1/3 + 2/31 as a fraction

Learn how to find what is 1/3 plus 2/31 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/31 as a fraction and decimal.

Summary: 1/3 plus 2/31 = 37/93
Since both fractions have unequal denominators, 1/3 plus 2/31 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/31 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 31. 93 is the LCM of 3 and 31. Multiplying the LCM 93 with the numerators and denominators of both fractions (1/3 x 93/93) + (2/31 x 93/93), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 31/93 and for 2/31 is 6/93. By simplifying this fraction addition 31/93 + 6/93, it becomes 37/93.

Pie Chart Representation: 1/3 + 2/31 = 37/93

CALCULATION: 1/3 + 2/31 as a fraction
1/3 + 2/31 = (?)
1/3 + 2/31 = [(1 x 31) + (2 x 3)]/(3 x 31)
= (31 + 6)/93
= 37/93
1/3 + 2/31 = 37/93
1/3 plus 2/31 as a fraction is 37/93.

where
1/3 is a proper fraction as an addend,
2/31 is a proper fraction as an addend,
37/93 is the sum of 1/3 and 2/31.

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1/3 plus 2/31 as a decimal
1/3 + 2/31 = 37/93
37/93 = 0.3978
(1/3) + (2/31) as a decimal is 0.3978

where
0.3978 is the sum of 1/3 and 2/31.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/31 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/31 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/31) using LCM Method:
What is 1/3 plus 2/31 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/31

What to be found?
(1/3) + (2/31) = ?
Find what's the sum of 1/3 and 2/31.

step 2 Compare the denominators of fractions 1/3 and 2/31 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/31 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 2/31:
The LCM of 3 and 31 is 93.

step 4 Write the fractions 1/3 and 2/31 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/31
= [(1 x 93)/(3 x 93)] + [(2 x 93)/(31 x 93)]

step 5 Simplify the expression to have common denominator:
= 31/93 + 6/93

step 6 Take the common values out and rewrite the above expression like the below:
= 1/93 x (31/1 + 6/1)
= 1/93 x (31 + 6)

step 7Simplify the above expression further:
= 1/93 x 37
= 37/93
1/3 + 2/31 = 37/93

Hence,
1/3 plus 2/31 as a fraction is 37/93.

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1/3 + 2/31 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/31

What to be found?
(1/3)+(2/31) = ?
Find what's the sum of 1/3 and 2/31.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 31), 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 31) and rewrite the equation as like the below:
= (1 x 31) + (2 x 3)/(3 x 31)

step 3 Simplify and rewrite the fraction:
= (31 + 6)/93
1/3 + 2/31 = 37/93

Hence,
1/3 plus 2/31 in fraction is 37/93