11/9 - 5/6 as a fraction

Learn how to find what is 11/9 minus 5/6 in fraction form just in a few minutes. We have covered the easiest method to write 11/9 - 5/6 as a fraction and decimal.

Summary: 11/9 minus 5/6 = 7/18
Since both fractions have unequal denominators, 11/9 minus 5/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/9 and fraction 5/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 6. 18 is the LCM of 9 and 6. Multiplying the LCM 18 with the numerators and denominators of both fractions (11/9 x 18/18) - (5/6 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 11/9 is 22/18 and for 5/6 is 15/18. By simplifying this fraction subtraction 22/18 - 15/18, it becomes 7/18.

Pie Chart Representation: 11/9 - 5/6 = 7/18

CALCULATION: 11/9 - 5/6 as a fraction
11/9 - 5/6 = (?)
11/9 - 5/6 = [(11 x 6) - (5 x 9)]/(9 x 6)
= (66 - 45)/54
= 21/54
= (3 x 7)/(3 x 18)
= 7/18
11/9 - 5/6 = 7/18
11/9 minus 5/6 as a fraction is 7/18.

where
11/9 is a improper fraction as a minuend,
5/6 is a proper fraction as a subtrahend,
7/18 is the difference between 11/9 and 5/6.

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11/9 minus 5/6 as a decimal
11/9 - 5/6 = 7/18
7/18 = 0.3889
(11/9) - (5/6) as a decimal is 0.3889

where
0.3889 is the difference between 11/9 and 5/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/6 from 11/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 11/9 minus 5/6.
1. LCM method
2. Cross multiplication method.

(11/9) - (5/6) using LCM Method:
What is 11/9 minus 5/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 5/6

What to be found?
(11/9) - (5/6) = ?
Find what's the difference between 11/9 and 5/6.

step 2 Compare the denominators of fractions 11/9 and 5/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/9 and 5/6 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 11/9 and 5/6:
The LCM of 9 and 6 is 18.

step 4 Write the fractions 11/9 and 5/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/9 - 5/6
= [(11 x 18)/(9 x 18)] - [(5 x 18)/(6 x 18)]

step 5 Simplify the expression to have common denominator:
= 22/18 - 15/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (22/1 - 15/1)
= 1/18 x (22 - 15)

step 7Simplify the above expression further:
= 1/18 x 7
= 7/18
11/9 - 5/6 = 7/18

Hence,
11/9 minus 5/6 as a fraction is 7/18.

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11/9 - 5/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 5/6

What to be found?
(11/9)-(5/6) = ?
Find what's the difference between 11/9 and 5/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 6), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
= (11 x 6) - (5 x 9)/(9 x 6)

step 3 Simplify and rewrite the fraction:
= (66 - 45)/54
= 21/54
= 7/18
11/9 - 5/6 = 7/18

Hence,
11/9 minus 5/6 in fraction is 7/18