11/6 - 10/11 as a fraction

Learn how to find what is 11/6 minus 10/11 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 - 10/11 as a fraction and decimal.

Summary: 11/6 minus 10/11 = 61/66
Since both fractions have unequal denominators, 11/6 minus 10/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 10/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 11. 66 is the LCM of 6 and 11. Multiplying the LCM 66 with the numerators and denominators of both fractions (11/6 x 66/66) - (10/11 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 121/66 and for 10/11 is 60/66. By simplifying this fraction subtraction 121/66 - 60/66, it becomes 61/66.

Pie Chart Representation: 11/6 - 10/11 = 61/66

CALCULATION: 11/6 - 10/11 as a fraction
11/6 - 10/11 = (?)
11/6 - 10/11 = [(11 x 11) - (10 x 6)]/(6 x 11)
= (121 - 60)/66
= 61/66
11/6 - 10/11 = 61/66
11/6 minus 10/11 as a fraction is 61/66.

where
11/6 is a improper fraction as a minuend,
10/11 is a proper fraction as a subtrahend,
61/66 is the difference between 11/6 and 10/11.

---

11/6 minus 10/11 as a decimal
11/6 - 10/11 = 61/66
61/66 = 0.9242
(11/6) - (10/11) as a decimal is 0.9242

where
0.9242 is the difference between 11/6 and 10/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 10/11 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 10/11.
1. LCM method
2. Cross multiplication method.

(11/6) - (10/11) using LCM Method:
What is 11/6 minus 10/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 10/11

What to be found?
(11/6) - (10/11) = ?
Find what's the difference between 11/6 and 10/11.

step 2 Compare the denominators of fractions 11/6 and 10/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/6 and 10/11 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 11/6 and 10/11:
The LCM of 6 and 11 is 66.

step 4 Write the fractions 11/6 and 10/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 - 10/11
= [(11 x 66)/(6 x 66)] - [(10 x 66)/(11 x 66)]

step 5 Simplify the expression to have common denominator:
= 121/66 - 60/66

step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (121/1 - 60/1)
= 1/66 x (121 - 60)

step 7Simplify the above expression further:
= 1/66 x 61
= 61/66
11/6 - 10/11 = 61/66

Hence,
11/6 minus 10/11 as a fraction is 61/66.

---

11/6 - 10/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 10/11

What to be found?
(11/6)-(10/11) = ?
Find what's the difference between 11/6 and 10/11.

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 (10 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 11) and rewrite the equation as like the below:
= (11 x 11) - (10 x 6)/(6 x 11)

step 3 Simplify and rewrite the fraction:
= (121 - 60)/66
11/6 - 10/11 = 61/66

Hence,
11/6 minus 10/11 in fraction is 61/66