17/18 + 10/11 as a fraction

Learn how to find what is 17/18 plus 10/11 in fraction form just in a few minutes. We have covered the easiest method to write 17/18 + 10/11 as a fraction and decimal.

Summary: 17/18 plus 10/11 = 367/198
Since both fractions have unequal denominators, 17/18 plus 10/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/18 and fraction 10/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 18 and 11. 198 is the LCM of 18 and 11. Multiplying the LCM 198 with the numerators and denominators of both fractions (17/18 x 198/198) + (10/11 x 198/198), and simplify further in order to have the common denominator. So the equivalent fraction for 17/18 is 187/198 and for 10/11 is 180/198. By simplifying this fraction addition 187/198 + 180/198, it becomes 367/198.

CALCULATION: 17/18 + 10/11 as a fraction
17/18 + 10/11 = (?)
17/18 + 10/11 = [(17 x 11) + (10 x 18)]/(18 x 11)
= (187 + 180)/198
= 367/198
17/18 + 10/11 = 367/198
17/18 plus 10/11 as a fraction is 367/198.

where
17/18 is a proper fraction as an addend,
10/11 is a proper fraction as an addend,
367/198 is the sum of 17/18 and 10/11.

---

17/18 plus 10/11 as a decimal
17/18 + 10/11 = 367/198
367/198 = 1.8535
(17/18) + (10/11) as a decimal is 1.8535

where
1.8535 is the sum of 17/18 and 10/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/18 and 10/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/18 plus 10/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/18) + (10/11) using LCM Method:
What is 17/18 plus 10/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/18
Fraction B: 10/11

What to be found?
(17/18) + (10/11) = ?
Find what's the sum of 17/18 and 10/11.

step 2 Compare the denominators of fractions 17/18 and 10/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/18 and 10/11 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 17/18 and 10/11:
The LCM of 18 and 11 is 198.

step 4 Write the fractions 17/18 and 10/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/18 + 10/11
= [(17 x 198)/(18 x 198)] + [(10 x 198)/(11 x 198)]

step 5 Simplify the expression to have common denominator:
= 187/198 + 180/198

step 6 Take the common values out and rewrite the above expression like the below:
= 1/198 x (187/1 + 180/1)
= 1/198 x (187 + 180)

step 7Simplify the above expression further:
= 1/198 x 367
= 367/198
17/18 + 10/11 = 367/198

Hence,
17/18 plus 10/11 as a fraction is 367/198.

---

17/18 + 10/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/18
Fraction B: 10/11

What to be found?
(17/18)+(10/11) = ?
Find what's the sum of 17/18 and 10/11.

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 (10 x 18), and find the product of both denominators of Fraction A and Fraction B (18 x 11) and rewrite the equation as like the below:
= (17 x 11) + (10 x 18)/(18 x 11)

step 3 Simplify and rewrite the fraction:
= (187 + 180)/198
17/18 + 10/11 = 367/198

Hence,
17/18 plus 10/11 in fraction is 367/198