17/3 + 5/6 as a fraction

Learn how to find what is 17/3 plus 5/6 in fraction form just in a few minutes. We have covered the easiest method to write 17/3 + 5/6 as a fraction and decimal.

Summary: 17/3 plus 5/6 = 13/2
Since both fractions have unequal denominators, 17/3 plus 5/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/3 and fraction 5/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 6. 6 is the LCM of 3 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (17/3 x 6/6) + (5/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 17/3 is 34/6 and for 5/6 is 5/6. By simplifying this fraction addition 34/6 + 5/6, it becomes 39/6.

CALCULATION: 17/3 + 5/6 as a fraction
17/3 + 5/6 = (?)
17/3 + 5/6 = [(17 x 6) + (5 x 3)]/(3 x 6)
= (102 + 15)/18
= 117/18
= (9 x 13)/(9 x 2)
= 13/2
17/3 + 5/6 = 13/2
17/3 plus 5/6 as a fraction is 13/2.

where
17/3 is a improper fraction as an addend,
5/6 is a proper fraction as an addend,
13/2 is the sum of 17/3 and 5/6.

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17/3 plus 5/6 as a decimal
17/3 + 5/6 = 13/2
13/2 = 6.5
(17/3) + (5/6) as a decimal is 6.5

where
6.5 is the sum of 17/3 and 5/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/3 and 5/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/3 plus 5/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/3) + (5/6) using LCM Method:
What is 17/3 plus 5/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 5/6

What to be found?
(17/3) + (5/6) = ?
Find what's the sum of 17/3 and 5/6.

step 2 Compare the denominators of fractions 17/3 and 5/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/3 and 5/6 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 17/3 and 5/6:
The LCM of 3 and 6 is 6.

step 4 Write the fractions 17/3 and 5/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/3 + 5/6
= [(17 x 6)/(3 x 6)] + [(5 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 34/6 + 5/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (34/1 + 5/1)
= 1/6 x (34 + 5)

step 7Simplify the above expression further:
= 1/6 x 39
= 39/6
= 13/2
17/3 + 5/6 = 13/2

Hence,
17/3 plus 5/6 as a fraction is 13/2.

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17/3 + 5/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 5/6

What to be found?
(17/3)+(5/6) = ?
Find what's the sum of 17/3 and 5/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 6), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 6) and rewrite the equation as like the below:
= (17 x 6) + (5 x 3)/(3 x 6)

step 3 Simplify and rewrite the fraction:
= (102 + 15)/18
= 117/18
= 13/2
17/3 + 5/6 = 13/2

Hence,
17/3 plus 5/6 in fraction is 13/2