2/5 + 1/78 as a fraction

Learn how to find what is 2/5 plus 1/78 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/78 as a fraction and decimal.

Summary: 2/5 plus 1/78 = 161/390
Since both fractions have unequal denominators, 2/5 plus 1/78 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/78 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 78. 390 is the LCM of 5 and 78. Multiplying the LCM 390 with the numerators and denominators of both fractions (2/5 x 390/390) + (1/78 x 390/390), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 156/390 and for 1/78 is 5/390. By simplifying this fraction addition 156/390 + 5/390, it becomes 161/390.

Pie Chart Representation: 2/5 + 1/78 = 161/390

CALCULATION: 2/5 + 1/78 as a fraction
2/5 + 1/78 = (?)
2/5 + 1/78 = [(2 x 78) + (1 x 5)]/(5 x 78)
= (156 + 5)/390
= 161/390
2/5 + 1/78 = 161/390
2/5 plus 1/78 as a fraction is 161/390.

where
2/5 is a proper fraction as an addend,
1/78 is a proper fraction as an addend,
161/390 is the sum of 2/5 and 1/78.

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2/5 plus 1/78 as a decimal
2/5 + 1/78 = 161/390
161/390 = 0.4128
(2/5) + (1/78) as a decimal is 0.4128

where
0.4128 is the sum of 2/5 and 1/78.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/78 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/78 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/78) using LCM Method:
What is 2/5 plus 1/78 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/78

What to be found?
(2/5) + (1/78) = ?
Find what's the sum of 2/5 and 1/78.

step 2 Compare the denominators of fractions 2/5 and 1/78 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/78 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 1/78:
The LCM of 5 and 78 is 390.

step 4 Write the fractions 2/5 and 1/78 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/78
= [(2 x 390)/(5 x 390)] + [(1 x 390)/(78 x 390)]

step 5 Simplify the expression to have common denominator:
= 156/390 + 5/390

step 6 Take the common values out and rewrite the above expression like the below:
= 1/390 x (156/1 + 5/1)
= 1/390 x (156 + 5)

step 7Simplify the above expression further:
= 1/390 x 161
= 161/390
2/5 + 1/78 = 161/390

Hence,
2/5 plus 1/78 as a fraction is 161/390.

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2/5 + 1/78 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/78

What to be found?
(2/5)+(1/78) = ?
Find what's the sum of 2/5 and 1/78.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 78), 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 78) and rewrite the equation as like the below:
= (2 x 78) + (1 x 5)/(5 x 78)

step 3 Simplify and rewrite the fraction:
= (156 + 5)/390
2/5 + 1/78 = 161/390

Hence,
2/5 plus 1/78 in fraction is 161/390