17/6 + 7/9 as a fraction

Learn how to find what is 17/6 plus 7/9 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 + 7/9 as a fraction and decimal.

Summary: 17/6 plus 7/9 = 65/18
Since both fractions have unequal denominators, 17/6 plus 7/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 7/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 9. 18 is the LCM of 6 and 9. Multiplying the LCM 18 with the numerators and denominators of both fractions (17/6 x 18/18) + (7/9 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 51/18 and for 7/9 is 14/18. By simplifying this fraction addition 51/18 + 14/18, it becomes 65/18.

CALCULATION: 17/6 + 7/9 as a fraction
17/6 + 7/9 = (?)
17/6 + 7/9 = [(17 x 9) + (7 x 6)]/(6 x 9)
= (153 + 42)/54
= 195/54
= (3 x 65)/(3 x 18)
= 65/18
17/6 + 7/9 = 65/18
17/6 plus 7/9 as a fraction is 65/18.

where
17/6 is a improper fraction as an addend,
7/9 is a proper fraction as an addend,
65/18 is the sum of 17/6 and 7/9.

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17/6 plus 7/9 as a decimal
17/6 + 7/9 = 65/18
65/18 = 3.6111
(17/6) + (7/9) as a decimal is 3.6111

where
3.6111 is the sum of 17/6 and 7/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/6 and 7/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/6 plus 7/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/6) + (7/9) using LCM Method:
What is 17/6 plus 7/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 7/9

What to be found?
(17/6) + (7/9) = ?
Find what's the sum of 17/6 and 7/9.

step 2 Compare the denominators of fractions 17/6 and 7/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/6 and 7/9 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 17/6 and 7/9:
The LCM of 6 and 9 is 18.

step 4 Write the fractions 17/6 and 7/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 + 7/9
= [(17 x 18)/(6 x 18)] + [(7 x 18)/(9 x 18)]

step 5 Simplify the expression to have common denominator:
= 51/18 + 14/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (51/1 + 14/1)
= 1/18 x (51 + 14)

step 7Simplify the above expression further:
= 1/18 x 65
= 65/18
17/6 + 7/9 = 65/18

Hence,
17/6 plus 7/9 as a fraction is 65/18.

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17/6 + 7/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 7/9

What to be found?
(17/6)+(7/9) = ?
Find what's the sum of 17/6 and 7/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 9), find the product of numerator of Fraction B and denominator of Fraction A (7 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 9) and rewrite the equation as like the below:
= (17 x 9) + (7 x 6)/(6 x 9)

step 3 Simplify and rewrite the fraction:
= (153 + 42)/54
= 195/54
= 65/18
17/6 + 7/9 = 65/18

Hence,
17/6 plus 7/9 in fraction is 65/18