8/13 - 13 as a fraction

Learn how to find what is 8/13 minus 13 in fraction form just in a few minutes. We have covered the easiest method to write 8/13 - 13 as a fraction and decimal.

Summary: 8/13 minus 13 = -161/13
Since both fractions have unequal denominators, 8/13 minus 13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/13 and fraction 13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 13 and 1. 13 is the LCM of 13 and 1. Multiplying the LCM 13 with the numerators and denominators of both fractions (8/13 x 13/13) - (13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 8/13 is 8/13 and for 13 is 169/13. By simplifying this fraction subtraction 8/13 - 169/13, it becomes -161/13.

CALCULATION: 8/13 - 13 as a fraction
8/13 - 13 = (?)
8/13 - 13/1 = [(8 x 1) - (13 x 13)]/(13 x 1)
= (8 - 169)/13
= -161/13
8/13 - 13 = -161/13
8/13 minus 13 as a fraction is -161/13.

where
8/13 is a proper fraction as a minuend,
13 is a whole number as a subtrahend,
-161/13 is the difference between 8/13 and 13.

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8/13 minus 13 as a decimal
8/13 - 13 = -161/13
-161/13 = -12.3846
(8/13) - (13) as a decimal is -12.3846

where
-12.3846 is the difference between 8/13 and 13.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 13 from 8/13. use any one of the following methods to find the equivalent fraction for 8/13 minus 13.
1. LCM method
2. Cross multiplication method.

(8/13) - (13) using LCM Method:
What is 8/13 minus 13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/13
Fraction B: 13/1

What to be found?
(8/13) - (13) = ?
Find what's the difference between 8/13 and 13.

step 2 Compare the denominators of fractions 8/13 and 13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/13 and 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 8/13 and 13:
The LCM of 13 and 1 is 13.

step 4 Write the fractions 8/13 and 13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/13 - 13
= [(8 x 13)/(13 x 13)] - [(13 x 13)/(1 x 13)]

step 5 Simplify the expression to have common denominator:
= 8/13 - 169/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (8/1 - 169/1)
= 1/13 x (8 - 169)

step 7Simplify the above expression further:
= 1/13 x -161
= -161/13
8/13 - 13 = -161/13

Hence,
8/13 minus 13 as a fraction is -161/13.

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8/13 - 13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/13
Fraction B: 13/1

What to be found?
(8/13)-(13) = ?
Find what's the difference between 8/13 and 13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 1), find the product of numerator of Fraction B and denominator of Fraction A (13 x 13), and find the product of both denominators of Fraction A and Fraction B (13 x 1) and rewrite the equation as like the below:
= (8 x 1) - (13 x 13)/(13 x 1)

step 3 Simplify and rewrite the fraction:
= (8 - 169)/13
8/13 - 13 = -161/13

Hence,
8/13 minus 13 in fraction is -161/13