1/3 + 2/39 as a fraction

Learn how to find what is 1/3 plus 2/39 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/39 as a fraction and decimal.

Summary: 1/3 plus 2/39 = 5/13
Since both fractions have unequal denominators, 1/3 plus 2/39 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/39 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 39. 39 is the LCM of 3 and 39. Multiplying the LCM 39 with the numerators and denominators of both fractions (1/3 x 39/39) + (2/39 x 39/39), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 13/39 and for 2/39 is 2/39. By simplifying this fraction addition 13/39 + 2/39, it becomes 15/39.

Pie Chart Representation: 1/3 + 2/39 = 5/13

CALCULATION: 1/3 + 2/39 as a fraction
1/3 + 2/39 = (?)
1/3 + 2/39 = [(1 x 39) + (2 x 3)]/(3 x 39)
= (39 + 6)/117
= 45/117
= (9 x 5)/(9 x 13)
= 5/13
1/3 + 2/39 = 5/13
1/3 plus 2/39 as a fraction is 5/13.

where
1/3 is a proper fraction as an addend,
2/39 is a proper fraction as an addend,
5/13 is the sum of 1/3 and 2/39.

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1/3 plus 2/39 as a decimal
1/3 + 2/39 = 5/13
5/13 = 0.3846
(1/3) + (2/39) as a decimal is 0.3846

where
0.3846 is the sum of 1/3 and 2/39.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/39 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/39 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/39) using LCM Method:
What is 1/3 plus 2/39 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/39

What to be found?
(1/3) + (2/39) = ?
Find what's the sum of 1/3 and 2/39.

step 2 Compare the denominators of fractions 1/3 and 2/39 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/39 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 1/3 and 2/39:
The LCM of 3 and 39 is 39.

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

step 5 Simplify the expression to have common denominator:
= 13/39 + 2/39

step 6 Take the common values out and rewrite the above expression like the below:
= 1/39 x (13/1 + 2/1)
= 1/39 x (13 + 2)

step 7Simplify the above expression further:
= 1/39 x 15
= 15/39
= 5/13
1/3 + 2/39 = 5/13

Hence,
1/3 plus 2/39 as a fraction is 5/13.

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1/3 + 2/39 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/39

What to be found?
(1/3)+(2/39) = ?
Find what's the sum of 1/3 and 2/39.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 39), 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 39) and rewrite the equation as like the below:
= (1 x 39) + (2 x 3)/(3 x 39)

step 3 Simplify and rewrite the fraction:
= (39 + 6)/117
= 45/117
= 5/13
1/3 + 2/39 = 5/13

Hence,
1/3 plus 2/39 in fraction is 5/13