13/7 - 13/14 as a fraction

Learn how to find what is 13/7 minus 13/14 in fraction form just in a few minutes. We have covered the easiest method to write 13/7 - 13/14 as a fraction and decimal.

Summary: 13/7 minus 13/14 = 13/14
Since both fractions have unequal denominators, 13/7 minus 13/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/7 and fraction 13/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 14. 14 is the LCM of 7 and 14. Multiplying the LCM 14 with the numerators and denominators of both fractions (13/7 x 14/14) - (13/14 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 13/7 is 26/14 and for 13/14 is 13/14. By simplifying this fraction subtraction 26/14 - 13/14, it becomes 13/14.

Pie Chart Representation: 13/7 - 13/14 = 13/14

CALCULATION: 13/7 - 13/14 as a fraction
13/7 - 13/14 = (?)
13/7 - 13/14 = [(13 x 14) - (13 x 7)]/(7 x 14)
= (182 - 91)/98
= 91/98
= (7 x 13)/(7 x 14)
= 13/14
13/7 - 13/14 = 13/14
13/7 minus 13/14 as a fraction is 13/14.

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

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13/7 minus 13/14 as a decimal
13/7 - 13/14 = 13/14
13/14 = 0.9286
(13/7) - (13/14) as a decimal is 0.9286

where
0.9286 is the difference between 13/7 and 13/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/14 from 13/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/7 minus 13/14.
1. LCM method
2. Cross multiplication method.

(13/7) - (13/14) using LCM Method:
What is 13/7 minus 13/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/7
Fraction B: 13/14

What to be found?
(13/7) - (13/14) = ?
Find what's the difference between 13/7 and 13/14.

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

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

step 5 Simplify the expression to have common denominator:
= 26/14 - 13/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (26/1 - 13/1)
= 1/14 x (26 - 13)

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

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

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13/7 - 13/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/7
Fraction B: 13/14

What to be found?
(13/7)-(13/14) = ?
Find what's the difference between 13/7 and 13/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 14), find the product of numerator of Fraction B and denominator of Fraction A (13 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 14) and rewrite the equation as like the below:
= (13 x 14) - (13 x 7)/(7 x 14)

step 3 Simplify and rewrite the fraction:
= (182 - 91)/98
= 91/98
= 13/14
13/7 - 13/14 = 13/14

Hence,
13/7 minus 13/14 in fraction is 13/14