1/3 + 2/41 as a fraction

Learn how to find what is 1/3 plus 2/41 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/41 as a fraction and decimal.

Summary: 1/3 plus 2/41 = 47/123
Since both fractions have unequal denominators, 1/3 plus 2/41 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/41 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 41. 123 is the LCM of 3 and 41. Multiplying the LCM 123 with the numerators and denominators of both fractions (1/3 x 123/123) + (2/41 x 123/123), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 41/123 and for 2/41 is 6/123. By simplifying this fraction addition 41/123 + 6/123, it becomes 47/123.

Pie Chart Representation: 1/3 + 2/41 = 47/123

CALCULATION: 1/3 + 2/41 as a fraction
1/3 + 2/41 = (?)
1/3 + 2/41 = [(1 x 41) + (2 x 3)]/(3 x 41)
= (41 + 6)/123
= 47/123
1/3 + 2/41 = 47/123
1/3 plus 2/41 as a fraction is 47/123.

where
1/3 is a proper fraction as an addend,
2/41 is a proper fraction as an addend,
47/123 is the sum of 1/3 and 2/41.

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1/3 plus 2/41 as a decimal
1/3 + 2/41 = 47/123
47/123 = 0.3821
(1/3) + (2/41) as a decimal is 0.3821

where
0.3821 is the sum of 1/3 and 2/41.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/41 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/41 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/41) using LCM Method:
What is 1/3 plus 2/41 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/41

What to be found?
(1/3) + (2/41) = ?
Find what's the sum of 1/3 and 2/41.

step 2 Compare the denominators of fractions 1/3 and 2/41 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/41 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 2/41:
The LCM of 3 and 41 is 123.

step 4 Write the fractions 1/3 and 2/41 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/41
= [(1 x 123)/(3 x 123)] + [(2 x 123)/(41 x 123)]

step 5 Simplify the expression to have common denominator:
= 41/123 + 6/123

step 6 Take the common values out and rewrite the above expression like the below:
= 1/123 x (41/1 + 6/1)
= 1/123 x (41 + 6)

step 7Simplify the above expression further:
= 1/123 x 47
= 47/123
1/3 + 2/41 = 47/123

Hence,
1/3 plus 2/41 as a fraction is 47/123.

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1/3 + 2/41 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/41

What to be found?
(1/3)+(2/41) = ?
Find what's the sum of 1/3 and 2/41.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 41), 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 41) and rewrite the equation as like the below:
= (1 x 41) + (2 x 3)/(3 x 41)

step 3 Simplify and rewrite the fraction:
= (41 + 6)/123
1/3 + 2/41 = 47/123

Hence,
1/3 plus 2/41 in fraction is 47/123