1/5 - 11/19 as a fraction

Learn how to find what is 1/5 minus 11/19 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 11/19 as a fraction and decimal.

Summary: 1/5 minus 11/19 = -36/95
Since both fractions have unequal denominators, 1/5 minus 11/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 11/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 19. 95 is the LCM of 5 and 19. Multiplying the LCM 95 with the numerators and denominators of both fractions (1/5 x 95/95) - (11/19 x 95/95), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 19/95 and for 11/19 is 55/95. By simplifying this fraction subtraction 19/95 - 55/95, it becomes -36/95.

CALCULATION: 1/5 - 11/19 as a fraction
1/5 - 11/19 = (?)
1/5 - 11/19 = [(1 x 19) - (11 x 5)]/(5 x 19)
= (19 - 55)/95
= -36/95
1/5 - 11/19 = -36/95
1/5 minus 11/19 as a fraction is -36/95.

where
1/5 is a proper fraction as a minuend,
11/19 is a proper fraction as a subtrahend,
-36/95 is the difference between 1/5 and 11/19.

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1/5 minus 11/19 as a decimal
1/5 - 11/19 = -36/95
-36/95 = -0.3789
(1/5) - (11/19) as a decimal is -0.3789

where
-0.3789 is the difference between 1/5 and 11/19.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/19 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 11/19.
1. LCM method
2. Cross multiplication method.

(1/5) - (11/19) using LCM Method:
What is 1/5 minus 11/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 11/19

What to be found?
(1/5) - (11/19) = ?
Find what's the difference between 1/5 and 11/19.

step 2 Compare the denominators of fractions 1/5 and 11/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 11/19 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 11/19:
The LCM of 5 and 19 is 95.

step 4 Write the fractions 1/5 and 11/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 11/19
= [(1 x 95)/(5 x 95)] - [(11 x 95)/(19 x 95)]

step 5 Simplify the expression to have common denominator:
= 19/95 - 55/95

step 6 Take the common values out and rewrite the above expression like the below:
= 1/95 x (19/1 - 55/1)
= 1/95 x (19 - 55)

step 7Simplify the above expression further:
= 1/95 x -36
= -36/95
1/5 - 11/19 = -36/95

Hence,
1/5 minus 11/19 as a fraction is -36/95.

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1/5 - 11/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 11/19

What to be found?
(1/5)-(11/19) = ?
Find what's the difference between 1/5 and 11/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 19), 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 19) and rewrite the equation as like the below:
= (1 x 19) - (11 x 5)/(5 x 19)

step 3 Simplify and rewrite the fraction:
= (19 - 55)/95
1/5 - 11/19 = -36/95

Hence,
1/5 minus 11/19 in fraction is -36/95