2/4 + 1/38 as a fraction

Learn how to find what is 2/4 plus 1/38 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 1/38 as a fraction and decimal.

Summary: 2/4 plus 1/38 = 10/19
Since both fractions have unequal denominators, 2/4 plus 1/38 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/38 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 38. 76 is the LCM of 4 and 38. Multiplying the LCM 76 with the numerators and denominators of both fractions (2/4 x 76/76) + (1/38 x 76/76), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 38/76 and for 1/38 is 2/76. By simplifying this fraction addition 38/76 + 2/76, it becomes 40/76.

Pie Chart Representation: 2/4 + 1/38 = 10/19

CALCULATION: 2/4 + 1/38 as a fraction
2/4 + 1/38 = (?)
2/4 + 1/38 = [(2 x 38) + (1 x 4)]/(4 x 38)
= (76 + 4)/152
= 80/152
= (8 x 10)/(8 x 19)
= 10/19
2/4 + 1/38 = 10/19
2/4 plus 1/38 as a fraction is 10/19.

where
2/4 is a proper fraction as an addend,
1/38 is a proper fraction as an addend,
10/19 is the sum of 2/4 and 1/38.

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2/4 plus 1/38 as a decimal
2/4 + 1/38 = 10/19
10/19 = 0.5263
(2/4) + (1/38) as a decimal is 0.5263

where
0.5263 is the sum of 2/4 and 1/38.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 1/38 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 1/38 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/4) + (1/38) using LCM Method:
What is 2/4 plus 1/38 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/38

What to be found?
(2/4) + (1/38) = ?
Find what's the sum of 2/4 and 1/38.

step 2 Compare the denominators of fractions 2/4 and 1/38 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 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 2/4 and 1/38:
The LCM of 4 and 38 is 76.

step 4 Write the fractions 2/4 and 1/38 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 + 1/38
= [(2 x 76)/(4 x 76)] + [(1 x 76)/(38 x 76)]

step 5 Simplify the expression to have common denominator:
= 38/76 + 2/76

step 6 Take the common values out and rewrite the above expression like the below:
= 1/76 x (38/1 + 2/1)
= 1/76 x (38 + 2)

step 7Simplify the above expression further:
= 1/76 x 40
= 40/76
= 10/19
2/4 + 1/38 = 10/19

Hence,
2/4 plus 1/38 as a fraction is 10/19.

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2/4 + 1/38 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/38

What to be found?
(2/4)+(1/38) = ?
Find what's the sum of 2/4 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 4), and find the product of both denominators of Fraction A and Fraction B (4 x 38) and rewrite the equation as like the below:
= (2 x 38) + (1 x 4)/(4 x 38)

step 3 Simplify and rewrite the fraction:
= (76 + 4)/152
= 80/152
= 10/19
2/4 + 1/38 = 10/19

Hence,
2/4 plus 1/38 in fraction is 10/19