11/6 - 5/4 as a fraction

Learn how to find what is 11/6 minus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 - 5/4 as a fraction and decimal.

Summary: 11/6 minus 5/4 = 7/12
Since both fractions have unequal denominators, 11/6 minus 5/4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 5/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 4. 12 is the LCM of 6 and 4. Multiplying the LCM 12 with the numerators and denominators of both fractions (11/6 x 12/12) - (5/4 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 22/12 and for 5/4 is 15/12. By simplifying this fraction subtraction 22/12 - 15/12, it becomes 7/12.

Pie Chart Representation: 11/6 - 5/4 = 7/12

CALCULATION: 11/6 - 5/4 as a fraction
11/6 - 5/4 = (?)
11/6 - 5/4 = [(11 x 4) - (5 x 6)]/(6 x 4)
= (44 - 30)/24
= 14/24
= (2 x 7)/(2 x 12)
= 7/12
11/6 - 5/4 = 7/12
11/6 minus 5/4 as a fraction is 7/12.

where
11/6 is a improper fraction as a minuend,
5/4 is a improper fraction as a subtrahend,
7/12 is the difference between 11/6 and 5/4.

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11/6 minus 5/4 as a decimal
11/6 - 5/4 = 7/12
7/12 = 0.5833
(11/6) - (5/4) as a decimal is 0.5833

where
0.5833 is the difference between 11/6 and 5/4.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/4 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 5/4.
1. LCM method
2. Cross multiplication method.

(11/6) - (5/4) using LCM Method:
What is 11/6 minus 5/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 5/4

What to be found?
(11/6) - (5/4) = ?
Find what's the difference between 11/6 and 5/4.

step 2 Compare the denominators of fractions 11/6 and 5/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/6 and 5/4 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 5/4:
The LCM of 6 and 4 is 12.

step 4 Write the fractions 11/6 and 5/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 - 5/4
= [(11 x 12)/(6 x 12)] - [(5 x 12)/(4 x 12)]

step 5 Simplify the expression to have common denominator:
= 22/12 - 15/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (22/1 - 15/1)
= 1/12 x (22 - 15)

step 7Simplify the above expression further:
= 1/12 x 7
= 7/12
11/6 - 5/4 = 7/12

Hence,
11/6 minus 5/4 as a fraction is 7/12.

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11/6 - 5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 5/4

What to be found?
(11/6)-(5/4) = ?
Find what's the difference between 11/6 and 5/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 4) and rewrite the equation as like the below:
= (11 x 4) - (5 x 6)/(6 x 4)

step 3 Simplify and rewrite the fraction:
= (44 - 30)/24
= 14/24
= 7/12
11/6 - 5/4 = 7/12

Hence,
11/6 minus 5/4 in fraction is 7/12