11/6 - 18/7 as a fraction

Learn how to find what is 11/6 minus 18/7 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 - 18/7 as a fraction and decimal.

Summary: 11/6 minus 18/7 = -31/42
Since both fractions have unequal denominators, 11/6 minus 18/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 18/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 7. 42 is the LCM of 6 and 7. Multiplying the LCM 42 with the numerators and denominators of both fractions (11/6 x 42/42) - (18/7 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 77/42 and for 18/7 is 108/42. By simplifying this fraction subtraction 77/42 - 108/42, it becomes -31/42.

CALCULATION: 11/6 - 18/7 as a fraction
11/6 - 18/7 = (?)
11/6 - 18/7 = [(11 x 7) - (18 x 6)]/(6 x 7)
= (77 - 108)/42
= -31/42
11/6 - 18/7 = -31/42
11/6 minus 18/7 as a fraction is -31/42.

where
11/6 is a improper fraction as a minuend,
18/7 is a improper fraction as a subtrahend,
-31/42 is the difference between 11/6 and 18/7.

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11/6 minus 18/7 as a decimal
11/6 - 18/7 = -31/42
-31/42 = -0.7381
(11/6) - (18/7) as a decimal is -0.7381

where
-0.7381 is the difference between 11/6 and 18/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 18/7 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 18/7.
1. LCM method
2. Cross multiplication method.

(11/6) - (18/7) using LCM Method:
What is 11/6 minus 18/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 18/7

What to be found?
(11/6) - (18/7) = ?
Find what's the difference between 11/6 and 18/7.

step 2 Compare the denominators of fractions 11/6 and 18/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 11/6 and 18/7 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 18/7:
The LCM of 6 and 7 is 42.

step 4 Write the fractions 11/6 and 18/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 - 18/7
= [(11 x 42)/(6 x 42)] - [(18 x 42)/(7 x 42)]

step 5 Simplify the expression to have common denominator:
= 77/42 - 108/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (77/1 - 108/1)
= 1/42 x (77 - 108)

step 7Simplify the above expression further:
= 1/42 x -31
= -31/42
11/6 - 18/7 = -31/42

Hence,
11/6 minus 18/7 as a fraction is -31/42.

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11/6 - 18/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 18/7

What to be found?
(11/6)-(18/7) = ?
Find what's the difference between 11/6 and 18/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 7), find the product of numerator of Fraction B and denominator of Fraction A (18 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 7) and rewrite the equation as like the below:
= (11 x 7) - (18 x 6)/(6 x 7)

step 3 Simplify and rewrite the fraction:
= (77 - 108)/42
11/6 - 18/7 = -31/42

Hence,
11/6 minus 18/7 in fraction is -31/42