1/3 + 2/37 as a fraction

Learn how to find what is 1/3 plus 2/37 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/37 as a fraction and decimal.

Summary: 1/3 plus 2/37 = 43/111
Since both fractions have unequal denominators, 1/3 plus 2/37 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/37 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 37. 111 is the LCM of 3 and 37. Multiplying the LCM 111 with the numerators and denominators of both fractions (1/3 x 111/111) + (2/37 x 111/111), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 37/111 and for 2/37 is 6/111. By simplifying this fraction addition 37/111 + 6/111, it becomes 43/111.

Pie Chart Representation: 1/3 + 2/37 = 43/111

CALCULATION: 1/3 + 2/37 as a fraction
1/3 + 2/37 = (?)
1/3 + 2/37 = [(1 x 37) + (2 x 3)]/(3 x 37)
= (37 + 6)/111
= 43/111
1/3 + 2/37 = 43/111
1/3 plus 2/37 as a fraction is 43/111.

where
1/3 is a proper fraction as an addend,
2/37 is a proper fraction as an addend,
43/111 is the sum of 1/3 and 2/37.

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1/3 plus 2/37 as a decimal
1/3 + 2/37 = 43/111
43/111 = 0.3874
(1/3) + (2/37) as a decimal is 0.3874

where
0.3874 is the sum of 1/3 and 2/37.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/37 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/37 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/37) using LCM Method:
What is 1/3 plus 2/37 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/37

What to be found?
(1/3) + (2/37) = ?
Find what's the sum of 1/3 and 2/37.

step 2 Compare the denominators of fractions 1/3 and 2/37 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/37 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 1/3 and 2/37:
The LCM of 3 and 37 is 111.

step 4 Write the fractions 1/3 and 2/37 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/37
= [(1 x 111)/(3 x 111)] + [(2 x 111)/(37 x 111)]

step 5 Simplify the expression to have common denominator:
= 37/111 + 6/111

step 6 Take the common values out and rewrite the above expression like the below:
= 1/111 x (37/1 + 6/1)
= 1/111 x (37 + 6)

step 7Simplify the above expression further:
= 1/111 x 43
= 43/111
1/3 + 2/37 = 43/111

Hence,
1/3 plus 2/37 as a fraction is 43/111.

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1/3 + 2/37 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/37

What to be found?
(1/3)+(2/37) = ?
Find what's the sum of 1/3 and 2/37.

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 (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 37) and rewrite the equation as like the below:
= (1 x 37) + (2 x 3)/(3 x 37)

step 3 Simplify and rewrite the fraction:
= (37 + 6)/111
1/3 + 2/37 = 43/111

Hence,
1/3 plus 2/37 in fraction is 43/111