2/3 + 1/41 as a fraction

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

Summary: 2/3 plus 1/41 = 85/123
Since both fractions have unequal denominators, 2/3 plus 1/41 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 1/41 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 (2/3 x 123/123) + (1/41 x 123/123), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 82/123 and for 1/41 is 3/123. By simplifying this fraction addition 82/123 + 3/123, it becomes 85/123.

Pie Chart Representation: 2/3 + 1/41 = 85/123

CALCULATION: 2/3 + 1/41 as a fraction
2/3 + 1/41 = (?)
2/3 + 1/41 = [(2 x 41) + (1 x 3)]/(3 x 41)
= (82 + 3)/123
= 85/123
2/3 + 1/41 = 85/123
2/3 plus 1/41 as a fraction is 85/123.

where
2/3 is a proper fraction as an addend,
1/41 is a proper fraction as an addend,
85/123 is the sum of 2/3 and 1/41.

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2/3 plus 1/41 as a decimal
2/3 + 1/41 = 85/123
85/123 = 0.6911
(2/3) + (1/41) as a decimal is 0.6911

where
0.6911 is the sum of 2/3 and 1/41.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 82/123 + 3/123

step 6 Take the common values out and rewrite the above expression like the below:
= 1/123 x (82/1 + 3/1)
= 1/123 x (82 + 3)

step 7Simplify the above expression further:
= 1/123 x 85
= 85/123
2/3 + 1/41 = 85/123

Hence,
2/3 plus 1/41 as a fraction is 85/123.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 41), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (2 x 41) + (1 x 3)/(3 x 41)

step 3 Simplify and rewrite the fraction:
= (82 + 3)/123
2/3 + 1/41 = 85/123

Hence,
2/3 plus 1/41 in fraction is 85/123