17/8 + 18/11 as a fraction

Learn how to find what is 17/8 plus 18/11 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 + 18/11 as a fraction and decimal.

Summary: 17/8 plus 18/11 = 331/88
Since both fractions have unequal denominators, 17/8 plus 18/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 18/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 11. 88 is the LCM of 8 and 11. Multiplying the LCM 88 with the numerators and denominators of both fractions (17/8 x 88/88) + (18/11 x 88/88), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 187/88 and for 18/11 is 144/88. By simplifying this fraction addition 187/88 + 144/88, it becomes 331/88.

CALCULATION: 17/8 + 18/11 as a fraction
17/8 + 18/11 = (?)
17/8 + 18/11 = [(17 x 11) + (18 x 8)]/(8 x 11)
= (187 + 144)/88
= 331/88
17/8 + 18/11 = 331/88
17/8 plus 18/11 as a fraction is 331/88.

where
17/8 is a improper fraction as an addend,
18/11 is a improper fraction as an addend,
331/88 is the sum of 17/8 and 18/11.

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17/8 plus 18/11 as a decimal
17/8 + 18/11 = 331/88
331/88 = 3.7614
(17/8) + (18/11) as a decimal is 3.7614

where
3.7614 is the sum of 17/8 and 18/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/8 and 18/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/8 plus 18/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/8) + (18/11) using LCM Method:
What is 17/8 plus 18/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 18/11

What to be found?
(17/8) + (18/11) = ?
Find what's the sum of 17/8 and 18/11.

step 2 Compare the denominators of fractions 17/8 and 18/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/8 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 17/8 and 18/11:
The LCM of 8 and 11 is 88.

step 4 Write the fractions 17/8 and 18/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 + 18/11
= [(17 x 88)/(8 x 88)] + [(18 x 88)/(11 x 88)]

step 5 Simplify the expression to have common denominator:
= 187/88 + 144/88

step 6 Take the common values out and rewrite the above expression like the below:
= 1/88 x (187/1 + 144/1)
= 1/88 x (187 + 144)

step 7Simplify the above expression further:
= 1/88 x 331
= 331/88
17/8 + 18/11 = 331/88

Hence,
17/8 plus 18/11 as a fraction is 331/88.

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17/8 + 18/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 18/11

What to be found?
(17/8)+(18/11) = ?
Find what's the sum of 17/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 11) and rewrite the equation as like the below:
= (17 x 11) + (18 x 8)/(8 x 11)

step 3 Simplify and rewrite the fraction:
= (187 + 144)/88
17/8 + 18/11 = 331/88

Hence,
17/8 plus 18/11 in fraction is 331/88