5/2 + 13/9 as a fraction

Learn how to find what is 5/2 plus 13/9 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 + 13/9 as a fraction and decimal.

Summary: 5/2 plus 13/9 = 71/18
Since both fractions have unequal denominators, 5/2 plus 13/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/2 and fraction 13/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 9. 18 is the LCM of 2 and 9. Multiplying the LCM 18 with the numerators and denominators of both fractions (5/2 x 18/18) + (13/9 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 5/2 is 45/18 and for 13/9 is 26/18. By simplifying this fraction addition 45/18 + 26/18, it becomes 71/18.

CALCULATION: 5/2 + 13/9 as a fraction
5/2 + 13/9 = (?)
5/2 + 13/9 = [(5 x 9) + (13 x 2)]/(2 x 9)
= (45 + 26)/18
= 71/18
5/2 + 13/9 = 71/18
5/2 plus 13/9 as a fraction is 71/18.

where
5/2 is a improper fraction as an addend,
13/9 is a improper fraction as an addend,
71/18 is the sum of 5/2 and 13/9.

---

5/2 plus 13/9 as a decimal
5/2 + 13/9 = 71/18
71/18 = 3.9444
(5/2) + (13/9) as a decimal is 3.9444

where
3.9444 is the sum of 5/2 and 13/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/2 and 13/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/2 plus 13/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/2) + (13/9) using LCM Method:
What is 5/2 plus 13/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 13/9

What to be found?
(5/2) + (13/9) = ?
Find what's the sum of 5/2 and 13/9.

step 2 Compare the denominators of fractions 5/2 and 13/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/2 and 13/9 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 5/2 and 13/9:
The LCM of 2 and 9 is 18.

step 4 Write the fractions 5/2 and 13/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/2 + 13/9
= [(5 x 18)/(2 x 18)] + [(13 x 18)/(9 x 18)]

step 5 Simplify the expression to have common denominator:
= 45/18 + 26/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (45/1 + 26/1)
= 1/18 x (45 + 26)

step 7Simplify the above expression further:
= 1/18 x 71
= 71/18
5/2 + 13/9 = 71/18

Hence,
5/2 plus 13/9 as a fraction is 71/18.

---

5/2 + 13/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 13/9

What to be found?
(5/2)+(13/9) = ?
Find what's the sum of 5/2 and 13/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 9), find the product of numerator of Fraction B and denominator of Fraction A (13 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 9) and rewrite the equation as like the below:
= (5 x 9) + (13 x 2)/(2 x 9)

step 3 Simplify and rewrite the fraction:
= (45 + 26)/18
5/2 + 13/9 = 71/18

Hence,
5/2 plus 13/9 in fraction is 71/18