17/6 + 9/13 as a fraction

Learn how to find what is 17/6 plus 9/13 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 + 9/13 as a fraction and decimal.

Summary: 17/6 plus 9/13 = 275/78
Since both fractions have unequal denominators, 17/6 plus 9/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 9/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 13. 78 is the LCM of 6 and 13. Multiplying the LCM 78 with the numerators and denominators of both fractions (17/6 x 78/78) + (9/13 x 78/78), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 221/78 and for 9/13 is 54/78. By simplifying this fraction addition 221/78 + 54/78, it becomes 275/78.

CALCULATION: 17/6 + 9/13 as a fraction
17/6 + 9/13 = (?)
17/6 + 9/13 = [(17 x 13) + (9 x 6)]/(6 x 13)
= (221 + 54)/78
= 275/78
17/6 + 9/13 = 275/78
17/6 plus 9/13 as a fraction is 275/78.

where
17/6 is a improper fraction as an addend,
9/13 is a proper fraction as an addend,
275/78 is the sum of 17/6 and 9/13.

---

17/6 plus 9/13 as a decimal
17/6 + 9/13 = 275/78
275/78 = 3.5256
(17/6) + (9/13) as a decimal is 3.5256

where
3.5256 is the sum of 17/6 and 9/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/6 and 9/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/6 plus 9/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/6) + (9/13) using LCM Method:
What is 17/6 plus 9/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 9/13

What to be found?
(17/6) + (9/13) = ?
Find what's the sum of 17/6 and 9/13.

step 2 Compare the denominators of fractions 17/6 and 9/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/6 and 9/13 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 9/13:
The LCM of 6 and 13 is 78.

step 4 Write the fractions 17/6 and 9/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 + 9/13
= [(17 x 78)/(6 x 78)] + [(9 x 78)/(13 x 78)]

step 5 Simplify the expression to have common denominator:
= 221/78 + 54/78

step 6 Take the common values out and rewrite the above expression like the below:
= 1/78 x (221/1 + 54/1)
= 1/78 x (221 + 54)

step 7Simplify the above expression further:
= 1/78 x 275
= 275/78
17/6 + 9/13 = 275/78

Hence,
17/6 plus 9/13 as a fraction is 275/78.

---

17/6 + 9/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 9/13

What to be found?
(17/6)+(9/13) = ?
Find what's the sum of 17/6 and 9/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 13), 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 13) and rewrite the equation as like the below:
= (17 x 13) + (9 x 6)/(6 x 13)

step 3 Simplify and rewrite the fraction:
= (221 + 54)/78
17/6 + 9/13 = 275/78

Hence,
17/6 plus 9/13 in fraction is 275/78