2/7 + 1/38 as a fraction

Learn how to find what is 2/7 plus 1/38 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/38 as a fraction and decimal.

Summary: 2/7 plus 1/38 = 83/266
Since both fractions have unequal denominators, 2/7 plus 1/38 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/38 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 38. 266 is the LCM of 7 and 38. Multiplying the LCM 266 with the numerators and denominators of both fractions (2/7 x 266/266) + (1/38 x 266/266), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 76/266 and for 1/38 is 7/266. By simplifying this fraction addition 76/266 + 7/266, it becomes 83/266.

Pie Chart Representation: 2/7 + 1/38 = 83/266

CALCULATION: 2/7 + 1/38 as a fraction
2/7 + 1/38 = (?)
2/7 + 1/38 = [(2 x 38) + (1 x 7)]/(7 x 38)
= (76 + 7)/266
= 83/266
2/7 + 1/38 = 83/266
2/7 plus 1/38 as a fraction is 83/266.

where
2/7 is a proper fraction as an addend,
1/38 is a proper fraction as an addend,
83/266 is the sum of 2/7 and 1/38.

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2/7 plus 1/38 as a decimal
2/7 + 1/38 = 83/266
83/266 = 0.312
(2/7) + (1/38) as a decimal is 0.312

where
0.312 is the sum of 2/7 and 1/38.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/38 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/38 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/7) + (1/38) using LCM Method:
What is 2/7 plus 1/38 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/38

What to be found?
(2/7) + (1/38) = ?
Find what's the sum of 2/7 and 1/38.

step 2 Compare the denominators of fractions 2/7 and 1/38 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/38 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 1/38:
The LCM of 7 and 38 is 266.

step 4 Write the fractions 2/7 and 1/38 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/38
= [(2 x 266)/(7 x 266)] + [(1 x 266)/(38 x 266)]

step 5 Simplify the expression to have common denominator:
= 76/266 + 7/266

step 6 Take the common values out and rewrite the above expression like the below:
= 1/266 x (76/1 + 7/1)
= 1/266 x (76 + 7)

step 7Simplify the above expression further:
= 1/266 x 83
= 83/266
2/7 + 1/38 = 83/266

Hence,
2/7 plus 1/38 as a fraction is 83/266.

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2/7 + 1/38 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/38

What to be found?
(2/7)+(1/38) = ?
Find what's the sum of 2/7 and 1/38.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 38), 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 38) and rewrite the equation as like the below:
= (2 x 38) + (1 x 7)/(7 x 38)

step 3 Simplify and rewrite the fraction:
= (76 + 7)/266
2/7 + 1/38 = 83/266

Hence,
2/7 plus 1/38 in fraction is 83/266