2/7 + 1/31 as a fraction

Learn how to find what is 2/7 plus 1/31 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/31 as a fraction and decimal.

Summary: 2/7 plus 1/31 = 69/217
Since both fractions have unequal denominators, 2/7 plus 1/31 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/31 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 31. 217 is the LCM of 7 and 31. Multiplying the LCM 217 with the numerators and denominators of both fractions (2/7 x 217/217) + (1/31 x 217/217), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 62/217 and for 1/31 is 7/217. By simplifying this fraction addition 62/217 + 7/217, it becomes 69/217.

Pie Chart Representation: 2/7 + 1/31 = 69/217

CALCULATION: 2/7 + 1/31 as a fraction
2/7 + 1/31 = (?)
2/7 + 1/31 = [(2 x 31) + (1 x 7)]/(7 x 31)
= (62 + 7)/217
= 69/217
2/7 + 1/31 = 69/217
2/7 plus 1/31 as a fraction is 69/217.

where
2/7 is a proper fraction as an addend,
1/31 is a proper fraction as an addend,
69/217 is the sum of 2/7 and 1/31.

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2/7 plus 1/31 as a decimal
2/7 + 1/31 = 69/217
69/217 = 0.318
(2/7) + (1/31) as a decimal is 0.318

where
0.318 is the sum of 2/7 and 1/31.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/31 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/31 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/7) + (1/31) using LCM Method:
What is 2/7 plus 1/31 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/31

What to be found?
(2/7) + (1/31) = ?
Find what's the sum of 2/7 and 1/31.

step 2 Compare the denominators of fractions 2/7 and 1/31 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/31 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 2/7 and 1/31:
The LCM of 7 and 31 is 217.

step 4 Write the fractions 2/7 and 1/31 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/31
= [(2 x 217)/(7 x 217)] + [(1 x 217)/(31 x 217)]

step 5 Simplify the expression to have common denominator:
= 62/217 + 7/217

step 6 Take the common values out and rewrite the above expression like the below:
= 1/217 x (62/1 + 7/1)
= 1/217 x (62 + 7)

step 7Simplify the above expression further:
= 1/217 x 69
= 69/217
2/7 + 1/31 = 69/217

Hence,
2/7 plus 1/31 as a fraction is 69/217.

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2/7 + 1/31 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/31

What to be found?
(2/7)+(1/31) = ?
Find what's the sum of 2/7 and 1/31.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 31), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 31) and rewrite the equation as like the below:
= (2 x 31) + (1 x 7)/(7 x 31)

step 3 Simplify and rewrite the fraction:
= (62 + 7)/217
2/7 + 1/31 = 69/217

Hence,
2/7 plus 1/31 in fraction is 69/217