2/5 + 1/39 as a fraction

Learn how to find what is 2/5 plus 1/39 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/39 as a fraction and decimal.

Summary: 2/5 plus 1/39 = 83/195
Since both fractions have unequal denominators, 2/5 plus 1/39 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/39 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 39. 195 is the LCM of 5 and 39. Multiplying the LCM 195 with the numerators and denominators of both fractions (2/5 x 195/195) + (1/39 x 195/195), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 78/195 and for 1/39 is 5/195. By simplifying this fraction addition 78/195 + 5/195, it becomes 83/195.

Pie Chart Representation: 2/5 + 1/39 = 83/195

CALCULATION: 2/5 + 1/39 as a fraction
2/5 + 1/39 = (?)
2/5 + 1/39 = [(2 x 39) + (1 x 5)]/(5 x 39)
= (78 + 5)/195
= 83/195
2/5 + 1/39 = 83/195
2/5 plus 1/39 as a fraction is 83/195.

where
2/5 is a proper fraction as an addend,
1/39 is a proper fraction as an addend,
83/195 is the sum of 2/5 and 1/39.

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2/5 plus 1/39 as a decimal
2/5 + 1/39 = 83/195
83/195 = 0.4256
(2/5) + (1/39) as a decimal is 0.4256

where
0.4256 is the sum of 2/5 and 1/39.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/39 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/39 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/39) using LCM Method:
What is 2/5 plus 1/39 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/39

What to be found?
(2/5) + (1/39) = ?
Find what's the sum of 2/5 and 1/39.

step 2 Compare the denominators of fractions 2/5 and 1/39 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 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 2/5 and 1/39:
The LCM of 5 and 39 is 195.

step 4 Write the fractions 2/5 and 1/39 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/39
= [(2 x 195)/(5 x 195)] + [(1 x 195)/(39 x 195)]

step 5 Simplify the expression to have common denominator:
= 78/195 + 5/195

step 6 Take the common values out and rewrite the above expression like the below:
= 1/195 x (78/1 + 5/1)
= 1/195 x (78 + 5)

step 7Simplify the above expression further:
= 1/195 x 83
= 83/195
2/5 + 1/39 = 83/195

Hence,
2/5 plus 1/39 as a fraction is 83/195.

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2/5 + 1/39 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/39

What to be found?
(2/5)+(1/39) = ?
Find what's the sum of 2/5 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 5), and find the product of both denominators of Fraction A and Fraction B (5 x 39) and rewrite the equation as like the below:
= (2 x 39) + (1 x 5)/(5 x 39)

step 3 Simplify and rewrite the fraction:
= (78 + 5)/195
2/5 + 1/39 = 83/195

Hence,
2/5 plus 1/39 in fraction is 83/195