2/9 + 1/38 as a fraction

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

Summary: 2/9 plus 1/38 = 85/342
Since both fractions have unequal denominators, 2/9 plus 1/38 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/38 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 (2/9 x 342/342) + (1/38 x 342/342), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 76/342 and for 1/38 is 9/342. By simplifying this fraction addition 76/342 + 9/342, it becomes 85/342.

Pie Chart Representation: 2/9 + 1/38 = 85/342

CALCULATION: 2/9 + 1/38 as a fraction
2/9 + 1/38 = (?)
2/9 + 1/38 = [(2 x 38) + (1 x 9)]/(9 x 38)
= (76 + 9)/342
= 85/342
2/9 + 1/38 = 85/342
2/9 plus 1/38 as a fraction is 85/342.

where
2/9 is a proper fraction as an addend,
1/38 is a proper fraction as an addend,
85/342 is the sum of 2/9 and 1/38.

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2/9 plus 1/38 as a decimal
2/9 + 1/38 = 85/342
85/342 = 0.2485
(2/9) + (1/38) as a decimal is 0.2485

where
0.2485 is the sum of 2/9 and 1/38.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 76/342 + 9/342

step 6 Take the common values out and rewrite the above expression like the below:
= 1/342 x (76/1 + 9/1)
= 1/342 x (76 + 9)

step 7Simplify the above expression further:
= 1/342 x 85
= 85/342
2/9 + 1/38 = 85/342

Hence,
2/9 plus 1/38 as a fraction is 85/342.

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

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

step 3 Simplify and rewrite the fraction:
= (76 + 9)/342
2/9 + 1/38 = 85/342

Hence,
2/9 plus 1/38 in fraction is 85/342