15/11 - 15/19 as a fraction

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

Summary: 15/11 minus 15/19 = 120/209
Since both fractions have unequal denominators, 15/11 minus 15/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/11 and fraction 15/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 11 and 19. 209 is the LCM of 11 and 19. Multiplying the LCM 209 with the numerators and denominators of both fractions (15/11 x 209/209) - (15/19 x 209/209), and simplify further in order to have the common denominator. So the equivalent fraction for 15/11 is 285/209 and for 15/19 is 165/209. By simplifying this fraction subtraction 285/209 - 165/209, it becomes 120/209.

Pie Chart Representation: 15/11 - 15/19 = 120/209

CALCULATION: 15/11 - 15/19 as a fraction
15/11 - 15/19 = (?)
15/11 - 15/19 = [(15 x 19) - (15 x 11)]/(11 x 19)
= (285 - 165)/209
= 120/209
15/11 - 15/19 = 120/209
15/11 minus 15/19 as a fraction is 120/209.

where
15/11 is a improper fraction as a minuend,
15/19 is a proper fraction as a subtrahend,
120/209 is the difference between 15/11 and 15/19.

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15/11 minus 15/19 as a decimal
15/11 - 15/19 = 120/209
120/209 = 0.5742
(15/11) - (15/19) as a decimal is 0.5742

where
0.5742 is the difference between 15/11 and 15/19.

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

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

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

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

step 2 Compare the denominators of fractions 15/11 and 15/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/11 and 15/19 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 15/11 and 15/19:
The LCM of 11 and 19 is 209.

step 4 Write the fractions 15/11 and 15/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/11 - 15/19
= [(15 x 209)/(11 x 209)] - [(15 x 209)/(19 x 209)]

step 5 Simplify the expression to have common denominator:
= 285/209 - 165/209

step 6 Take the common values out and rewrite the above expression like the below:
= 1/209 x (285/1 - 165/1)
= 1/209 x (285 - 165)

step 7Simplify the above expression further:
= 1/209 x 120
= 120/209
15/11 - 15/19 = 120/209

Hence,
15/11 minus 15/19 as a fraction is 120/209.

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

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

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

step 3 Simplify and rewrite the fraction:
= (285 - 165)/209
15/11 - 15/19 = 120/209

Hence,
15/11 minus 15/19 in fraction is 120/209