18/7 - 15/13 as a fraction

Learn how to find what is 18/7 minus 15/13 in fraction form just in a few minutes. We have covered the easiest method to write 18/7 - 15/13 as a fraction and decimal.

Summary: 18/7 minus 15/13 = 129/91
Since both fractions have unequal denominators, 18/7 minus 15/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 18/7 and fraction 15/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 13. 91 is the LCM of 7 and 13. Multiplying the LCM 91 with the numerators and denominators of both fractions (18/7 x 91/91) - (15/13 x 91/91), and simplify further in order to have the common denominator. So the equivalent fraction for 18/7 is 234/91 and for 15/13 is 105/91. By simplifying this fraction subtraction 234/91 - 105/91, it becomes 129/91.

CALCULATION: 18/7 - 15/13 as a fraction
18/7 - 15/13 = (?)
18/7 - 15/13 = [(18 x 13) - (15 x 7)]/(7 x 13)
= (234 - 105)/91
= 129/91
18/7 - 15/13 = 129/91
18/7 minus 15/13 as a fraction is 129/91.

where
18/7 is a improper fraction as a minuend,
15/13 is a improper fraction as a subtrahend,
129/91 is the difference between 18/7 and 15/13.

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18/7 minus 15/13 as a decimal
18/7 - 15/13 = 129/91
129/91 = 1.4176
(18/7) - (15/13) as a decimal is 1.4176

where
1.4176 is the difference between 18/7 and 15/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/13 from 18/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 18/7 minus 15/13.
1. LCM method
2. Cross multiplication method.

(18/7) - (15/13) using LCM Method:
What is 18/7 minus 15/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 15/13

What to be found?
(18/7) - (15/13) = ?
Find what's the difference between 18/7 and 15/13.

step 2 Compare the denominators of fractions 18/7 and 15/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 18/7 and 15/13 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 18/7 and 15/13:
The LCM of 7 and 13 is 91.

step 4 Write the fractions 18/7 and 15/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/7 - 15/13
= [(18 x 91)/(7 x 91)] - [(15 x 91)/(13 x 91)]

step 5 Simplify the expression to have common denominator:
= 234/91 - 105/91

step 6 Take the common values out and rewrite the above expression like the below:
= 1/91 x (234/1 - 105/1)
= 1/91 x (234 - 105)

step 7Simplify the above expression further:
= 1/91 x 129
= 129/91
18/7 - 15/13 = 129/91

Hence,
18/7 minus 15/13 as a fraction is 129/91.

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18/7 - 15/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 15/13

What to be found?
(18/7)-(15/13) = ?
Find what's the difference between 18/7 and 15/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 13), find the product of numerator of Fraction B and denominator of Fraction A (15 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 13) and rewrite the equation as like the below:
= (18 x 13) - (15 x 7)/(7 x 13)

step 3 Simplify and rewrite the fraction:
= (234 - 105)/91
18/7 - 15/13 = 129/91

Hence,
18/7 minus 15/13 in fraction is 129/91