17/5 + 14/15 as a fraction

Learn how to find what is 17/5 plus 14/15 in fraction form just in a few minutes. We have covered the easiest method to write 17/5 + 14/15 as a fraction and decimal.

Summary: 17/5 plus 14/15 = 13/3
Since both fractions have unequal denominators, 17/5 plus 14/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/5 and fraction 14/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 15. 15 is the LCM of 5 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (17/5 x 15/15) + (14/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 17/5 is 51/15 and for 14/15 is 14/15. By simplifying this fraction addition 51/15 + 14/15, it becomes 65/15.

CALCULATION: 17/5 + 14/15 as a fraction
17/5 + 14/15 = (?)
17/5 + 14/15 = [(17 x 15) + (14 x 5)]/(5 x 15)
= (255 + 70)/75
= 325/75
= (25 x 13)/(25 x 3)
= 13/3
17/5 + 14/15 = 13/3
17/5 plus 14/15 as a fraction is 13/3.

where
17/5 is a improper fraction as an addend,
14/15 is a proper fraction as an addend,
13/3 is the sum of 17/5 and 14/15.

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17/5 plus 14/15 as a decimal
17/5 + 14/15 = 13/3
13/3 = 4.3333
(17/5) + (14/15) as a decimal is 4.3333

where
4.3333 is the sum of 17/5 and 14/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/5 and 14/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/5 plus 14/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/5) + (14/15) using LCM Method:
What is 17/5 plus 14/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 14/15

What to be found?
(17/5) + (14/15) = ?
Find what's the sum of 17/5 and 14/15.

step 2 Compare the denominators of fractions 17/5 and 14/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/5 and 14/15 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 14/15:
The LCM of 5 and 15 is 15.

step 4 Write the fractions 17/5 and 14/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/5 + 14/15
= [(17 x 15)/(5 x 15)] + [(14 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 51/15 + 14/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (51/1 + 14/1)
= 1/15 x (51 + 14)

step 7Simplify the above expression further:
= 1/15 x 65
= 65/15
= 13/3
17/5 + 14/15 = 13/3

Hence,
17/5 plus 14/15 as a fraction is 13/3.

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17/5 + 14/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/5
Fraction B: 14/15

What to be found?
(17/5)+(14/15) = ?
Find what's the sum of 17/5 and 14/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 15), find the product of numerator of Fraction B and denominator of Fraction A (14 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 15) and rewrite the equation as like the below:
= (17 x 15) + (14 x 5)/(5 x 15)

step 3 Simplify and rewrite the fraction:
= (255 + 70)/75
= 325/75
= 13/3
17/5 + 14/15 = 13/3

Hence,
17/5 plus 14/15 in fraction is 13/3