1/3 + 2/38 as a fraction

Learn how to find what is 1/3 plus 2/38 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/38 as a fraction and decimal.

Summary: 1/3 plus 2/38 = 22/57
Since both fractions have unequal denominators, 1/3 plus 2/38 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/38 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 38. 114 is the LCM of 3 and 38. Multiplying the LCM 114 with the numerators and denominators of both fractions (1/3 x 114/114) + (2/38 x 114/114), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 38/114 and for 2/38 is 6/114. By simplifying this fraction addition 38/114 + 6/114, it becomes 44/114.

Pie Chart Representation: 1/3 + 2/38 = 22/57

CALCULATION: 1/3 + 2/38 as a fraction
1/3 + 2/38 = (?)
1/3 + 2/38 = [(1 x 38) + (2 x 3)]/(3 x 38)
= (38 + 6)/114
= 44/114
= (2 x 22)/(2 x 57)
= 22/57
1/3 + 2/38 = 22/57
1/3 plus 2/38 as a fraction is 22/57.

where
1/3 is a proper fraction as an addend,
2/38 is a proper fraction as an addend,
22/57 is the sum of 1/3 and 2/38.

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1/3 plus 2/38 as a decimal
1/3 + 2/38 = 22/57
22/57 = 0.386
(1/3) + (2/38) as a decimal is 0.386

where
0.386 is the sum of 1/3 and 2/38.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/38 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/38 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/38) using LCM Method:
What is 1/3 plus 2/38 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/38

What to be found?
(1/3) + (2/38) = ?
Find what's the sum of 1/3 and 2/38.

step 2 Compare the denominators of fractions 1/3 and 2/38 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/38 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 2/38:
The LCM of 3 and 38 is 114.

step 4 Write the fractions 1/3 and 2/38 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/38
= [(1 x 114)/(3 x 114)] + [(2 x 114)/(38 x 114)]

step 5 Simplify the expression to have common denominator:
= 38/114 + 6/114

step 6 Take the common values out and rewrite the above expression like the below:
= 1/114 x (38/1 + 6/1)
= 1/114 x (38 + 6)

step 7Simplify the above expression further:
= 1/114 x 44
= 44/114
= 22/57
1/3 + 2/38 = 22/57

Hence,
1/3 plus 2/38 as a fraction is 22/57.

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1/3 + 2/38 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/38

What to be found?
(1/3)+(2/38) = ?
Find what's the sum of 1/3 and 2/38.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 38), 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 38) and rewrite the equation as like the below:
= (1 x 38) + (2 x 3)/(3 x 38)

step 3 Simplify and rewrite the fraction:
= (38 + 6)/114
= 44/114
= 22/57
1/3 + 2/38 = 22/57

Hence,
1/3 plus 2/38 in fraction is 22/57