus 2/11 as a fraction is 117/22.

where
11/2 is a improper fraction as a minuend,
2/11 is a proper fraction as a subtrahend,
117/22 is the difference between 11/2 and 2/11.

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11/2 minus 2/11 as a decimal
11/2 - 2/11 = 117/22
117/22 = 5.3182
(11/2) - (2/11) as a decimal is 5.3182

where
5.3182 is the difference between 11/2 and 2/11.

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

(11/2) - (2/11) using LCM Method:
What is 11/2 minus 2/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 2/11

What to be found?
(11/2) - (2/11) = ?
Find what's the difference between 11/2 and 2/11.

step 2 Compare the denominators of fractions 11/2 and 2/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/2 and 2/11 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 11/2 and 2/11:
The LCM of 2 and 11 is 22.

step 4 Write the fractions 11/2 and 2/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/2 - 2/11
= [(11 x 22)/(2 x 22)] - [(2 x 22)/(11 x 22)]

step 5 Simplify the expression to have common denominator:
= 121/22 - 4/22

step 6 Take the common values out and rewrite the above expression like the below:
= 1/22 x (121/1 - 4/1)
= 1/22 x (121 - 4)

step 7Simplify the above expression further:
= 1/22 x 117
= 117/22
11/2 - 2/11 = 117/22

Hence,
11/2 minus 2/11 as a fraction is 117/22.

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11/2 - 2/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 2/11

What to be found?
(11/2)-(2/11) = ?
Find what's the difference between 11/2 and 2/11.

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

step 3 Simplify and rewrite the fraction:
= (121 - 4)/22
11/2 - 2/11 = 117/22

Hence,
11/2 minus 2/11 in fraction is 117/22