17/6 + 9/4 as a fraction

Learn how to find what is 17/6 plus 9/4 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 + 9/4 as a fraction and decimal.

Summary: 17/6 plus 9/4 = 61/12
Since both fractions have unequal denominators, 17/6 plus 9/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 9/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 4. 12 is the LCM of 6 and 4. Multiplying the LCM 12 with the numerators and denominators of both fractions (17/6 x 12/12) + (9/4 x 12/12), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 34/12 and for 9/4 is 27/12. By simplifying this fraction addition 34/12 + 27/12, it becomes 61/12.

CALCULATION: 17/6 + 9/4 as a fraction
17/6 + 9/4 = (?)
17/6 + 9/4 = [(17 x 4) + (9 x 6)]/(6 x 4)
= (68 + 54)/24
= 122/24
= (2 x 61)/(2 x 12)
= 61/12
17/6 + 9/4 = 61/12
17/6 plus 9/4 as a fraction is 61/12.

where
17/6 is a improper fraction as an addend,
9/4 is a improper fraction as an addend,
61/12 is the sum of 17/6 and 9/4.

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17/6 plus 9/4 as a decimal
17/6 + 9/4 = 61/12
61/12 = 5.0833
(17/6) + (9/4) as a decimal is 5.0833

where
5.0833 is the sum of 17/6 and 9/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/6 and 9/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/6 plus 9/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/6) + (9/4) using LCM Method:
What is 17/6 plus 9/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 9/4

What to be found?
(17/6) + (9/4) = ?
Find what's the sum of 17/6 and 9/4.

step 2 Compare the denominators of fractions 17/6 and 9/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/6 and 9/4 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 9/4:
The LCM of 6 and 4 is 12.

step 4 Write the fractions 17/6 and 9/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 + 9/4
= [(17 x 12)/(6 x 12)] + [(9 x 12)/(4 x 12)]

step 5 Simplify the expression to have common denominator:
= 34/12 + 27/12

step 6 Take the common values out and rewrite the above expression like the below:
= 1/12 x (34/1 + 27/1)
= 1/12 x (34 + 27)

step 7Simplify the above expression further:
= 1/12 x 61
= 61/12
17/6 + 9/4 = 61/12

Hence,
17/6 plus 9/4 as a fraction is 61/12.

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17/6 + 9/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 9/4

What to be found?
(17/6)+(9/4) = ?
Find what's the sum of 17/6 and 9/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 4), find the product of numerator of Fraction B and denominator of Fraction A (9 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 4) and rewrite the equation as like the below:
= (17 x 4) + (9 x 6)/(6 x 4)

step 3 Simplify and rewrite the fraction:
= (68 + 54)/24
= 122/24
= 61/12
17/6 + 9/4 = 61/12

Hence,
17/6 plus 9/4 in fraction is 61/12