1/2 + 1/37 as a fraction

Learn how to find what is 1/2 plus 1/37 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/37 as a fraction and decimal.

Summary: 1/2 plus 1/37 = 39/74
Since both fractions have unequal denominators, 1/2 plus 1/37 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/37 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 37. 74 is the LCM of 2 and 37. Multiplying the LCM 74 with the numerators and denominators of both fractions (1/2 x 74/74) + (1/37 x 74/74), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 37/74 and for 1/37 is 2/74. By simplifying this fraction addition 37/74 + 2/74, it becomes 39/74.

Pie Chart Representation: 1/2 + 1/37 = 39/74

CALCULATION: 1/2 + 1/37 as a fraction
1/2 + 1/37 = (?)
1/2 + 1/37 = [(1 x 37) + (1 x 2)]/(2 x 37)
= (37 + 2)/74
= 39/74
1/2 + 1/37 = 39/74
1/2 plus 1/37 as a fraction is 39/74.

where
1/2 is a proper fraction as an addend,
1/37 is a proper fraction as an addend,
39/74 is the sum of 1/2 and 1/37.

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1/2 plus 1/37 as a decimal
1/2 + 1/37 = 39/74
39/74 = 0.527
(1/2) + (1/37) as a decimal is 0.527

where
0.527 is the sum of 1/2 and 1/37.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/37 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/37 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/2) + (1/37) using LCM Method:
What is 1/2 plus 1/37 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/37

What to be found?
(1/2) + (1/37) = ?
Find what's the sum of 1/2 and 1/37.

step 2 Compare the denominators of fractions 1/2 and 1/37 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/37 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 1/37:
The LCM of 2 and 37 is 74.

step 4 Write the fractions 1/2 and 1/37 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/37
= [(1 x 74)/(2 x 74)] + [(1 x 74)/(37 x 74)]

step 5 Simplify the expression to have common denominator:
= 37/74 + 2/74

step 6 Take the common values out and rewrite the above expression like the below:
= 1/74 x (37/1 + 2/1)
= 1/74 x (37 + 2)

step 7Simplify the above expression further:
= 1/74 x 39
= 39/74
1/2 + 1/37 = 39/74

Hence,
1/2 plus 1/37 as a fraction is 39/74.

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1/2 + 1/37 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/37

What to be found?
(1/2)+(1/37) = ?
Find what's the sum of 1/2 and 1/37.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 37), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 37) and rewrite the equation as like the below:
= (1 x 37) + (1 x 2)/(2 x 37)

step 3 Simplify and rewrite the fraction:
= (37 + 2)/74
1/2 + 1/37 = 39/74

Hence,
1/2 plus 1/37 in fraction is 39/74