1/2 + 2/78 as a fraction

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

Summary: 1/2 plus 2/78 = 41/78
Since both fractions have unequal denominators, 1/2 plus 2/78 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 2/78 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 78. 78 is the LCM of 2 and 78. Multiplying the LCM 78 with the numerators and denominators of both fractions (1/2 x 78/78) + (2/78 x 78/78), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 39/78 and for 2/78 is 2/78. By simplifying this fraction addition 39/78 + 2/78, it becomes 41/78.

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

CALCULATION: 1/2 + 2/78 as a fraction
1/2 + 2/78 = (?)
1/2 + 2/78 = [(1 x 78) + (2 x 2)]/(2 x 78)
= (78 + 4)/156
= 82/156
= (2 x 41)/(2 x 78)
= 41/78
1/2 + 2/78 = 41/78
1/2 plus 2/78 as a fraction is 41/78.

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

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1/2 plus 2/78 as a decimal
1/2 + 2/78 = 41/78
41/78 = 0.5256
(1/2) + (2/78) as a decimal is 0.5256

where
0.5256 is the sum of 1/2 and 2/78.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 39/78 + 2/78

step 6 Take the common values out and rewrite the above expression like the below:
= 1/78 x (39/1 + 2/1)
= 1/78 x (39 + 2)

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

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

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

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

step 3 Simplify and rewrite the fraction:
= (78 + 4)/156
= 82/156
= 41/78
1/2 + 2/78 = 41/78

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