11/6 + 8/17 as a fraction

Learn how to find what is 11/6 plus 8/17 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 + 8/17 as a fraction and decimal.

Summary: 11/6 plus 8/17 = 235/102
Since both fractions have unequal denominators, 11/6 plus 8/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 8/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 17. 102 is the LCM of 6 and 17. Multiplying the LCM 102 with the numerators and denominators of both fractions (11/6 x 102/102) + (8/17 x 102/102), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 187/102 and for 8/17 is 48/102. By simplifying this fraction addition 187/102 + 48/102, it becomes 235/102.

CALCULATION: 11/6 + 8/17 as a fraction
11/6 + 8/17 = (?)
11/6 + 8/17 = [(11 x 17) + (8 x 6)]/(6 x 17)
= (187 + 48)/102
= 235/102
11/6 + 8/17 = 235/102
11/6 plus 8/17 as a fraction is 235/102.

where
11/6 is a improper fraction as an addend,
8/17 is a proper fraction as an addend,
235/102 is the sum of 11/6 and 8/17.

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11/6 plus 8/17 as a decimal
11/6 + 8/17 = 235/102
235/102 = 2.3039
(11/6) + (8/17) as a decimal is 2.3039

where
2.3039 is the sum of 11/6 and 8/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/6 and 8/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/6 plus 8/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/6) + (8/17) using LCM Method:
What is 11/6 plus 8/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 8/17

What to be found?
(11/6) + (8/17) = ?
Find what's the sum of 11/6 and 8/17.

step 2 Compare the denominators of fractions 11/6 and 8/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/6 and 8/17 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 11/6 and 8/17:
The LCM of 6 and 17 is 102.

step 4 Write the fractions 11/6 and 8/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 + 8/17
= [(11 x 102)/(6 x 102)] + [(8 x 102)/(17 x 102)]

step 5 Simplify the expression to have common denominator:
= 187/102 + 48/102

step 6 Take the common values out and rewrite the above expression like the below:
= 1/102 x (187/1 + 48/1)
= 1/102 x (187 + 48)

step 7Simplify the above expression further:
= 1/102 x 235
= 235/102
11/6 + 8/17 = 235/102

Hence,
11/6 plus 8/17 as a fraction is 235/102.

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11/6 + 8/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 8/17

What to be found?
(11/6)+(8/17) = ?
Find what's the sum of 11/6 and 8/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 17), find the product of numerator of Fraction B and denominator of Fraction A (8 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 17) and rewrite the equation as like the below:
= (11 x 17) + (8 x 6)/(6 x 17)

step 3 Simplify and rewrite the fraction:
= (187 + 48)/102
11/6 + 8/17 = 235/102

Hence,
11/6 plus 8/17 in fraction is 235/102