1/3 - 2/26 as a fraction

Learn how to find what is 1/3 minus 2/26 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/26 as a fraction and decimal.

Summary: 1/3 minus 2/26 = 10/39
Since both fractions have unequal denominators, 1/3 minus 2/26 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/26 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 26. 78 is the LCM of 3 and 26. Multiplying the LCM 78 with the numerators and denominators of both fractions (1/3 x 78/78) - (2/26 x 78/78), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 26/78 and for 2/26 is 6/78. By simplifying this fraction subtraction 26/78 - 6/78, it becomes 20/78.

Pie Chart Representation: 1/3 - 2/26 = 10/39

CALCULATION: 1/3 - 2/26 as a fraction
1/3 - 2/26 = (?)
1/3 - 2/26 = [(1 x 26) - (2 x 3)]/(3 x 26)
= (26 - 6)/78
= 20/78
= (2 x 10)/(2 x 39)
= 10/39
1/3 - 2/26 = 10/39
1/3 minus 2/26 as a fraction is 10/39.

where
1/3 is a proper fraction as a minuend,
2/26 is a proper fraction as a subtrahend,
10/39 is the difference between 1/3 and 2/26.

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1/3 minus 2/26 as a decimal
1/3 - 2/26 = 10/39
10/39 = 0.2564
(1/3) - (2/26) as a decimal is 0.2564

where
0.2564 is the difference between 1/3 and 2/26.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/26 from 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 2/26.
1. LCM method
2. Cross multiplication method.

(1/3) - (2/26) using LCM Method:
What is 1/3 minus 2/26 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/26

What to be found?
(1/3) - (2/26) = ?
Find what's the difference between 1/3 and 2/26.

step 2 Compare the denominators of fractions 1/3 and 2/26 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/26 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 1/3 and 2/26:
The LCM of 3 and 26 is 78.

step 4 Write the fractions 1/3 and 2/26 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/26
= [(1 x 78)/(3 x 78)] - [(2 x 78)/(26 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
1/3 - 2/26 = 10/39

Hence,
1/3 minus 2/26 as a fraction is 10/39.

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1/3 - 2/26 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/26

What to be found?
(1/3)-(2/26) = ?
Find what's the difference between 1/3 and 2/26.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 26), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 26) and rewrite the equation as like the below:
= (1 x 26) - (2 x 3)/(3 x 26)

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

Hence,
1/3 minus 2/26 in fraction is 10/39