13/9 + 12/11 as a fraction

Learn how to find what is 13/9 plus 12/11 in fraction form just in a few minutes. We have covered the easiest method to write 13/9 + 12/11 as a fraction and decimal.

Summary: 13/9 plus 12/11 = 251/99
Since both fractions have unequal denominators, 13/9 plus 12/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/9 and fraction 12/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 11. 99 is the LCM of 9 and 11. Multiplying the LCM 99 with the numerators and denominators of both fractions (13/9 x 99/99) + (12/11 x 99/99), and simplify further in order to have the common denominator. So the equivalent fraction for 13/9 is 143/99 and for 12/11 is 108/99. By simplifying this fraction addition 143/99 + 108/99, it becomes 251/99.

CALCULATION: 13/9 + 12/11 as a fraction
13/9 + 12/11 = (?)
13/9 + 12/11 = [(13 x 11) + (12 x 9)]/(9 x 11)
= (143 + 108)/99
= 251/99
13/9 + 12/11 = 251/99
13/9 plus 12/11 as a fraction is 251/99.

where
13/9 is a improper fraction as an addend,
12/11 is a improper fraction as an addend,
251/99 is the sum of 13/9 and 12/11.

---

13/9 plus 12/11 as a decimal
13/9 + 12/11 = 251/99
251/99 = 2.5354
(13/9) + (12/11) as a decimal is 2.5354

where
2.5354 is the sum of 13/9 and 12/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/9 and 12/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/9 plus 12/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/9) + (12/11) using LCM Method:
What is 13/9 plus 12/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/9
Fraction B: 12/11

What to be found?
(13/9) + (12/11) = ?
Find what's the sum of 13/9 and 12/11.

step 2 Compare the denominators of fractions 13/9 and 12/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/9 and 12/11 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 13/9 and 12/11:
The LCM of 9 and 11 is 99.

step 4 Write the fractions 13/9 and 12/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/9 + 12/11
= [(13 x 99)/(9 x 99)] + [(12 x 99)/(11 x 99)]

step 5 Simplify the expression to have common denominator:
= 143/99 + 108/99

step 6 Take the common values out and rewrite the above expression like the below:
= 1/99 x (143/1 + 108/1)
= 1/99 x (143 + 108)

step 7Simplify the above expression further:
= 1/99 x 251
= 251/99
13/9 + 12/11 = 251/99

Hence,
13/9 plus 12/11 as a fraction is 251/99.

---

13/9 + 12/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/9
Fraction B: 12/11

What to be found?
(13/9)+(12/11) = ?
Find what's the sum of 13/9 and 12/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 11), find the product of numerator of Fraction B and denominator of Fraction A (12 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 11) and rewrite the equation as like the below:
= (13 x 11) + (12 x 9)/(9 x 11)

step 3 Simplify and rewrite the fraction:
= (143 + 108)/99
13/9 + 12/11 = 251/99

Hence,
13/9 plus 12/11 in fraction is 251/99