17/9 + 18/11 as a fraction

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

Summary: 17/9 plus 18/11 = 349/99
Since both fractions have unequal denominators, 17/9 plus 18/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/9 and fraction 18/11 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 (17/9 x 99/99) + (18/11 x 99/99), and simplify further in order to have the common denominator. So the equivalent fraction for 17/9 is 187/99 and for 18/11 is 162/99. By simplifying this fraction addition 187/99 + 162/99, it becomes 349/99.

CALCULATION: 17/9 + 18/11 as a fraction
17/9 + 18/11 = (?)
17/9 + 18/11 = [(17 x 11) + (18 x 9)]/(9 x 11)
= (187 + 162)/99
= 349/99
17/9 + 18/11 = 349/99
17/9 plus 18/11 as a fraction is 349/99.

where
17/9 is a improper fraction as an addend,
18/11 is a improper fraction as an addend,
349/99 is the sum of 17/9 and 18/11.

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17/9 plus 18/11 as a decimal
17/9 + 18/11 = 349/99
349/99 = 3.5253
(17/9) + (18/11) as a decimal is 3.5253

where
3.5253 is the sum of 17/9 and 18/11.

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

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

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

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

step 2 Compare the denominators of fractions 17/9 and 18/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/9 and 18/11 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 17/9 and 18/11:
The LCM of 9 and 11 is 99.

step 4 Write the fractions 17/9 and 18/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/9 + 18/11
= [(17 x 99)/(9 x 99)] + [(18 x 99)/(11 x 99)]

step 5 Simplify the expression to have common denominator:
= 187/99 + 162/99

step 6 Take the common values out and rewrite the above expression like the below:
= 1/99 x (187/1 + 162/1)
= 1/99 x (187 + 162)

step 7Simplify the above expression further:
= 1/99 x 349
= 349/99
17/9 + 18/11 = 349/99

Hence,
17/9 plus 18/11 as a fraction is 349/99.

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

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

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

step 3 Simplify and rewrite the fraction:
= (187 + 162)/99
17/9 + 18/11 = 349/99

Hence,
17/9 plus 18/11 in fraction is 349/99