13/6 + 5 as a fraction

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

Summary: 13/6 plus 5 = 43/6
Since both fractions have unequal denominators, 13/6 plus 5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/6 and fraction 5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 1. 6 is the LCM of 6 and 1. Multiplying the LCM 6 with the numerators and denominators of both fractions (13/6 x 6/6) + (5 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 13/6 is 13/6 and for 5 is 30/6. By simplifying this fraction addition 13/6 + 30/6, it becomes 43/6.

CALCULATION: 13/6 + 5 as a fraction
13/6 + 5 = (?)
13/6 + 5/1 = [(13 x 1) + (5 x 6)]/(6 x 1)
= (13 + 30)/6
= 43/6
13/6 + 5 = 43/6
13/6 plus 5 as a fraction is 43/6.

where
13/6 is a improper fraction as an addend,
5 is a whole number as an addend,
43/6 is the sum of 13/6 and 5.

---

13/6 plus 5 as a decimal
13/6 + 5 = 43/6
43/6 = 7.1667
(13/6) + (5) as a decimal is 7.1667

where
7.1667 is the sum of 13/6 and 5.

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

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

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

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

step 2 Compare the denominators of fractions 13/6 and 5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/6 and 5 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 5:
The LCM of 6 and 1 is 6.

step 4 Write the fractions 13/6 and 5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/6 + 5
= [(13 x 6)/(6 x 6)] + [(5 x 6)/(1 x 6)]

step 5 Simplify the expression to have common denominator:
= 13/6 + 30/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (13/1 + 30/1)
= 1/6 x (13 + 30)

step 7Simplify the above expression further:
= 1/6 x 43
= 43/6
13/6 + 5 = 43/6

Hence,
13/6 plus 5 as a fraction is 43/6.

---

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 1) and rewrite the equation as like the below:
= (13 x 1) + (5 x 6)/(6 x 1)

step 3 Simplify and rewrite the fraction:
= (13 + 30)/6
13/6 + 5 = 43/6

Hence,
13/6 plus 5 in fraction is 43/6