2/3 - 11/14 as a fraction

Learn how to find what is 2/3 minus 11/14 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 11/14 as a fraction and decimal.

Summary: 2/3 minus 11/14 = -5/42
Since both fractions have unequal denominators, 2/3 minus 11/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 11/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 14. 42 is the LCM of 3 and 14. Multiplying the LCM 42 with the numerators and denominators of both fractions (2/3 x 42/42) - (11/14 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 28/42 and for 11/14 is 33/42. By simplifying this fraction subtraction 28/42 - 33/42, it becomes -5/42.

CALCULATION: 2/3 - 11/14 as a fraction
2/3 - 11/14 = (?)
2/3 - 11/14 = [(2 x 14) - (11 x 3)]/(3 x 14)
= (28 - 33)/42
= -5/42
2/3 - 11/14 = -5/42
2/3 minus 11/14 as a fraction is -5/42.

where
2/3 is a proper fraction as a minuend,
11/14 is a proper fraction as a subtrahend,
-5/42 is the difference between 2/3 and 11/14.

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2/3 minus 11/14 as a decimal
2/3 - 11/14 = -5/42
-5/42 = -0.119
(2/3) - (11/14) as a decimal is -0.119

where
-0.119 is the difference between 2/3 and 11/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/14 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 11/14.
1. LCM method
2. Cross multiplication method.

(2/3) - (11/14) using LCM Method:
What is 2/3 minus 11/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 11/14

What to be found?
(2/3) - (11/14) = ?
Find what's the difference between 2/3 and 11/14.

step 2 Compare the denominators of fractions 2/3 and 11/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 11/14 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 2/3 and 11/14:
The LCM of 3 and 14 is 42.

step 4 Write the fractions 2/3 and 11/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 11/14
= [(2 x 42)/(3 x 42)] - [(11 x 42)/(14 x 42)]

step 5 Simplify the expression to have common denominator:
= 28/42 - 33/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (28/1 - 33/1)
= 1/42 x (28 - 33)

step 7Simplify the above expression further:
= 1/42 x -5
= -5/42
2/3 - 11/14 = -5/42

Hence,
2/3 minus 11/14 as a fraction is -5/42.

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2/3 - 11/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 11/14

What to be found?
(2/3)-(11/14) = ?
Find what's the difference between 2/3 and 11/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 14), find the product of numerator of Fraction B and denominator of Fraction A (11 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 14) and rewrite the equation as like the below:
= (2 x 14) - (11 x 3)/(3 x 14)

step 3 Simplify and rewrite the fraction:
= (28 - 33)/42
2/3 - 11/14 = -5/42

Hence,
2/3 minus 11/14 in fraction is -5/42