17/2 + 4/15 as a fraction

Learn how to find what is 17/2 plus 4/15 in fraction form just in a few minutes. We have covered the easiest method to write 17/2 + 4/15 as a fraction and decimal.

Summary: 17/2 plus 4/15 = 263/30
Since both fractions have unequal denominators, 17/2 plus 4/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/2 and fraction 4/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 15. 30 is the LCM of 2 and 15. Multiplying the LCM 30 with the numerators and denominators of both fractions (17/2 x 30/30) + (4/15 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 17/2 is 255/30 and for 4/15 is 8/30. By simplifying this fraction addition 255/30 + 8/30, it becomes 263/30.

CALCULATION: 17/2 + 4/15 as a fraction
17/2 + 4/15 = (?)
17/2 + 4/15 = [(17 x 15) + (4 x 2)]/(2 x 15)
= (255 + 8)/30
= 263/30
17/2 + 4/15 = 263/30
17/2 plus 4/15 as a fraction is 263/30.

where
17/2 is a improper fraction as an addend,
4/15 is a proper fraction as an addend,
263/30 is the sum of 17/2 and 4/15.

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17/2 plus 4/15 as a decimal
17/2 + 4/15 = 263/30
263/30 = 8.7667
(17/2) + (4/15) as a decimal is 8.7667

where
8.7667 is the sum of 17/2 and 4/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/2 and 4/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/2 plus 4/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/2) + (4/15) using LCM Method:
What is 17/2 plus 4/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 4/15

What to be found?
(17/2) + (4/15) = ?
Find what's the sum of 17/2 and 4/15.

step 2 Compare the denominators of fractions 17/2 and 4/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/2 and 4/15 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 17/2 and 4/15:
The LCM of 2 and 15 is 30.

step 4 Write the fractions 17/2 and 4/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/2 + 4/15
= [(17 x 30)/(2 x 30)] + [(4 x 30)/(15 x 30)]

step 5 Simplify the expression to have common denominator:
= 255/30 + 8/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (255/1 + 8/1)
= 1/30 x (255 + 8)

step 7Simplify the above expression further:
= 1/30 x 263
= 263/30
17/2 + 4/15 = 263/30

Hence,
17/2 plus 4/15 as a fraction is 263/30.

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17/2 + 4/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 4/15

What to be found?
(17/2)+(4/15) = ?
Find what's the sum of 17/2 and 4/15.

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 (4 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 15) and rewrite the equation as like the below:
= (17 x 15) + (4 x 2)/(2 x 15)

step 3 Simplify and rewrite the fraction:
= (255 + 8)/30
17/2 + 4/15 = 263/30

Hence,
17/2 plus 4/15 in fraction is 263/30