2/4 + 1/39 as a fraction

Learn how to find what is 2/4 plus 1/39 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 1/39 as a fraction and decimal.

Summary: 2/4 plus 1/39 = 41/78
Since both fractions have unequal denominators, 2/4 plus 1/39 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/39 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 39. 156 is the LCM of 4 and 39. Multiplying the LCM 156 with the numerators and denominators of both fractions (2/4 x 156/156) + (1/39 x 156/156), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 78/156 and for 1/39 is 4/156. By simplifying this fraction addition 78/156 + 4/156, it becomes 82/156.

Pie Chart Representation: 2/4 + 1/39 = 41/78

CALCULATION: 2/4 + 1/39 as a fraction
2/4 + 1/39 = (?)
2/4 + 1/39 = [(2 x 39) + (1 x 4)]/(4 x 39)
= (78 + 4)/156
= 82/156
= (2 x 41)/(2 x 78)
= 41/78
2/4 + 1/39 = 41/78
2/4 plus 1/39 as a fraction is 41/78.

where
2/4 is a proper fraction as an addend,
1/39 is a proper fraction as an addend,
41/78 is the sum of 2/4 and 1/39.

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2/4 plus 1/39 as a decimal
2/4 + 1/39 = 41/78
41/78 = 0.5256
(2/4) + (1/39) as a decimal is 0.5256

where
0.5256 is the sum of 2/4 and 1/39.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 1/39 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 1/39 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/4) + (1/39) using LCM Method:
What is 2/4 plus 1/39 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/39

What to be found?
(2/4) + (1/39) = ?
Find what's the sum of 2/4 and 1/39.

step 2 Compare the denominators of fractions 2/4 and 1/39 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 and 1/39 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 2/4 and 1/39:
The LCM of 4 and 39 is 156.

step 4 Write the fractions 2/4 and 1/39 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 + 1/39
= [(2 x 156)/(4 x 156)] + [(1 x 156)/(39 x 156)]

step 5 Simplify the expression to have common denominator:
= 78/156 + 4/156

step 6 Take the common values out and rewrite the above expression like the below:
= 1/156 x (78/1 + 4/1)
= 1/156 x (78 + 4)

step 7Simplify the above expression further:
= 1/156 x 82
= 82/156
= 41/78
2/4 + 1/39 = 41/78

Hence,
2/4 plus 1/39 as a fraction is 41/78.

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2/4 + 1/39 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/39

What to be found?
(2/4)+(1/39) = ?
Find what's the sum of 2/4 and 1/39.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 39), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 39) and rewrite the equation as like the below:
= (2 x 39) + (1 x 4)/(4 x 39)

step 3 Simplify and rewrite the fraction:
= (78 + 4)/156
= 82/156
= 41/78
2/4 + 1/39 = 41/78

Hence,
2/4 plus 1/39 in fraction is 41/78