15/11 - 5/13 as a fraction

Learn how to find what is 15/11 minus 5/13 in fraction form just in a few minutes. We have covered the easiest method to write 15/11 - 5/13 as a fraction and decimal.

Summary: 15/11 minus 5/13 = 140/143
Since both fractions have unequal denominators, 15/11 minus 5/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/11 and fraction 5/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 11 and 13. 143 is the LCM of 11 and 13. Multiplying the LCM 143 with the numerators and denominators of both fractions (15/11 x 143/143) - (5/13 x 143/143), and simplify further in order to have the common denominator. So the equivalent fraction for 15/11 is 195/143 and for 5/13 is 55/143. By simplifying this fraction subtraction 195/143 - 55/143, it becomes 140/143.

Pie Chart Representation: 15/11 - 5/13 = 140/143

CALCULATION: 15/11 - 5/13 as a fraction
15/11 - 5/13 = (?)
15/11 - 5/13 = [(15 x 13) - (5 x 11)]/(11 x 13)
= (195 - 55)/143
= 140/143
15/11 - 5/13 = 140/143
15/11 minus 5/13 as a fraction is 140/143.

where
15/11 is a improper fraction as a minuend,
5/13 is a proper fraction as a subtrahend,
140/143 is the difference between 15/11 and 5/13.

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15/11 minus 5/13 as a decimal
15/11 - 5/13 = 140/143
140/143 = 0.979
(15/11) - (5/13) as a decimal is 0.979

where
0.979 is the difference between 15/11 and 5/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/13 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 5/13.
1. LCM method
2. Cross multiplication method.

(15/11) - (5/13) using LCM Method:
What is 15/11 minus 5/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/11
Fraction B: 5/13

What to be found?
(15/11) - (5/13) = ?
Find what's the difference between 15/11 and 5/13.

step 2 Compare the denominators of fractions 15/11 and 5/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/11 and 5/13 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 5/13:
The LCM of 11 and 13 is 143.

step 4 Write the fractions 15/11 and 5/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/11 - 5/13
= [(15 x 143)/(11 x 143)] - [(5 x 143)/(13 x 143)]

step 5 Simplify the expression to have common denominator:
= 195/143 - 55/143

step 6 Take the common values out and rewrite the above expression like the below:
= 1/143 x (195/1 - 55/1)
= 1/143 x (195 - 55)

step 7Simplify the above expression further:
= 1/143 x 140
= 140/143
15/11 - 5/13 = 140/143

Hence,
15/11 minus 5/13 as a fraction is 140/143.

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15/11 - 5/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/11
Fraction B: 5/13

What to be found?
(15/11)-(5/13) = ?
Find what's the difference between 15/11 and 5/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 13), find the product of numerator of Fraction B and denominator of Fraction A (5 x 11), and find the product of both denominators of Fraction A and Fraction B (11 x 13) and rewrite the equation as like the below:
= (15 x 13) - (5 x 11)/(11 x 13)

step 3 Simplify and rewrite the fraction:
= (195 - 55)/143
15/11 - 5/13 = 140/143

Hence,
15/11 minus 5/13 in fraction is 140/143