1/5 + 2/78 as a fraction

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

Summary: 1/5 plus 2/78 = 44/195
Since both fractions have unequal denominators, 1/5 plus 2/78 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/78 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 (1/5 x 390/390) + (2/78 x 390/390), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 78/390 and for 2/78 is 10/390. By simplifying this fraction addition 78/390 + 10/390, it becomes 88/390.

Pie Chart Representation: 1/5 + 2/78 = 44/195

CALCULATION: 1/5 + 2/78 as a fraction
1/5 + 2/78 = (?)
1/5 + 2/78 = [(1 x 78) + (2 x 5)]/(5 x 78)
= (78 + 10)/390
= 88/390
= (2 x 44)/(2 x 195)
= 44/195
1/5 + 2/78 = 44/195
1/5 plus 2/78 as a fraction is 44/195.

where
1/5 is a proper fraction as an addend,
2/78 is a proper fraction as an addend,
44/195 is the sum of 1/5 and 2/78.

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1/5 plus 2/78 as a decimal
1/5 + 2/78 = 44/195
44/195 = 0.2256
(1/5) + (2/78) as a decimal is 0.2256

where
0.2256 is the sum of 1/5 and 2/78.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 78/390 + 10/390

step 6 Take the common values out and rewrite the above expression like the below:
= 1/390 x (78/1 + 10/1)
= 1/390 x (78 + 10)

step 7Simplify the above expression further:
= 1/390 x 88
= 88/390
= 44/195
1/5 + 2/78 = 44/195

Hence,
1/5 plus 2/78 as a fraction is 44/195.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 78), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (1 x 78) + (2 x 5)/(5 x 78)

step 3 Simplify and rewrite the fraction:
= (78 + 10)/390
= 88/390
= 44/195
1/5 + 2/78 = 44/195

Hence,
1/5 plus 2/78 in fraction is 44/195