18/11 + 17/18 as a fraction

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

Summary: 18/11 plus 17/18 = 511/198
Since both fractions have unequal denominators, 18/11 plus 17/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/11 and fraction 17/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 11 and 18. 198 is the LCM of 11 and 18. Multiplying the LCM 198 with the numerators and denominators of both fractions (18/11 x 198/198) + (17/18 x 198/198), and simplify further in order to have the common denominator. So the equivalent fraction for 18/11 is 324/198 and for 17/18 is 187/198. By simplifying this fraction addition 324/198 + 187/198, it becomes 511/198.

CALCULATION: 18/11 + 17/18 as a fraction
18/11 + 17/18 = (?)
18/11 + 17/18 = [(18 x 18) + (17 x 11)]/(11 x 18)
= (324 + 187)/198
= 511/198
18/11 + 17/18 = 511/198
18/11 plus 17/18 as a fraction is 511/198.

where
18/11 is a improper fraction as an addend,
17/18 is a proper fraction as an addend,
511/198 is the sum of 18/11 and 17/18.

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18/11 plus 17/18 as a decimal
18/11 + 17/18 = 511/198
511/198 = 2.5808
(18/11) + (17/18) as a decimal is 2.5808

where
2.5808 is the sum of 18/11 and 17/18.

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

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

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

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

step 2 Compare the denominators of fractions 18/11 and 17/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/11 and 17/18 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 18/11 and 17/18:
The LCM of 11 and 18 is 198.

step 4 Write the fractions 18/11 and 17/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/11 + 17/18
= [(18 x 198)/(11 x 198)] + [(17 x 198)/(18 x 198)]

step 5 Simplify the expression to have common denominator:
= 324/198 + 187/198

step 6 Take the common values out and rewrite the above expression like the below:
= 1/198 x (324/1 + 187/1)
= 1/198 x (324 + 187)

step 7Simplify the above expression further:
= 1/198 x 511
= 511/198
18/11 + 17/18 = 511/198

Hence,
18/11 plus 17/18 as a fraction is 511/198.

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

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

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

step 3 Simplify and rewrite the fraction:
= (324 + 187)/198
18/11 + 17/18 = 511/198

Hence,
18/11 plus 17/18 in fraction is 511/198