18/17 + 11/18 as a fraction

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

Summary: 18/17 plus 11/18 = 511/306
Since both fractions have unequal denominators, 18/17 plus 11/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/17 and fraction 11/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 17 and 18. 306 is the LCM of 17 and 18. Multiplying the LCM 306 with the numerators and denominators of both fractions (18/17 x 306/306) + (11/18 x 306/306), and simplify further in order to have the common denominator. So the equivalent fraction for 18/17 is 324/306 and for 11/18 is 187/306. By simplifying this fraction addition 324/306 + 187/306, it becomes 511/306.

CALCULATION: 18/17 + 11/18 as a fraction
18/17 + 11/18 = (?)
18/17 + 11/18 = [(18 x 18) + (11 x 17)]/(17 x 18)
= (324 + 187)/306
= 511/306
18/17 + 11/18 = 511/306
18/17 plus 11/18 as a fraction is 511/306.

where
18/17 is a improper fraction as an addend,
11/18 is a proper fraction as an addend,
511/306 is the sum of 18/17 and 11/18.

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18/17 plus 11/18 as a decimal
18/17 + 11/18 = 511/306
511/306 = 1.6699
(18/17) + (11/18) as a decimal is 1.6699

where
1.6699 is the sum of 18/17 and 11/18.

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

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

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

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

step 2 Compare the denominators of fractions 18/17 and 11/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/17 and 11/18 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 18/17 and 11/18:
The LCM of 17 and 18 is 306.

step 4 Write the fractions 18/17 and 11/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/17 + 11/18
= [(18 x 306)/(17 x 306)] + [(11 x 306)/(18 x 306)]

step 5 Simplify the expression to have common denominator:
= 324/306 + 187/306

step 6 Take the common values out and rewrite the above expression like the below:
= 1/306 x (324/1 + 187/1)
= 1/306 x (324 + 187)

step 7Simplify the above expression further:
= 1/306 x 511
= 511/306
18/17 + 11/18 = 511/306

Hence,
18/17 plus 11/18 as a fraction is 511/306.

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

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

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

step 3 Simplify and rewrite the fraction:
= (324 + 187)/306
18/17 + 11/18 = 511/306

Hence,
18/17 plus 11/18 in fraction is 511/306