13/2 - 5/7 as a fraction

Learn how to find what is 13/2 minus 5/7 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 - 5/7 as a fraction and decimal.

Summary: 13/2 minus 5/7 = 81/14
Since both fractions have unequal denominators, 13/2 minus 5/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 5/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 7. 14 is the LCM of 2 and 7. Multiplying the LCM 14 with the numerators and denominators of both fractions (13/2 x 14/14) - (5/7 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 91/14 and for 5/7 is 10/14. By simplifying this fraction subtraction 91/14 - 10/14, it becomes 81/14.

CALCULATION: 13/2 - 5/7 as a fraction
13/2 - 5/7 = (?)
13/2 - 5/7 = [(13 x 7) - (5 x 2)]/(2 x 7)
= (91 - 10)/14
= 81/14
13/2 - 5/7 = 81/14
13/2 minus 5/7 as a fraction is 81/14.

where
13/2 is a improper fraction as a minuend,
5/7 is a proper fraction as a subtrahend,
81/14 is the difference between 13/2 and 5/7.

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13/2 minus 5/7 as a decimal
13/2 - 5/7 = 81/14
81/14 = 5.7857
(13/2) - (5/7) as a decimal is 5.7857

where
5.7857 is the difference between 13/2 and 5/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/7 from 13/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/2 minus 5/7.
1. LCM method
2. Cross multiplication method.

(13/2) - (5/7) using LCM Method:
What is 13/2 minus 5/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 5/7

What to be found?
(13/2) - (5/7) = ?
Find what's the difference between 13/2 and 5/7.

step 2 Compare the denominators of fractions 13/2 and 5/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/2 and 5/7 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 13/2 and 5/7:
The LCM of 2 and 7 is 14.

step 4 Write the fractions 13/2 and 5/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 - 5/7
= [(13 x 14)/(2 x 14)] - [(5 x 14)/(7 x 14)]

step 5 Simplify the expression to have common denominator:
= 91/14 - 10/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (91/1 - 10/1)
= 1/14 x (91 - 10)

step 7Simplify the above expression further:
= 1/14 x 81
= 81/14
13/2 - 5/7 = 81/14

Hence,
13/2 minus 5/7 as a fraction is 81/14.

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13/2 - 5/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 5/7

What to be found?
(13/2)-(5/7) = ?
Find what's the difference between 13/2 and 5/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 7), find the product of numerator of Fraction B and denominator of Fraction A (5 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 7) and rewrite the equation as like the below:
= (13 x 7) - (5 x 2)/(2 x 7)

step 3 Simplify and rewrite the fraction:
= (91 - 10)/14
13/2 - 5/7 = 81/14

Hence,
13/2 minus 5/7 in fraction is 81/14