1/4 + 2/52 as a fraction

Learn how to find what is 1/4 plus 2/52 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/52 as a fraction and decimal.

Summary: 1/4 plus 2/52 = 15/52
Since both fractions have unequal denominators, 1/4 plus 2/52 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/52 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 52. 52 is the LCM of 4 and 52. Multiplying the LCM 52 with the numerators and denominators of both fractions (1/4 x 52/52) + (2/52 x 52/52), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 13/52 and for 2/52 is 2/52. By simplifying this fraction addition 13/52 + 2/52, it becomes 15/52.

Pie Chart Representation: 1/4 + 2/52 = 15/52

CALCULATION: 1/4 + 2/52 as a fraction
1/4 + 2/52 = (?)
1/4 + 2/52 = [(1 x 52) + (2 x 4)]/(4 x 52)
= (52 + 8)/208
= 60/208
= (4 x 15)/(4 x 52)
= 15/52
1/4 + 2/52 = 15/52
1/4 plus 2/52 as a fraction is 15/52.

where
1/4 is a proper fraction as an addend,
2/52 is a proper fraction as an addend,
15/52 is the sum of 1/4 and 2/52.

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1/4 plus 2/52 as a decimal
1/4 + 2/52 = 15/52
15/52 = 0.2885
(1/4) + (2/52) as a decimal is 0.2885

where
0.2885 is the sum of 1/4 and 2/52.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/52 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/52 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/52) using LCM Method:
What is 1/4 plus 2/52 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/52

What to be found?
(1/4) + (2/52) = ?
Find what's the sum of 1/4 and 2/52.

step 2 Compare the denominators of fractions 1/4 and 2/52 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/52 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 1/4 and 2/52:
The LCM of 4 and 52 is 52.

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

step 5 Simplify the expression to have common denominator:
= 13/52 + 2/52

step 6 Take the common values out and rewrite the above expression like the below:
= 1/52 x (13/1 + 2/1)
= 1/52 x (13 + 2)

step 7Simplify the above expression further:
= 1/52 x 15
= 15/52
1/4 + 2/52 = 15/52

Hence,
1/4 plus 2/52 as a fraction is 15/52.

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1/4 + 2/52 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/52

What to be found?
(1/4)+(2/52) = ?
Find what's the sum of 1/4 and 2/52.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 52), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 52) and rewrite the equation as like the below:
= (1 x 52) + (2 x 4)/(4 x 52)

step 3 Simplify and rewrite the fraction:
= (52 + 8)/208
= 60/208
= 15/52
1/4 + 2/52 = 15/52

Hence,
1/4 plus 2/52 in fraction is 15/52