13/4 + 8/13 as a fraction

Learn how to find what is 13/4 plus 8/13 in fraction form just in a few minutes. We have covered the easiest method to write 13/4 + 8/13 as a fraction and decimal.

Summary: 13/4 plus 8/13 = 201/52
Since both fractions have unequal denominators, 13/4 plus 8/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/4 and fraction 8/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 13. 52 is the LCM of 4 and 13. Multiplying the LCM 52 with the numerators and denominators of both fractions (13/4 x 52/52) + (8/13 x 52/52), and simplify further in order to have the common denominator. So the equivalent fraction for 13/4 is 169/52 and for 8/13 is 32/52. By simplifying this fraction addition 169/52 + 32/52, it becomes 201/52.

CALCULATION: 13/4 + 8/13 as a fraction
13/4 + 8/13 = (?)
13/4 + 8/13 = [(13 x 13) + (8 x 4)]/(4 x 13)
= (169 + 32)/52
= 201/52
13/4 + 8/13 = 201/52
13/4 plus 8/13 as a fraction is 201/52.

where
13/4 is a improper fraction as an addend,
8/13 is a proper fraction as an addend,
201/52 is the sum of 13/4 and 8/13.

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13/4 plus 8/13 as a decimal
13/4 + 8/13 = 201/52
201/52 = 3.8654
(13/4) + (8/13) as a decimal is 3.8654

where
3.8654 is the sum of 13/4 and 8/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/4 and 8/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/4 plus 8/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/4) + (8/13) using LCM Method:
What is 13/4 plus 8/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 8/13

What to be found?
(13/4) + (8/13) = ?
Find what's the sum of 13/4 and 8/13.

step 2 Compare the denominators of fractions 13/4 and 8/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/4 and 8/13 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 13/4 and 8/13:
The LCM of 4 and 13 is 52.

step 4 Write the fractions 13/4 and 8/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/4 + 8/13
= [(13 x 52)/(4 x 52)] + [(8 x 52)/(13 x 52)]

step 5 Simplify the expression to have common denominator:
= 169/52 + 32/52

step 6 Take the common values out and rewrite the above expression like the below:
= 1/52 x (169/1 + 32/1)
= 1/52 x (169 + 32)

step 7Simplify the above expression further:
= 1/52 x 201
= 201/52
13/4 + 8/13 = 201/52

Hence,
13/4 plus 8/13 as a fraction is 201/52.

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13/4 + 8/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 8/13

What to be found?
(13/4)+(8/13) = ?
Find what's the sum of 13/4 and 8/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 13), find the product of numerator of Fraction B and denominator of Fraction A (8 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 13) and rewrite the equation as like the below:
= (13 x 13) + (8 x 4)/(4 x 13)

step 3 Simplify and rewrite the fraction:
= (169 + 32)/52
13/4 + 8/13 = 201/52

Hence,
13/4 plus 8/13 in fraction is 201/52