1/7 + 2/38 as a fraction

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

Summary: 1/7 plus 2/38 = 26/133
Since both fractions have unequal denominators, 1/7 plus 2/38 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/38 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 (1/7 x 266/266) + (2/38 x 266/266), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 38/266 and for 2/38 is 14/266. By simplifying this fraction addition 38/266 + 14/266, it becomes 52/266.

Pie Chart Representation: 1/7 + 2/38 = 26/133

CALCULATION: 1/7 + 2/38 as a fraction
1/7 + 2/38 = (?)
1/7 + 2/38 = [(1 x 38) + (2 x 7)]/(7 x 38)
= (38 + 14)/266
= 52/266
= (2 x 26)/(2 x 133)
= 26/133
1/7 + 2/38 = 26/133
1/7 plus 2/38 as a fraction is 26/133.

where
1/7 is a proper fraction as an addend,
2/38 is a proper fraction as an addend,
26/133 is the sum of 1/7 and 2/38.

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1/7 plus 2/38 as a decimal
1/7 + 2/38 = 26/133
26/133 = 0.1955
(1/7) + (2/38) as a decimal is 0.1955

where
0.1955 is the sum of 1/7 and 2/38.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 38/266 + 14/266

step 6 Take the common values out and rewrite the above expression like the below:
= 1/266 x (38/1 + 14/1)
= 1/266 x (38 + 14)

step 7Simplify the above expression further:
= 1/266 x 52
= 52/266
= 26/133
1/7 + 2/38 = 26/133

Hence,
1/7 plus 2/38 as a fraction is 26/133.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 38), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (1 x 38) + (2 x 7)/(7 x 38)

step 3 Simplify and rewrite the fraction:
= (38 + 14)/266
= 52/266
= 26/133
1/7 + 2/38 = 26/133

Hence,
1/7 plus 2/38 in fraction is 26/133