17/3 + 15/13 as a fraction

Learn how to find what is 17/3 plus 15/13 in fraction form just in a few minutes. We have covered the easiest method to write 17/3 + 15/13 as a fraction and decimal.

Summary: 17/3 plus 15/13 = 266/39
Since both fractions have unequal denominators, 17/3 plus 15/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/3 and fraction 15/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 13. 39 is the LCM of 3 and 13. Multiplying the LCM 39 with the numerators and denominators of both fractions (17/3 x 39/39) + (15/13 x 39/39), and simplify further in order to have the common denominator. So the equivalent fraction for 17/3 is 221/39 and for 15/13 is 45/39. By simplifying this fraction addition 221/39 + 45/39, it becomes 266/39.

CALCULATION: 17/3 + 15/13 as a fraction
17/3 + 15/13 = (?)
17/3 + 15/13 = [(17 x 13) + (15 x 3)]/(3 x 13)
= (221 + 45)/39
= 266/39
17/3 + 15/13 = 266/39
17/3 plus 15/13 as a fraction is 266/39.

where
17/3 is a improper fraction as an addend,
15/13 is a improper fraction as an addend,
266/39 is the sum of 17/3 and 15/13.

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17/3 plus 15/13 as a decimal
17/3 + 15/13 = 266/39
266/39 = 6.8205
(17/3) + (15/13) as a decimal is 6.8205

where
6.8205 is the sum of 17/3 and 15/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/3 and 15/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/3 plus 15/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/3) + (15/13) using LCM Method:
What is 17/3 plus 15/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 15/13

What to be found?
(17/3) + (15/13) = ?
Find what's the sum of 17/3 and 15/13.

step 2 Compare the denominators of fractions 17/3 and 15/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/3 and 15/13 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 17/3 and 15/13:
The LCM of 3 and 13 is 39.

step 4 Write the fractions 17/3 and 15/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/3 + 15/13
= [(17 x 39)/(3 x 39)] + [(15 x 39)/(13 x 39)]

step 5 Simplify the expression to have common denominator:
= 221/39 + 45/39

step 6 Take the common values out and rewrite the above expression like the below:
= 1/39 x (221/1 + 45/1)
= 1/39 x (221 + 45)

step 7Simplify the above expression further:
= 1/39 x 266
= 266/39
17/3 + 15/13 = 266/39

Hence,
17/3 plus 15/13 as a fraction is 266/39.

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17/3 + 15/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 15/13

What to be found?
(17/3)+(15/13) = ?
Find what's the sum of 17/3 and 15/13.

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 (15 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 13) and rewrite the equation as like the below:
= (17 x 13) + (15 x 3)/(3 x 13)

step 3 Simplify and rewrite the fraction:
= (221 + 45)/39
17/3 + 15/13 = 266/39

Hence,
17/3 plus 15/13 in fraction is 266/39