10/19 - 13/15 as a fraction

Learn how to find what is 10/19 minus 13/15 in fraction form just in a few minutes. We have covered the easiest method to write 10/19 - 13/15 as a fraction and decimal.

Summary: 10/19 minus 13/15 = -97/285
Since both fractions have unequal denominators, 10/19 minus 13/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/19 and fraction 13/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 15. 285 is the LCM of 19 and 15. Multiplying the LCM 285 with the numerators and denominators of both fractions (10/19 x 285/285) - (13/15 x 285/285), and simplify further in order to have the common denominator. So the equivalent fraction for 10/19 is 150/285 and for 13/15 is 247/285. By simplifying this fraction subtraction 150/285 - 247/285, it becomes -97/285.

CALCULATION: 10/19 - 13/15 as a fraction
10/19 - 13/15 = (?)
10/19 - 13/15 = [(10 x 15) - (13 x 19)]/(19 x 15)
= (150 - 247)/285
= -97/285
10/19 - 13/15 = -97/285
10/19 minus 13/15 as a fraction is -97/285.

where
10/19 is a proper fraction as a minuend,
13/15 is a proper fraction as a subtrahend,
-97/285 is the difference between 10/19 and 13/15.

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10/19 minus 13/15 as a decimal
10/19 - 13/15 = -97/285
-97/285 = -0.3404
(10/19) - (13/15) as a decimal is -0.3404

where
-0.3404 is the difference between 10/19 and 13/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/15 from 10/19. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/19 minus 13/15.
1. LCM method
2. Cross multiplication method.

(10/19) - (13/15) using LCM Method:
What is 10/19 minus 13/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/19
Fraction B: 13/15

What to be found?
(10/19) - (13/15) = ?
Find what's the difference between 10/19 and 13/15.

step 2 Compare the denominators of fractions 10/19 and 13/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/19 and 13/15 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 10/19 and 13/15:
The LCM of 19 and 15 is 285.

step 4 Write the fractions 10/19 and 13/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/19 - 13/15
= [(10 x 285)/(19 x 285)] - [(13 x 285)/(15 x 285)]

step 5 Simplify the expression to have common denominator:
= 150/285 - 247/285

step 6 Take the common values out and rewrite the above expression like the below:
= 1/285 x (150/1 - 247/1)
= 1/285 x (150 - 247)

step 7Simplify the above expression further:
= 1/285 x -97
= -97/285
10/19 - 13/15 = -97/285

Hence,
10/19 minus 13/15 as a fraction is -97/285.

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10/19 - 13/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/19
Fraction B: 13/15

What to be found?
(10/19)-(13/15) = ?
Find what's the difference between 10/19 and 13/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 15), find the product of numerator of Fraction B and denominator of Fraction A (13 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 15) and rewrite the equation as like the below:
= (10 x 15) - (13 x 19)/(19 x 15)

step 3 Simplify and rewrite the fraction:
= (150 - 247)/285
10/19 - 13/15 = -97/285

Hence,
10/19 minus 13/15 in fraction is -97/285