2/6 + 1/26 as a fraction

Learn how to find what is 2/6 plus 1/26 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 + 1/26 as a fraction and decimal.

Summary: 2/6 plus 1/26 = 29/78
Since both fractions have unequal denominators, 2/6 plus 1/26 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/26 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 26. 78 is the LCM of 6 and 26. Multiplying the LCM 78 with the numerators and denominators of both fractions (2/6 x 78/78) + (1/26 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 1/26 is 3/78. By simplifying this fraction addition 26/78 + 3/78, it becomes 29/78.

Pie Chart Representation: 2/6 + 1/26 = 29/78

CALCULATION: 2/6 + 1/26 as a fraction
2/6 + 1/26 = (?)
2/6 + 1/26 = [(2 x 26) + (1 x 6)]/(6 x 26)
= (52 + 6)/156
= 58/156
= (2 x 29)/(2 x 78)
= 29/78
2/6 + 1/26 = 29/78
2/6 plus 1/26 as a fraction is 29/78.

where
2/6 is a proper fraction as an addend,
1/26 is a proper fraction as an addend,
29/78 is the sum of 2/6 and 1/26.

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2/6 plus 1/26 as a decimal
2/6 + 1/26 = 29/78
29/78 = 0.3718
(2/6) + (1/26) as a decimal is 0.3718

where
0.3718 is the sum of 2/6 and 1/26.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/6 and 1/26 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/6 plus 1/26 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/6) + (1/26) using LCM Method:
What is 2/6 plus 1/26 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/26

What to be found?
(2/6) + (1/26) = ?
Find what's the sum of 2/6 and 1/26.

step 2 Compare the denominators of fractions 2/6 and 1/26 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/6 and 1/26 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 2/6 and 1/26:
The LCM of 6 and 26 is 78.

step 4 Write the fractions 2/6 and 1/26 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 + 1/26
= [(2 x 78)/(6 x 78)] + [(1 x 78)/(26 x 78)]

step 5 Simplify the expression to have common denominator:
= 26/78 + 3/78

step 6 Take the common values out and rewrite the above expression like the below:
= 1/78 x (26/1 + 3/1)
= 1/78 x (26 + 3)

step 7Simplify the above expression further:
= 1/78 x 29
= 29/78
2/6 + 1/26 = 29/78

Hence,
2/6 plus 1/26 as a fraction is 29/78.

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2/6 + 1/26 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/26

What to be found?
(2/6)+(1/26) = ?
Find what's the sum of 2/6 and 1/26.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 26), 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 26) and rewrite the equation as like the below:
= (2 x 26) + (1 x 6)/(6 x 26)

step 3 Simplify and rewrite the fraction:
= (52 + 6)/156
= 58/156
= 29/78
2/6 + 1/26 = 29/78

Hence,
2/6 plus 1/26 in fraction is 29/78