1/3 + 2/59 as a fraction

Learn how to find what is 1/3 plus 2/59 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/59 as a fraction and decimal.

Summary: 1/3 plus 2/59 = 65/177
Since both fractions have unequal denominators, 1/3 plus 2/59 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/59 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 59. 177 is the LCM of 3 and 59. Multiplying the LCM 177 with the numerators and denominators of both fractions (1/3 x 177/177) + (2/59 x 177/177), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 59/177 and for 2/59 is 6/177. By simplifying this fraction addition 59/177 + 6/177, it becomes 65/177.

Pie Chart Representation: 1/3 + 2/59 = 65/177

CALCULATION: 1/3 + 2/59 as a fraction
1/3 + 2/59 = (?)
1/3 + 2/59 = [(1 x 59) + (2 x 3)]/(3 x 59)
= (59 + 6)/177
= 65/177
1/3 + 2/59 = 65/177
1/3 plus 2/59 as a fraction is 65/177.

where
1/3 is a proper fraction as an addend,
2/59 is a proper fraction as an addend,
65/177 is the sum of 1/3 and 2/59.

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1/3 plus 2/59 as a decimal
1/3 + 2/59 = 65/177
65/177 = 0.3672
(1/3) + (2/59) as a decimal is 0.3672

where
0.3672 is the sum of 1/3 and 2/59.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/59 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/59 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/59) using LCM Method:
What is 1/3 plus 2/59 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/59

What to be found?
(1/3) + (2/59) = ?
Find what's the sum of 1/3 and 2/59.

step 2 Compare the denominators of fractions 1/3 and 2/59 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/59 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 2/59:
The LCM of 3 and 59 is 177.

step 4 Write the fractions 1/3 and 2/59 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/59
= [(1 x 177)/(3 x 177)] + [(2 x 177)/(59 x 177)]

step 5 Simplify the expression to have common denominator:
= 59/177 + 6/177

step 6 Take the common values out and rewrite the above expression like the below:
= 1/177 x (59/1 + 6/1)
= 1/177 x (59 + 6)

step 7Simplify the above expression further:
= 1/177 x 65
= 65/177
1/3 + 2/59 = 65/177

Hence,
1/3 plus 2/59 as a fraction is 65/177.

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1/3 + 2/59 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/59

What to be found?
(1/3)+(2/59) = ?
Find what's the sum of 1/3 and 2/59.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 59), 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 59) and rewrite the equation as like the below:
= (1 x 59) + (2 x 3)/(3 x 59)

step 3 Simplify and rewrite the fraction:
= (59 + 6)/177
1/3 + 2/59 = 65/177

Hence,
1/3 plus 2/59 in fraction is 65/177