2/8 + 1/78 as a fraction

Learn how to find what is 2/8 plus 1/78 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/78 as a fraction and decimal.

Summary: 2/8 plus 1/78 = 41/156
Since both fractions have unequal denominators, 2/8 plus 1/78 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/78 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 78. 312 is the LCM of 8 and 78. Multiplying the LCM 312 with the numerators and denominators of both fractions (2/8 x 312/312) + (1/78 x 312/312), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 78/312 and for 1/78 is 4/312. By simplifying this fraction addition 78/312 + 4/312, it becomes 82/312.

Pie Chart Representation: 2/8 + 1/78 = 41/156

CALCULATION: 2/8 + 1/78 as a fraction
2/8 + 1/78 = (?)
2/8 + 1/78 = [(2 x 78) + (1 x 8)]/(8 x 78)
= (156 + 8)/624
= 164/624
= (4 x 41)/(4 x 156)
= 41/156
2/8 + 1/78 = 41/156
2/8 plus 1/78 as a fraction is 41/156.

where
2/8 is a proper fraction as an addend,
1/78 is a proper fraction as an addend,
41/156 is the sum of 2/8 and 1/78.

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2/8 plus 1/78 as a decimal
2/8 + 1/78 = 41/156
41/156 = 0.2628
(2/8) + (1/78) as a decimal is 0.2628

where
0.2628 is the sum of 2/8 and 1/78.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/78 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/78 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/8) + (1/78) using LCM Method:
What is 2/8 plus 1/78 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/78

What to be found?
(2/8) + (1/78) = ?
Find what's the sum of 2/8 and 1/78.

step 2 Compare the denominators of fractions 2/8 and 1/78 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 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 2/8 and 1/78:
The LCM of 8 and 78 is 312.

step 4 Write the fractions 2/8 and 1/78 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/78
= [(2 x 312)/(8 x 312)] + [(1 x 312)/(78 x 312)]

step 5 Simplify the expression to have common denominator:
= 78/312 + 4/312

step 6 Take the common values out and rewrite the above expression like the below:
= 1/312 x (78/1 + 4/1)
= 1/312 x (78 + 4)

step 7Simplify the above expression further:
= 1/312 x 82
= 82/312
= 41/156
2/8 + 1/78 = 41/156

Hence,
2/8 plus 1/78 as a fraction is 41/156.

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2/8 + 1/78 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/78

What to be found?
(2/8)+(1/78) = ?
Find what's the sum of 2/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 78) and rewrite the equation as like the below:
= (2 x 78) + (1 x 8)/(8 x 78)

step 3 Simplify and rewrite the fraction:
= (156 + 8)/624
= 164/624
= 41/156
2/8 + 1/78 = 41/156

Hence,
2/8 plus 1/78 in fraction is 41/156