1/2 + 1/74 as a fraction

Learn how to find what is 1/2 plus 1/74 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/74 as a fraction and decimal.

Summary: 1/2 plus 1/74 = 19/37
Since both fractions have unequal denominators, 1/2 plus 1/74 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/74 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 74. 74 is the LCM of 2 and 74. Multiplying the LCM 74 with the numerators and denominators of both fractions (1/2 x 74/74) + (1/74 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 1/74 is 1/74. By simplifying this fraction addition 37/74 + 1/74, it becomes 38/74.

Pie Chart Representation: 1/2 + 1/74 = 19/37

CALCULATION: 1/2 + 1/74 as a fraction
1/2 + 1/74 = (?)
1/2 + 1/74 = [(1 x 74) + (1 x 2)]/(2 x 74)
= (74 + 2)/148
= 76/148
= (4 x 19)/(4 x 37)
= 19/37
1/2 + 1/74 = 19/37
1/2 plus 1/74 as a fraction is 19/37.

where
1/2 is a proper fraction as an addend,
1/74 is a proper fraction as an addend,
19/37 is the sum of 1/2 and 1/74.

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1/2 plus 1/74 as a decimal
1/2 + 1/74 = 19/37
19/37 = 0.5135
(1/2) + (1/74) as a decimal is 0.5135

where
0.5135 is the sum of 1/2 and 1/74.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/74 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/74 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/2) + (1/74) using LCM Method:
What is 1/2 plus 1/74 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/74

What to be found?
(1/2) + (1/74) = ?
Find what's the sum of 1/2 and 1/74.

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

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

step 5 Simplify the expression to have common denominator:
= 37/74 + 1/74

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

step 7Simplify the above expression further:
= 1/74 x 38
= 38/74
= 19/37
1/2 + 1/74 = 19/37

Hence,
1/2 plus 1/74 as a fraction is 19/37.

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1/2 + 1/74 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/74

What to be found?
(1/2)+(1/74) = ?
Find what's the sum of 1/2 and 1/74.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 74), 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 74) and rewrite the equation as like the below:
= (1 x 74) + (1 x 2)/(2 x 74)

step 3 Simplify and rewrite the fraction:
= (74 + 2)/148
= 76/148
= 19/37
1/2 + 1/74 = 19/37

Hence,
1/2 plus 1/74 in fraction is 19/37