6/5 - 11/6 as a fraction

Learn how to find what is 6/5 minus 11/6 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 - 11/6 as a fraction and decimal.

Summary: 6/5 minus 11/6 = -19/30
Since both fractions have unequal denominators, 6/5 minus 11/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 11/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 6. 30 is the LCM of 5 and 6. Multiplying the LCM 30 with the numerators and denominators of both fractions (6/5 x 30/30) - (11/6 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 36/30 and for 11/6 is 55/30. By simplifying this fraction subtraction 36/30 - 55/30, it becomes -19/30.

CALCULATION: 6/5 - 11/6 as a fraction
6/5 - 11/6 = (?)
6/5 - 11/6 = [(6 x 6) - (11 x 5)]/(5 x 6)
= (36 - 55)/30
= -19/30
6/5 - 11/6 = -19/30
6/5 minus 11/6 as a fraction is -19/30.

where
6/5 is a improper fraction as a minuend,
11/6 is a improper fraction as a subtrahend,
-19/30 is the difference between 6/5 and 11/6.

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6/5 minus 11/6 as a decimal
6/5 - 11/6 = -19/30
-19/30 = -0.6333
(6/5) - (11/6) as a decimal is -0.6333

where
-0.6333 is the difference between 6/5 and 11/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/6 from 6/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6/5 minus 11/6.
1. LCM method
2. Cross multiplication method.

(6/5) - (11/6) using LCM Method:
What is 6/5 minus 11/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 11/6

What to be found?
(6/5) - (11/6) = ?
Find what's the difference between 6/5 and 11/6.

step 2 Compare the denominators of fractions 6/5 and 11/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6/5 and 11/6 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 6/5 and 11/6:
The LCM of 5 and 6 is 30.

step 4 Write the fractions 6/5 and 11/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 - 11/6
= [(6 x 30)/(5 x 30)] - [(11 x 30)/(6 x 30)]

step 5 Simplify the expression to have common denominator:
= 36/30 - 55/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (36/1 - 55/1)
= 1/30 x (36 - 55)

step 7Simplify the above expression further:
= 1/30 x -19
= -19/30
6/5 - 11/6 = -19/30

Hence,
6/5 minus 11/6 as a fraction is -19/30.

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6/5 - 11/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 11/6

What to be found?
(6/5)-(11/6) = ?
Find what's the difference between 6/5 and 11/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 6), find the product of numerator of Fraction B and denominator of Fraction A (11 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 6) and rewrite the equation as like the below:
= (6 x 6) - (11 x 5)/(5 x 6)

step 3 Simplify and rewrite the fraction:
= (36 - 55)/30
6/5 - 11/6 = -19/30

Hence,
6/5 minus 11/6 in fraction is -19/30