10/9 + 11/15 as a fraction

Learn how to find what is 10/9 plus 11/15 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 + 11/15 as a fraction and decimal.

Summary: 10/9 plus 11/15 = 83/45
Since both fractions have unequal denominators, 10/9 plus 11/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 11/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 15. 45 is the LCM of 9 and 15. Multiplying the LCM 45 with the numerators and denominators of both fractions (10/9 x 45/45) + (11/15 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 50/45 and for 11/15 is 33/45. By simplifying this fraction addition 50/45 + 33/45, it becomes 83/45.

CALCULATION: 10/9 + 11/15 as a fraction
10/9 + 11/15 = (?)
10/9 + 11/15 = [(10 x 15) + (11 x 9)]/(9 x 15)
= (150 + 99)/135
= 249/135
= (3 x 83)/(3 x 45)
= 83/45
10/9 + 11/15 = 83/45
10/9 plus 11/15 as a fraction is 83/45.

where
10/9 is a improper fraction as an addend,
11/15 is a proper fraction as an addend,
83/45 is the sum of 10/9 and 11/15.

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10/9 plus 11/15 as a decimal
10/9 + 11/15 = 83/45
83/45 = 1.8444
(10/9) + (11/15) as a decimal is 1.8444

where
1.8444 is the sum of 10/9 and 11/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/9 and 11/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/9 plus 11/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/9) + (11/15) using LCM Method:
What is 10/9 plus 11/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 11/15

What to be found?
(10/9) + (11/15) = ?
Find what's the sum of 10/9 and 11/15.

step 2 Compare the denominators of fractions 10/9 and 11/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/9 and 11/15 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 10/9 and 11/15:
The LCM of 9 and 15 is 45.

step 4 Write the fractions 10/9 and 11/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 + 11/15
= [(10 x 45)/(9 x 45)] + [(11 x 45)/(15 x 45)]

step 5 Simplify the expression to have common denominator:
= 50/45 + 33/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (50/1 + 33/1)
= 1/45 x (50 + 33)

step 7Simplify the above expression further:
= 1/45 x 83
= 83/45
10/9 + 11/15 = 83/45

Hence,
10/9 plus 11/15 as a fraction is 83/45.

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10/9 + 11/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 11/15

What to be found?
(10/9)+(11/15) = ?
Find what's the sum of 10/9 and 11/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 15), find the product of numerator of Fraction B and denominator of Fraction A (11 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 15) and rewrite the equation as like the below:
= (10 x 15) + (11 x 9)/(9 x 15)

step 3 Simplify and rewrite the fraction:
= (150 + 99)/135
= 249/135
= 83/45
10/9 + 11/15 = 83/45

Hence,
10/9 plus 11/15 in fraction is 83/45