11/5 + 5/9 as a fraction

Learn how to find what is 11/5 plus 5/9 in fraction form just in a few minutes. We have covered the easiest method to write 11/5 + 5/9 as a fraction and decimal.

Summary: 11/5 plus 5/9 = 124/45
Since both fractions have unequal denominators, 11/5 plus 5/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/5 and fraction 5/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 9. 45 is the LCM of 5 and 9. Multiplying the LCM 45 with the numerators and denominators of both fractions (11/5 x 45/45) + (5/9 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 11/5 is 99/45 and for 5/9 is 25/45. By simplifying this fraction addition 99/45 + 25/45, it becomes 124/45.

CALCULATION: 11/5 + 5/9 as a fraction
11/5 + 5/9 = (?)
11/5 + 5/9 = [(11 x 9) + (5 x 5)]/(5 x 9)
= (99 + 25)/45
= 124/45
11/5 + 5/9 = 124/45
11/5 plus 5/9 as a fraction is 124/45.

where
11/5 is a improper fraction as an addend,
5/9 is a proper fraction as an addend,
124/45 is the sum of 11/5 and 5/9.

---

11/5 plus 5/9 as a decimal
11/5 + 5/9 = 124/45
124/45 = 2.7556
(11/5) + (5/9) as a decimal is 2.7556

where
2.7556 is the sum of 11/5 and 5/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/5 and 5/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/5 plus 5/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/5) + (5/9) using LCM Method:
What is 11/5 plus 5/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 5/9

What to be found?
(11/5) + (5/9) = ?
Find what's the sum of 11/5 and 5/9.

step 2 Compare the denominators of fractions 11/5 and 5/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/5 and 5/9 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 11/5 and 5/9:
The LCM of 5 and 9 is 45.

step 4 Write the fractions 11/5 and 5/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/5 + 5/9
= [(11 x 45)/(5 x 45)] + [(5 x 45)/(9 x 45)]

step 5 Simplify the expression to have common denominator:
= 99/45 + 25/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (99/1 + 25/1)
= 1/45 x (99 + 25)

step 7Simplify the above expression further:
= 1/45 x 124
= 124/45
11/5 + 5/9 = 124/45

Hence,
11/5 plus 5/9 as a fraction is 124/45.

---

11/5 + 5/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/5
Fraction B: 5/9

What to be found?
(11/5)+(5/9) = ?
Find what's the sum of 11/5 and 5/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 9) and rewrite the equation as like the below:
= (11 x 9) + (5 x 5)/(5 x 9)

step 3 Simplify and rewrite the fraction:
= (99 + 25)/45
11/5 + 5/9 = 124/45

Hence,
11/5 plus 5/9 in fraction is 124/45