2/5 + 1/54 as a fraction

Learn how to find what is 2/5 plus 1/54 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/54 as a fraction and decimal.

Summary: 2/5 plus 1/54 = 113/270
Since both fractions have unequal denominators, 2/5 plus 1/54 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/54 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 54. 270 is the LCM of 5 and 54. Multiplying the LCM 270 with the numerators and denominators of both fractions (2/5 x 270/270) + (1/54 x 270/270), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 108/270 and for 1/54 is 5/270. By simplifying this fraction addition 108/270 + 5/270, it becomes 113/270.

Pie Chart Representation: 2/5 + 1/54 = 113/270

CALCULATION: 2/5 + 1/54 as a fraction
2/5 + 1/54 = (?)
2/5 + 1/54 = [(2 x 54) + (1 x 5)]/(5 x 54)
= (108 + 5)/270
= 113/270
2/5 + 1/54 = 113/270
2/5 plus 1/54 as a fraction is 113/270.

where
2/5 is a proper fraction as an addend,
1/54 is a proper fraction as an addend,
113/270 is the sum of 2/5 and 1/54.

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2/5 plus 1/54 as a decimal
2/5 + 1/54 = 113/270
113/270 = 0.4185
(2/5) + (1/54) as a decimal is 0.4185

where
0.4185 is the sum of 2/5 and 1/54.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/54 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/54 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/54) using LCM Method:
What is 2/5 plus 1/54 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/54

What to be found?
(2/5) + (1/54) = ?
Find what's the sum of 2/5 and 1/54.

step 2 Compare the denominators of fractions 2/5 and 1/54 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/54 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 1/54:
The LCM of 5 and 54 is 270.

step 4 Write the fractions 2/5 and 1/54 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/54
= [(2 x 270)/(5 x 270)] + [(1 x 270)/(54 x 270)]

step 5 Simplify the expression to have common denominator:
= 108/270 + 5/270

step 6 Take the common values out and rewrite the above expression like the below:
= 1/270 x (108/1 + 5/1)
= 1/270 x (108 + 5)

step 7Simplify the above expression further:
= 1/270 x 113
= 113/270
2/5 + 1/54 = 113/270

Hence,
2/5 plus 1/54 as a fraction is 113/270.

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2/5 + 1/54 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/54

What to be found?
(2/5)+(1/54) = ?
Find what's the sum of 2/5 and 1/54.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 54), 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 54) and rewrite the equation as like the below:
= (2 x 54) + (1 x 5)/(5 x 54)

step 3 Simplify and rewrite the fraction:
= (108 + 5)/270
2/5 + 1/54 = 113/270

Hence,
2/5 plus 1/54 in fraction is 113/270