11/9 + 18/17 as a fraction

Learn how to find what is 11/9 plus 18/17 in fraction form just in a few minutes. We have covered the easiest method to write 11/9 + 18/17 as a fraction and decimal.

Summary: 11/9 plus 18/17 = 349/153
Since both fractions have unequal denominators, 11/9 plus 18/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/9 and fraction 18/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 17. 153 is the LCM of 9 and 17. Multiplying the LCM 153 with the numerators and denominators of both fractions (11/9 x 153/153) + (18/17 x 153/153), and simplify further in order to have the common denominator. So the equivalent fraction for 11/9 is 187/153 and for 18/17 is 162/153. By simplifying this fraction addition 187/153 + 162/153, it becomes 349/153.

CALCULATION: 11/9 + 18/17 as a fraction
11/9 + 18/17 = (?)
11/9 + 18/17 = [(11 x 17) + (18 x 9)]/(9 x 17)
= (187 + 162)/153
= 349/153
11/9 + 18/17 = 349/153
11/9 plus 18/17 as a fraction is 349/153.

where
11/9 is a improper fraction as an addend,
18/17 is a improper fraction as an addend,
349/153 is the sum of 11/9 and 18/17.

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11/9 plus 18/17 as a decimal
11/9 + 18/17 = 349/153
349/153 = 2.281
(11/9) + (18/17) as a decimal is 2.281

where
2.281 is the sum of 11/9 and 18/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/9 and 18/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/9 plus 18/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/9) + (18/17) using LCM Method:
What is 11/9 plus 18/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 18/17

What to be found?
(11/9) + (18/17) = ?
Find what's the sum of 11/9 and 18/17.

step 2 Compare the denominators of fractions 11/9 and 18/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/9 and 18/17 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 11/9 and 18/17:
The LCM of 9 and 17 is 153.

step 4 Write the fractions 11/9 and 18/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/9 + 18/17
= [(11 x 153)/(9 x 153)] + [(18 x 153)/(17 x 153)]

step 5 Simplify the expression to have common denominator:
= 187/153 + 162/153

step 6 Take the common values out and rewrite the above expression like the below:
= 1/153 x (187/1 + 162/1)
= 1/153 x (187 + 162)

step 7Simplify the above expression further:
= 1/153 x 349
= 349/153
11/9 + 18/17 = 349/153

Hence,
11/9 plus 18/17 as a fraction is 349/153.

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11/9 + 18/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 18/17

What to be found?
(11/9)+(18/17) = ?
Find what's the sum of 11/9 and 18/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 17), find the product of numerator of Fraction B and denominator of Fraction A (18 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 17) and rewrite the equation as like the below:
= (11 x 17) + (18 x 9)/(9 x 17)

step 3 Simplify and rewrite the fraction:
= (187 + 162)/153
11/9 + 18/17 = 349/153

Hence,
11/9 plus 18/17 in fraction is 349/153