10/9 + 5/11 as a fraction

Learn how to find what is 10/9 plus 5/11 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 + 5/11 as a fraction and decimal.

Summary: 10/9 plus 5/11 = 155/99
Since both fractions have unequal denominators, 10/9 plus 5/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 5/11 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 (10/9 x 99/99) + (5/11 x 99/99), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 110/99 and for 5/11 is 45/99. By simplifying this fraction addition 110/99 + 45/99, it becomes 155/99.

CALCULATION: 10/9 + 5/11 as a fraction
10/9 + 5/11 = (?)
10/9 + 5/11 = [(10 x 11) + (5 x 9)]/(9 x 11)
= (110 + 45)/99
= 155/99
10/9 + 5/11 = 155/99
10/9 plus 5/11 as a fraction is 155/99.

where
10/9 is a improper fraction as an addend,
5/11 is a proper fraction as an addend,
155/99 is the sum of 10/9 and 5/11.

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10/9 plus 5/11 as a decimal
10/9 + 5/11 = 155/99
155/99 = 1.5657
(10/9) + (5/11) as a decimal is 1.5657

where
1.5657 is the sum of 10/9 and 5/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/9 and 5/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/9 plus 5/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/9) + (5/11) using LCM Method:
What is 10/9 plus 5/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 5/11

What to be found?
(10/9) + (5/11) = ?
Find what's the sum of 10/9 and 5/11.

step 2 Compare the denominators of fractions 10/9 and 5/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/9 and 5/11 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 10/9 and 5/11:
The LCM of 9 and 11 is 99.

step 4 Write the fractions 10/9 and 5/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 + 5/11
= [(10 x 99)/(9 x 99)] + [(5 x 99)/(11 x 99)]

step 5 Simplify the expression to have common denominator:
= 110/99 + 45/99

step 6 Take the common values out and rewrite the above expression like the below:
= 1/99 x (110/1 + 45/1)
= 1/99 x (110 + 45)

step 7Simplify the above expression further:
= 1/99 x 155
= 155/99
10/9 + 5/11 = 155/99

Hence,
10/9 plus 5/11 as a fraction is 155/99.

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10/9 + 5/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 5/11

What to be found?
(10/9)+(5/11) = ?
Find what's the sum of 10/9 and 5/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (10 x 11) + (5 x 9)/(9 x 11)

step 3 Simplify and rewrite the fraction:
= (110 + 45)/99
10/9 + 5/11 = 155/99

Hence,
10/9 plus 5/11 in fraction is 155/99