10 - 6/13 as a fraction

Learn how to find what is 10 minus 6/13 in fraction form just in a few minutes. We have covered the easiest method to write 10 - 6/13 as a fraction and decimal.

Summary: 10 minus 6/13 = 124/13
Since both fractions have unequal denominators, 10 minus 6/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10 and fraction 6/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 13. 13 is the LCM of 1 and 13. Multiplying the LCM 13 with the numerators and denominators of both fractions (10 x 13/13) - (6/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 10 is 130/13 and for 6/13 is 6/13. By simplifying this fraction subtraction 130/13 - 6/13, it becomes 124/13.

CALCULATION: 10 - 6/13 as a fraction
10 - 6/13 = (?)
10/1 - 6/13 = [(10 x 13) - (6 x 1)]/(1 x 13)
= (130 - 6)/13
= 124/13
10 - 6/13 = 124/13
10 minus 6/13 as a fraction is 124/13.

where
10 is a whole number as a minuend,
6/13 is a proper fraction as a subtrahend,
124/13 is the difference between 10 and 6/13.

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10 minus 6/13 as a decimal
10 - 6/13 = 124/13
124/13 = 9.5385
(10) - (6/13) as a decimal is 9.5385

where
9.5385 is the difference between 10 and 6/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 6/13 from 10. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10 minus 6/13.
1. LCM method
2. Cross multiplication method.

(10) - (6/13) using LCM Method:
What is 10 minus 6/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/1
Fraction B: 6/13

What to be found?
(10) - (6/13) = ?
Find what's the difference between 10 and 6/13.

step 2 Compare the denominators of fractions 10 and 6/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10 and 6/13 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 10 and 6/13:
The LCM of 1 and 13 is 13.

step 4 Write the fractions 10 and 6/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10 - 6/13
= [(10 x 13)/(1 x 13)] - [(6 x 13)/(13 x 13)]

step 5 Simplify the expression to have common denominator:
= 130/13 - 6/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (130/1 - 6/1)
= 1/13 x (130 - 6)

step 7Simplify the above expression further:
= 1/13 x 124
= 124/13
10 - 6/13 = 124/13

Hence,
10 minus 6/13 as a fraction is 124/13.

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10 - 6/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/1
Fraction B: 6/13

What to be found?
(10)-(6/13) = ?
Find what's the difference between 10 and 6/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 13), find the product of numerator of Fraction B and denominator of Fraction A (6 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 13) and rewrite the equation as like the below:
= (10 x 13) - (6 x 1)/(1 x 13)

step 3 Simplify and rewrite the fraction:
= (130 - 6)/13
10 - 6/13 = 124/13

Hence,
10 minus 6/13 in fraction is 124/13