1/5 - 18/11 as a fraction

Learn how to find what is 1/5 minus 18/11 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 18/11 as a fraction and decimal.

Summary: 1/5 minus 18/11 = -79/55
Since both fractions have unequal denominators, 1/5 minus 18/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 18/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 11. 55 is the LCM of 5 and 11. Multiplying the LCM 55 with the numerators and denominators of both fractions (1/5 x 55/55) - (18/11 x 55/55), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 11/55 and for 18/11 is 90/55. By simplifying this fraction subtraction 11/55 - 90/55, it becomes -79/55.

CALCULATION: 1/5 - 18/11 as a fraction
1/5 - 18/11 = (?)
1/5 - 18/11 = [(1 x 11) - (18 x 5)]/(5 x 11)
= (11 - 90)/55
= -79/55
1/5 - 18/11 = -79/55
1/5 minus 18/11 as a fraction is -79/55.

where
1/5 is a proper fraction as a minuend,
18/11 is a improper fraction as a subtrahend,
-79/55 is the difference between 1/5 and 18/11.

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1/5 minus 18/11 as a decimal
1/5 - 18/11 = -79/55
-79/55 = -1.4364
(1/5) - (18/11) as a decimal is -1.4364

where
-1.4364 is the difference between 1/5 and 18/11.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 18/11 from 1/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/5 minus 18/11.
1. LCM method
2. Cross multiplication method.

(1/5) - (18/11) using LCM Method:
What is 1/5 minus 18/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 18/11

What to be found?
(1/5) - (18/11) = ?
Find what's the difference between 1/5 and 18/11.

step 2 Compare the denominators of fractions 1/5 and 18/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 18/11 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 1/5 and 18/11:
The LCM of 5 and 11 is 55.

step 4 Write the fractions 1/5 and 18/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 18/11
= [(1 x 55)/(5 x 55)] - [(18 x 55)/(11 x 55)]

step 5 Simplify the expression to have common denominator:
= 11/55 - 90/55

step 6 Take the common values out and rewrite the above expression like the below:
= 1/55 x (11/1 - 90/1)
= 1/55 x (11 - 90)

step 7Simplify the above expression further:
= 1/55 x -79
= -79/55
1/5 - 18/11 = -79/55

Hence,
1/5 minus 18/11 as a fraction is -79/55.

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1/5 - 18/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 18/11

What to be found?
(1/5)-(18/11) = ?
Find what's the difference between 1/5 and 18/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 11), find the product of numerator of Fraction B and denominator of Fraction A (18 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 11) and rewrite the equation as like the below:
= (1 x 11) - (18 x 5)/(5 x 11)

step 3 Simplify and rewrite the fraction:
= (11 - 90)/55
1/5 - 18/11 = -79/55

Hence,
1/5 minus 18/11 in fraction is -79/55