17/5 + 11/13 as a fraction

Learn how to find what is 17/5 plus 11/13 in fraction form just in a few minutes. We have covered the easiest method to write 17/5 + 11/13 as a fraction and decimal.

Summary: 17/5 plus 11/13 = 276/65
Since both fractions have unequal denominators, 17/5 plus 11/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/5 and fraction 11/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 13. 65 is the LCM of 5 and 13. Multiplying the LCM 65 with the numerators and denominators of both fractions (17/5 x 65/65) + (11/13 x 65/65), and simplify further in order to have the common denominator. So the equivalent fraction for 17/5 is 221/65 and for 11/13 is 55/65. By simplifying this fraction addition 221/65 + 55/65, it becomes 276/65.

CALCULATION: 17/5 + 11/13 as a fraction
17/5 + 11/13 = (?)
17/5 + 11/13 = [(17 x 13) + (11 x 5)]/(5 x 13)
= (221 + 55)/65
= 276/65
17/5 + 11/13 = 276/65
17/5 plus 11/13 as a fraction is 276/65.

where
17/5 is a improper fraction as an addend,
11/13 is a proper fraction as an addend,
276/65 is the sum of 17/5 and 11/13.

---

17/5 plus 11/13 as a decimal
17/5 + 11/13 = 276/65
276/65 = 4.2462
(17/5) + (11/13) as a decimal is 4.2462

where
4.2462 is the sum of 17/5 and 11/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/5 and 11/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/5 plus 11/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/5) + (11/13) using LCM Method:
What is 17/5 plus 11/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 11/13

What to be found?
(17/5) + (11/13) = ?
Find what's the sum of 17/5 and 11/13.

step 2 Compare the denominators of fractions 17/5 and 11/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/5 and 11/13 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 17/5 and 11/13:
The LCM of 5 and 13 is 65.

step 4 Write the fractions 17/5 and 11/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/5 + 11/13
= [(17 x 65)/(5 x 65)] + [(11 x 65)/(13 x 65)]

step 5 Simplify the expression to have common denominator:
= 221/65 + 55/65

step 6 Take the common values out and rewrite the above expression like the below:
= 1/65 x (221/1 + 55/1)
= 1/65 x (221 + 55)

step 7Simplify the above expression further:
= 1/65 x 276
= 276/65
17/5 + 11/13 = 276/65

Hence,
17/5 plus 11/13 as a fraction is 276/65.

---

17/5 + 11/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 11/13

What to be found?
(17/5)+(11/13) = ?
Find what's the sum of 17/5 and 11/13.

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 (11 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 13) and rewrite the equation as like the below:
= (17 x 13) + (11 x 5)/(5 x 13)

step 3 Simplify and rewrite the fraction:
= (221 + 55)/65
17/5 + 11/13 = 276/65

Hence,
17/5 plus 11/13 in fraction is 276/65