17/2 + 2/13 as a fraction

Learn how to find what is 17/2 plus 2/13 in fraction form just in a few minutes. We have covered the easiest method to write 17/2 + 2/13 as a fraction and decimal.

Summary: 17/2 plus 2/13 = 225/26
Since both fractions have unequal denominators, 17/2 plus 2/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/2 and fraction 2/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 13. 26 is the LCM of 2 and 13. Multiplying the LCM 26 with the numerators and denominators of both fractions (17/2 x 26/26) + (2/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 17/2 is 221/26 and for 2/13 is 4/26. By simplifying this fraction addition 221/26 + 4/26, it becomes 225/26.

CALCULATION: 17/2 + 2/13 as a fraction
17/2 + 2/13 = (?)
17/2 + 2/13 = [(17 x 13) + (2 x 2)]/(2 x 13)
= (221 + 4)/26
= 225/26
17/2 + 2/13 = 225/26
17/2 plus 2/13 as a fraction is 225/26.

where
17/2 is a improper fraction as an addend,
2/13 is a proper fraction as an addend,
225/26 is the sum of 17/2 and 2/13.

---

17/2 plus 2/13 as a decimal
17/2 + 2/13 = 225/26
225/26 = 8.6538
(17/2) + (2/13) as a decimal is 8.6538

where
8.6538 is the sum of 17/2 and 2/13.

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

(17/2) + (2/13) using LCM Method:
What is 17/2 plus 2/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 2/13

What to be found?
(17/2) + (2/13) = ?
Find what's the sum of 17/2 and 2/13.

step 2 Compare the denominators of fractions 17/2 and 2/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/2 and 2/13 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 17/2 and 2/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 17/2 and 2/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/2 + 2/13
= [(17 x 26)/(2 x 26)] + [(2 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 221/26 + 4/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (221/1 + 4/1)
= 1/26 x (221 + 4)

step 7Simplify the above expression further:
= 1/26 x 225
= 225/26
17/2 + 2/13 = 225/26

Hence,
17/2 plus 2/13 as a fraction is 225/26.

---

17/2 + 2/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 2/13

What to be found?
(17/2)+(2/13) = ?
Find what's the sum of 17/2 and 2/13.

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 (2 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 13) and rewrite the equation as like the below:
= (17 x 13) + (2 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (221 + 4)/26
17/2 + 2/13 = 225/26

Hence,
17/2 plus 2/13 in fraction is 225/26