15/19 - 11/18 as a fraction

Learn how to find what is 15/19 minus 11/18 in fraction form just in a few minutes. We have covered the easiest method to write 15/19 - 11/18 as a fraction and decimal.

Summary: 15/19 minus 11/18 = 61/342
Since both fractions have unequal denominators, 15/19 minus 11/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/19 and fraction 11/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 18. 342 is the LCM of 19 and 18. Multiplying the LCM 342 with the numerators and denominators of both fractions (15/19 x 342/342) - (11/18 x 342/342), and simplify further in order to have the common denominator. So the equivalent fraction for 15/19 is 270/342 and for 11/18 is 209/342. By simplifying this fraction subtraction 270/342 - 209/342, it becomes 61/342.

Pie Chart Representation: 15/19 - 11/18 = 61/342

CALCULATION: 15/19 - 11/18 as a fraction
15/19 - 11/18 = (?)
15/19 - 11/18 = [(15 x 18) - (11 x 19)]/(19 x 18)
= (270 - 209)/342
= 61/342
15/19 - 11/18 = 61/342
15/19 minus 11/18 as a fraction is 61/342.

where
15/19 is a proper fraction as a minuend,
11/18 is a proper fraction as a subtrahend,
61/342 is the difference between 15/19 and 11/18.

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15/19 minus 11/18 as a decimal
15/19 - 11/18 = 61/342
61/342 = 0.1784
(15/19) - (11/18) as a decimal is 0.1784

where
0.1784 is the difference between 15/19 and 11/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/18 from 15/19. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 15/19 minus 11/18.
1. LCM method
2. Cross multiplication method.

(15/19) - (11/18) using LCM Method:
What is 15/19 minus 11/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/19
Fraction B: 11/18

What to be found?
(15/19) - (11/18) = ?
Find what's the difference between 15/19 and 11/18.

step 2 Compare the denominators of fractions 15/19 and 11/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/19 and 11/18 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 15/19 and 11/18:
The LCM of 19 and 18 is 342.

step 4 Write the fractions 15/19 and 11/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/19 - 11/18
= [(15 x 342)/(19 x 342)] - [(11 x 342)/(18 x 342)]

step 5 Simplify the expression to have common denominator:
= 270/342 - 209/342

step 6 Take the common values out and rewrite the above expression like the below:
= 1/342 x (270/1 - 209/1)
= 1/342 x (270 - 209)

step 7Simplify the above expression further:
= 1/342 x 61
= 61/342
15/19 - 11/18 = 61/342

Hence,
15/19 minus 11/18 as a fraction is 61/342.

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15/19 - 11/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/19
Fraction B: 11/18

What to be found?
(15/19)-(11/18) = ?
Find what's the difference between 15/19 and 11/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 18), find the product of numerator of Fraction B and denominator of Fraction A (11 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 18) and rewrite the equation as like the below:
= (15 x 18) - (11 x 19)/(19 x 18)

step 3 Simplify and rewrite the fraction:
= (270 - 209)/342
15/19 - 11/18 = 61/342

Hence,
15/19 minus 11/18 in fraction is 61/342