13/2 + 11/13 as a fraction

Learn how to find what is 13/2 plus 11/13 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 + 11/13 as a fraction and decimal.

Summary: 13/2 plus 11/13 = 191/26
Since both fractions have unequal denominators, 13/2 plus 11/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 11/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 13. 26 is the LCM of 2 and 13. Multiplying the LCM 26 with the numerators and denominators of both fractions (13/2 x 26/26) + (11/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 169/26 and for 11/13 is 22/26. By simplifying this fraction addition 169/26 + 22/26, it becomes 191/26.

CALCULATION: 13/2 + 11/13 as a fraction
13/2 + 11/13 = (?)
13/2 + 11/13 = [(13 x 13) + (11 x 2)]/(2 x 13)
= (169 + 22)/26
= 191/26
13/2 + 11/13 = 191/26
13/2 plus 11/13 as a fraction is 191/26.

where
13/2 is a improper fraction as an addend,
11/13 is a proper fraction as an addend,
191/26 is the sum of 13/2 and 11/13.

---

13/2 plus 11/13 as a decimal
13/2 + 11/13 = 191/26
191/26 = 7.3462
(13/2) + (11/13) as a decimal is 7.3462

where
7.3462 is the sum of 13/2 and 11/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/2 and 11/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/2 plus 11/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/2) + (11/13) using LCM Method:
What is 13/2 plus 11/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 11/13

What to be found?
(13/2) + (11/13) = ?
Find what's the sum of 13/2 and 11/13.

step 2 Compare the denominators of fractions 13/2 and 11/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/2 and 11/13 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 13/2 and 11/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 13/2 and 11/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 + 11/13
= [(13 x 26)/(2 x 26)] + [(11 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 169/26 + 22/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (169/1 + 22/1)
= 1/26 x (169 + 22)

step 7Simplify the above expression further:
= 1/26 x 191
= 191/26
13/2 + 11/13 = 191/26

Hence,
13/2 plus 11/13 as a fraction is 191/26.

---

13/2 + 11/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 11/13

What to be found?
(13/2)+(11/13) = ?
Find what's the sum of 13/2 and 11/13.

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 (11 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 13) and rewrite the equation as like the below:
= (13 x 13) + (11 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (169 + 22)/26
13/2 + 11/13 = 191/26

Hence,
13/2 plus 11/13 in fraction is 191/26