1/9 + 2/38 as a fraction

Learn how to find what is 1/9 plus 2/38 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/38 as a fraction and decimal.

Summary: 1/9 plus 2/38 = 28/171
Since both fractions have unequal denominators, 1/9 plus 2/38 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/38 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 38. 342 is the LCM of 9 and 38. Multiplying the LCM 342 with the numerators and denominators of both fractions (1/9 x 342/342) + (2/38 x 342/342), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 38/342 and for 2/38 is 18/342. By simplifying this fraction addition 38/342 + 18/342, it becomes 56/342.

Pie Chart Representation: 1/9 + 2/38 = 28/171

CALCULATION: 1/9 + 2/38 as a fraction
1/9 + 2/38 = (?)
1/9 + 2/38 = [(1 x 38) + (2 x 9)]/(9 x 38)
= (38 + 18)/342
= 56/342
= (2 x 28)/(2 x 171)
= 28/171
1/9 + 2/38 = 28/171
1/9 plus 2/38 as a fraction is 28/171.

where
1/9 is a proper fraction as an addend,
2/38 is a proper fraction as an addend,
28/171 is the sum of 1/9 and 2/38.

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1/9 plus 2/38 as a decimal
1/9 + 2/38 = 28/171
28/171 = 0.1637
(1/9) + (2/38) as a decimal is 0.1637

where
0.1637 is the sum of 1/9 and 2/38.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/38 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/38 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (2/38) using LCM Method:
What is 1/9 plus 2/38 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/38

What to be found?
(1/9) + (2/38) = ?
Find what's the sum of 1/9 and 2/38.

step 2 Compare the denominators of fractions 1/9 and 2/38 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 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 1/9 and 2/38:
The LCM of 9 and 38 is 342.

step 4 Write the fractions 1/9 and 2/38 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/38
= [(1 x 342)/(9 x 342)] + [(2 x 342)/(38 x 342)]

step 5 Simplify the expression to have common denominator:
= 38/342 + 18/342

step 6 Take the common values out and rewrite the above expression like the below:
= 1/342 x (38/1 + 18/1)
= 1/342 x (38 + 18)

step 7Simplify the above expression further:
= 1/342 x 56
= 56/342
= 28/171
1/9 + 2/38 = 28/171

Hence,
1/9 plus 2/38 as a fraction is 28/171.

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1/9 + 2/38 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/38

What to be found?
(1/9)+(2/38) = ?
Find what's the sum of 1/9 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 9), and find the product of both denominators of Fraction A and Fraction B (9 x 38) and rewrite the equation as like the below:
= (1 x 38) + (2 x 9)/(9 x 38)

step 3 Simplify and rewrite the fraction:
= (38 + 18)/342
= 56/342
= 28/171
1/9 + 2/38 = 28/171

Hence,
1/9 plus 2/38 in fraction is 28/171