2/6 - 1/13 as a fraction

Learn how to find what is 2/6 minus 1/13 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 - 1/13 as a fraction and decimal.

Summary: 2/6 minus 1/13 = 10/39
Since both fractions have unequal denominators, 2/6 minus 1/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 13. 78 is the LCM of 6 and 13. Multiplying the LCM 78 with the numerators and denominators of both fractions (2/6 x 78/78) - (1/13 x 78/78), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 26/78 and for 1/13 is 6/78. By simplifying this fraction subtraction 26/78 - 6/78, it becomes 20/78.

Pie Chart Representation: 2/6 - 1/13 = 10/39

CALCULATION: 2/6 - 1/13 as a fraction
2/6 - 1/13 = (?)
2/6 - 1/13 = [(2 x 13) - (1 x 6)]/(6 x 13)
= (26 - 6)/78
= 20/78
= (2 x 10)/(2 x 39)
= 10/39
2/6 - 1/13 = 10/39
2/6 minus 1/13 as a fraction is 10/39.

where
2/6 is a proper fraction as a minuend,
1/13 is a proper fraction as a subtrahend,
10/39 is the difference between 2/6 and 1/13.

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2/6 minus 1/13 as a decimal
2/6 - 1/13 = 10/39
10/39 = 0.2564
(2/6) - (1/13) as a decimal is 0.2564

where
0.2564 is the difference between 2/6 and 1/13.

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

(2/6) - (1/13) using LCM Method:
What is 2/6 minus 1/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/13

What to be found?
(2/6) - (1/13) = ?
Find what's the difference between 2/6 and 1/13.

step 2 Compare the denominators of fractions 2/6 and 1/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/6 and 1/13 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 2/6 and 1/13:
The LCM of 6 and 13 is 78.

step 4 Write the fractions 2/6 and 1/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 - 1/13
= [(2 x 78)/(6 x 78)] - [(1 x 78)/(13 x 78)]

step 5 Simplify the expression to have common denominator:
= 26/78 - 6/78

step 6 Take the common values out and rewrite the above expression like the below:
= 1/78 x (26/1 - 6/1)
= 1/78 x (26 - 6)

step 7Simplify the above expression further:
= 1/78 x 20
= 20/78
= 10/39
2/6 - 1/13 = 10/39

Hence,
2/6 minus 1/13 as a fraction is 10/39.

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2/6 - 1/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/13

What to be found?
(2/6)-(1/13) = ?
Find what's the difference between 2/6 and 1/13.

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

step 3 Simplify and rewrite the fraction:
= (26 - 6)/78
= 20/78
= 10/39
2/6 - 1/13 = 10/39

Hence,
2/6 minus 1/13 in fraction is 10/39