1/3 + 2/57 as a fraction

Learn how to find what is 1/3 plus 2/57 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/57 as a fraction and decimal.

Summary: 1/3 plus 2/57 = 7/19
Since both fractions have unequal denominators, 1/3 plus 2/57 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/57 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 57. 57 is the LCM of 3 and 57. Multiplying the LCM 57 with the numerators and denominators of both fractions (1/3 x 57/57) + (2/57 x 57/57), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 19/57 and for 2/57 is 2/57. By simplifying this fraction addition 19/57 + 2/57, it becomes 21/57.

Pie Chart Representation: 1/3 + 2/57 = 7/19

CALCULATION: 1/3 + 2/57 as a fraction
1/3 + 2/57 = (?)
1/3 + 2/57 = [(1 x 57) + (2 x 3)]/(3 x 57)
= (57 + 6)/171
= 63/171
= (9 x 7)/(9 x 19)
= 7/19
1/3 + 2/57 = 7/19
1/3 plus 2/57 as a fraction is 7/19.

where
1/3 is a proper fraction as an addend,
2/57 is a proper fraction as an addend,
7/19 is the sum of 1/3 and 2/57.

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1/3 plus 2/57 as a decimal
1/3 + 2/57 = 7/19
7/19 = 0.3684
(1/3) + (2/57) as a decimal is 0.3684

where
0.3684 is the sum of 1/3 and 2/57.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/57 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/57 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/57) using LCM Method:
What is 1/3 plus 2/57 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/57

What to be found?
(1/3) + (2/57) = ?
Find what's the sum of 1/3 and 2/57.

step 2 Compare the denominators of fractions 1/3 and 2/57 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/57 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 2/57:
The LCM of 3 and 57 is 57.

step 4 Write the fractions 1/3 and 2/57 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/57
= [(1 x 57)/(3 x 57)] + [(2 x 57)/(57 x 57)]

step 5 Simplify the expression to have common denominator:
= 19/57 + 2/57

step 6 Take the common values out and rewrite the above expression like the below:
= 1/57 x (19/1 + 2/1)
= 1/57 x (19 + 2)

step 7Simplify the above expression further:
= 1/57 x 21
= 21/57
= 7/19
1/3 + 2/57 = 7/19

Hence,
1/3 plus 2/57 as a fraction is 7/19.

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1/3 + 2/57 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/57

What to be found?
(1/3)+(2/57) = ?
Find what's the sum of 1/3 and 2/57.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 57), 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 57) and rewrite the equation as like the below:
= (1 x 57) + (2 x 3)/(3 x 57)

step 3 Simplify and rewrite the fraction:
= (57 + 6)/171
= 63/171
= 7/19
1/3 + 2/57 = 7/19

Hence,
1/3 plus 2/57 in fraction is 7/19