13/6 + 4/13 as a fraction

Learn how to find what is 13/6 plus 4/13 in fraction form just in a few minutes. We have covered the easiest method to write 13/6 + 4/13 as a fraction and decimal.

Summary: 13/6 plus 4/13 = 193/78
Since both fractions have unequal denominators, 13/6 plus 4/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/6 and fraction 4/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 13. 78 is the LCM of 6 and 13. Multiplying the LCM 78 with the numerators and denominators of both fractions (13/6 x 78/78) + (4/13 x 78/78), and simplify further in order to have the common denominator. So the equivalent fraction for 13/6 is 169/78 and for 4/13 is 24/78. By simplifying this fraction addition 169/78 + 24/78, it becomes 193/78.

CALCULATION: 13/6 + 4/13 as a fraction
13/6 + 4/13 = (?)
13/6 + 4/13 = [(13 x 13) + (4 x 6)]/(6 x 13)
= (169 + 24)/78
= 193/78
13/6 + 4/13 = 193/78
13/6 plus 4/13 as a fraction is 193/78.

where
13/6 is a improper fraction as an addend,
4/13 is a proper fraction as an addend,
193/78 is the sum of 13/6 and 4/13.

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13/6 plus 4/13 as a decimal
13/6 + 4/13 = 193/78
193/78 = 2.4744
(13/6) + (4/13) as a decimal is 2.4744

where
2.4744 is the sum of 13/6 and 4/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/6 and 4/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/6 plus 4/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/6) + (4/13) using LCM Method:
What is 13/6 plus 4/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/6
Fraction B: 4/13

What to be found?
(13/6) + (4/13) = ?
Find what's the sum of 13/6 and 4/13.

step 2 Compare the denominators of fractions 13/6 and 4/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/6 and 4/13 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 13/6 and 4/13:
The LCM of 6 and 13 is 78.

step 4 Write the fractions 13/6 and 4/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/6 + 4/13
= [(13 x 78)/(6 x 78)] + [(4 x 78)/(13 x 78)]

step 5 Simplify the expression to have common denominator:
= 169/78 + 24/78

step 6 Take the common values out and rewrite the above expression like the below:
= 1/78 x (169/1 + 24/1)
= 1/78 x (169 + 24)

step 7Simplify the above expression further:
= 1/78 x 193
= 193/78
13/6 + 4/13 = 193/78

Hence,
13/6 plus 4/13 as a fraction is 193/78.

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13/6 + 4/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/6
Fraction B: 4/13

What to be found?
(13/6)+(4/13) = ?
Find what's the sum of 13/6 and 4/13.

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 (4 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 13) and rewrite the equation as like the below:
= (13 x 13) + (4 x 6)/(6 x 13)

step 3 Simplify and rewrite the fraction:
= (169 + 24)/78
13/6 + 4/13 = 193/78

Hence,
13/6 plus 4/13 in fraction is 193/78