2/5 + 1/38 as a fraction

Learn how to find what is 2/5 plus 1/38 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/38 as a fraction and decimal.

Summary: 2/5 plus 1/38 = 81/190
Since both fractions have unequal denominators, 2/5 plus 1/38 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/38 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 38. 190 is the LCM of 5 and 38. Multiplying the LCM 190 with the numerators and denominators of both fractions (2/5 x 190/190) + (1/38 x 190/190), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 76/190 and for 1/38 is 5/190. By simplifying this fraction addition 76/190 + 5/190, it becomes 81/190.

Pie Chart Representation: 2/5 + 1/38 = 81/190

CALCULATION: 2/5 + 1/38 as a fraction
2/5 + 1/38 = (?)
2/5 + 1/38 = [(2 x 38) + (1 x 5)]/(5 x 38)
= (76 + 5)/190
= 81/190
2/5 + 1/38 = 81/190
2/5 plus 1/38 as a fraction is 81/190.

where
2/5 is a proper fraction as an addend,
1/38 is a proper fraction as an addend,
81/190 is the sum of 2/5 and 1/38.

---

2/5 plus 1/38 as a decimal
2/5 + 1/38 = 81/190
81/190 = 0.4263
(2/5) + (1/38) as a decimal is 0.4263

where
0.4263 is the sum of 2/5 and 1/38.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/38 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/38 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/38) using LCM Method:
What is 2/5 plus 1/38 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/38

What to be found?
(2/5) + (1/38) = ?
Find what's the sum of 2/5 and 1/38.

step 2 Compare the denominators of fractions 2/5 and 1/38 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 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 2/5 and 1/38:
The LCM of 5 and 38 is 190.

step 4 Write the fractions 2/5 and 1/38 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/38
= [(2 x 190)/(5 x 190)] + [(1 x 190)/(38 x 190)]

step 5 Simplify the expression to have common denominator:
= 76/190 + 5/190

step 6 Take the common values out and rewrite the above expression like the below:
= 1/190 x (76/1 + 5/1)
= 1/190 x (76 + 5)

step 7Simplify the above expression further:
= 1/190 x 81
= 81/190
2/5 + 1/38 = 81/190

Hence,
2/5 plus 1/38 as a fraction is 81/190.

---

2/5 + 1/38 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/38

What to be found?
(2/5)+(1/38) = ?
Find what's the sum of 2/5 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 5), and find the product of both denominators of Fraction A and Fraction B (5 x 38) and rewrite the equation as like the below:
= (2 x 38) + (1 x 5)/(5 x 38)

step 3 Simplify and rewrite the fraction:
= (76 + 5)/190
2/5 + 1/38 = 81/190

Hence,
2/5 plus 1/38 in fraction is 81/190