13/5 + 13/6 as a fraction

Learn how to find what is 13/5 plus 13/6 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 + 13/6 as a fraction and decimal.

Summary: 13/5 plus 13/6 = 143/30
Since both fractions have unequal denominators, 13/5 plus 13/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 13/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 6. 30 is the LCM of 5 and 6. Multiplying the LCM 30 with the numerators and denominators of both fractions (13/5 x 30/30) + (13/6 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 78/30 and for 13/6 is 65/30. By simplifying this fraction addition 78/30 + 65/30, it becomes 143/30.

CALCULATION: 13/5 + 13/6 as a fraction
13/5 + 13/6 = (?)
13/5 + 13/6 = [(13 x 6) + (13 x 5)]/(5 x 6)
= (78 + 65)/30
= 143/30
13/5 + 13/6 = 143/30
13/5 plus 13/6 as a fraction is 143/30.

where
13/5 is a improper fraction as an addend,
13/6 is a improper fraction as an addend,
143/30 is the sum of 13/5 and 13/6.

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13/5 plus 13/6 as a decimal
13/5 + 13/6 = 143/30
143/30 = 4.7667
(13/5) + (13/6) as a decimal is 4.7667

where
4.7667 is the sum of 13/5 and 13/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/5 and 13/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/5 plus 13/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/5) + (13/6) using LCM Method:
What is 13/5 plus 13/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 13/6

What to be found?
(13/5) + (13/6) = ?
Find what's the sum of 13/5 and 13/6.

step 2 Compare the denominators of fractions 13/5 and 13/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/5 and 13/6 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 13/5 and 13/6:
The LCM of 5 and 6 is 30.

step 4 Write the fractions 13/5 and 13/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 + 13/6
= [(13 x 30)/(5 x 30)] + [(13 x 30)/(6 x 30)]

step 5 Simplify the expression to have common denominator:
= 78/30 + 65/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (78/1 + 65/1)
= 1/30 x (78 + 65)

step 7Simplify the above expression further:
= 1/30 x 143
= 143/30
13/5 + 13/6 = 143/30

Hence,
13/5 plus 13/6 as a fraction is 143/30.

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13/5 + 13/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 13/6

What to be found?
(13/5)+(13/6) = ?
Find what's the sum of 13/5 and 13/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 6), find the product of numerator of Fraction B and denominator of Fraction A (13 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 6) and rewrite the equation as like the below:
= (13 x 6) + (13 x 5)/(5 x 6)

step 3 Simplify and rewrite the fraction:
= (78 + 65)/30
13/5 + 13/6 = 143/30

Hence,
13/5 plus 13/6 in fraction is 143/30