11/6 - 2/3 as a fraction

Learn how to find what is 11/6 minus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 - 2/3 as a fraction and decimal.

Summary: 11/6 minus 2/3 = 7/6
Since both fractions have unequal denominators, 11/6 minus 2/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 2/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 3. 6 is the LCM of 6 and 3. Multiplying the LCM 6 with the numerators and denominators of both fractions (11/6 x 6/6) - (2/3 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 11/6 and for 2/3 is 4/6. By simplifying this fraction subtraction 11/6 - 4/6, it becomes 7/6.

CALCULATION: 11/6 - 2/3 as a fraction
11/6 - 2/3 = (?)
11/6 - 2/3 = [(11 x 3) - (2 x 6)]/(6 x 3)
= (33 - 12)/18
= 21/18
= (3 x 7)/(3 x 6)
= 7/6
11/6 - 2/3 = 7/6
11/6 minus 2/3 as a fraction is 7/6.

where
11/6 is a improper fraction as a minuend,
2/3 is a proper fraction as a subtrahend,
7/6 is the difference between 11/6 and 2/3.

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11/6 minus 2/3 as a decimal
11/6 - 2/3 = 7/6
7/6 = 1.1667
(11/6) - (2/3) as a decimal is 1.1667

where
1.1667 is the difference between 11/6 and 2/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/3 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 2/3.
1. LCM method
2. Cross multiplication method.

(11/6) - (2/3) using LCM Method:
What is 11/6 minus 2/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 2/3

What to be found?
(11/6) - (2/3) = ?
Find what's the difference between 11/6 and 2/3.

step 2 Compare the denominators of fractions 11/6 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/6 and 2/3 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 2/3:
The LCM of 6 and 3 is 6.

step 4 Write the fractions 11/6 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 - 2/3
= [(11 x 6)/(6 x 6)] - [(2 x 6)/(3 x 6)]

step 5 Simplify the expression to have common denominator:
= 11/6 - 4/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (11/1 - 4/1)
= 1/6 x (11 - 4)

step 7Simplify the above expression further:
= 1/6 x 7
= 7/6
11/6 - 2/3 = 7/6

Hence,
11/6 minus 2/3 as a fraction is 7/6.

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11/6 - 2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 2/3

What to be found?
(11/6)-(2/3) = ?
Find what's the difference between 11/6 and 2/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 3) and rewrite the equation as like the below:
= (11 x 3) - (2 x 6)/(6 x 3)

step 3 Simplify and rewrite the fraction:
= (33 - 12)/18
= 21/18
= 7/6
11/6 - 2/3 = 7/6

Hence,
11/6 minus 2/3 in fraction is 7/6