2/7 + 1/37 as a fraction

Learn how to find what is 2/7 plus 1/37 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/37 as a fraction and decimal.

Summary: 2/7 plus 1/37 = 81/259
Since both fractions have unequal denominators, 2/7 plus 1/37 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/37 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 37. 259 is the LCM of 7 and 37. Multiplying the LCM 259 with the numerators and denominators of both fractions (2/7 x 259/259) + (1/37 x 259/259), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 74/259 and for 1/37 is 7/259. By simplifying this fraction addition 74/259 + 7/259, it becomes 81/259.

Pie Chart Representation: 2/7 + 1/37 = 81/259

CALCULATION: 2/7 + 1/37 as a fraction
2/7 + 1/37 = (?)
2/7 + 1/37 = [(2 x 37) + (1 x 7)]/(7 x 37)
= (74 + 7)/259
= 81/259
2/7 + 1/37 = 81/259
2/7 plus 1/37 as a fraction is 81/259.

where
2/7 is a proper fraction as an addend,
1/37 is a proper fraction as an addend,
81/259 is the sum of 2/7 and 1/37.

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2/7 plus 1/37 as a decimal
2/7 + 1/37 = 81/259
81/259 = 0.3127
(2/7) + (1/37) as a decimal is 0.3127

where
0.3127 is the sum of 2/7 and 1/37.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/37 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/37 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/7) + (1/37) using LCM Method:
What is 2/7 plus 1/37 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/37

What to be found?
(2/7) + (1/37) = ?
Find what's the sum of 2/7 and 1/37.

step 2 Compare the denominators of fractions 2/7 and 1/37 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/37 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 1/37:
The LCM of 7 and 37 is 259.

step 4 Write the fractions 2/7 and 1/37 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/37
= [(2 x 259)/(7 x 259)] + [(1 x 259)/(37 x 259)]

step 5 Simplify the expression to have common denominator:
= 74/259 + 7/259

step 6 Take the common values out and rewrite the above expression like the below:
= 1/259 x (74/1 + 7/1)
= 1/259 x (74 + 7)

step 7Simplify the above expression further:
= 1/259 x 81
= 81/259
2/7 + 1/37 = 81/259

Hence,
2/7 plus 1/37 as a fraction is 81/259.

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2/7 + 1/37 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/37

What to be found?
(2/7)+(1/37) = ?
Find what's the sum of 2/7 and 1/37.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 37), 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 37) and rewrite the equation as like the below:
= (2 x 37) + (1 x 7)/(7 x 37)

step 3 Simplify and rewrite the fraction:
= (74 + 7)/259
2/7 + 1/37 = 81/259

Hence,
2/7 plus 1/37 in fraction is 81/259