2/5 + 1/52 as a fraction

Learn how to find what is 2/5 plus 1/52 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/52 as a fraction and decimal.

Summary: 2/5 plus 1/52 = 109/260
Since both fractions have unequal denominators, 2/5 plus 1/52 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/52 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 52. 260 is the LCM of 5 and 52. Multiplying the LCM 260 with the numerators and denominators of both fractions (2/5 x 260/260) + (1/52 x 260/260), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 104/260 and for 1/52 is 5/260. By simplifying this fraction addition 104/260 + 5/260, it becomes 109/260.

Pie Chart Representation: 2/5 + 1/52 = 109/260

CALCULATION: 2/5 + 1/52 as a fraction
2/5 + 1/52 = (?)
2/5 + 1/52 = [(2 x 52) + (1 x 5)]/(5 x 52)
= (104 + 5)/260
= 109/260
2/5 + 1/52 = 109/260
2/5 plus 1/52 as a fraction is 109/260.

where
2/5 is a proper fraction as an addend,
1/52 is a proper fraction as an addend,
109/260 is the sum of 2/5 and 1/52.

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2/5 plus 1/52 as a decimal
2/5 + 1/52 = 109/260
109/260 = 0.4192
(2/5) + (1/52) as a decimal is 0.4192

where
0.4192 is the sum of 2/5 and 1/52.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/52 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/52 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/52) using LCM Method:
What is 2/5 plus 1/52 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/52

What to be found?
(2/5) + (1/52) = ?
Find what's the sum of 2/5 and 1/52.

step 2 Compare the denominators of fractions 2/5 and 1/52 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/52 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 1/52:
The LCM of 5 and 52 is 260.

step 4 Write the fractions 2/5 and 1/52 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/52
= [(2 x 260)/(5 x 260)] + [(1 x 260)/(52 x 260)]

step 5 Simplify the expression to have common denominator:
= 104/260 + 5/260

step 6 Take the common values out and rewrite the above expression like the below:
= 1/260 x (104/1 + 5/1)
= 1/260 x (104 + 5)

step 7Simplify the above expression further:
= 1/260 x 109
= 109/260
2/5 + 1/52 = 109/260

Hence,
2/5 plus 1/52 as a fraction is 109/260.

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2/5 + 1/52 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/52

What to be found?
(2/5)+(1/52) = ?
Find what's the sum of 2/5 and 1/52.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 52), 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 52) and rewrite the equation as like the below:
= (2 x 52) + (1 x 5)/(5 x 52)

step 3 Simplify and rewrite the fraction:
= (104 + 5)/260
2/5 + 1/52 = 109/260

Hence,
2/5 plus 1/52 in fraction is 109/260