17/2 + 3/17 as a fraction

Learn how to find what is 17/2 plus 3/17 in fraction form just in a few minutes. We have covered the easiest method to write 17/2 + 3/17 as a fraction and decimal.

Summary: 17/2 plus 3/17 = 295/34
Since both fractions have unequal denominators, 17/2 plus 3/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/2 and fraction 3/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 17. 34 is the LCM of 2 and 17. Multiplying the LCM 34 with the numerators and denominators of both fractions (17/2 x 34/34) + (3/17 x 34/34), and simplify further in order to have the common denominator. So the equivalent fraction for 17/2 is 289/34 and for 3/17 is 6/34. By simplifying this fraction addition 289/34 + 6/34, it becomes 295/34.

CALCULATION: 17/2 + 3/17 as a fraction
17/2 + 3/17 = (?)
17/2 + 3/17 = [(17 x 17) + (3 x 2)]/(2 x 17)
= (289 + 6)/34
= 295/34
17/2 + 3/17 = 295/34
17/2 plus 3/17 as a fraction is 295/34.

where
17/2 is a improper fraction as an addend,
3/17 is a proper fraction as an addend,
295/34 is the sum of 17/2 and 3/17.

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17/2 plus 3/17 as a decimal
17/2 + 3/17 = 295/34
295/34 = 8.6765
(17/2) + (3/17) as a decimal is 8.6765

where
8.6765 is the sum of 17/2 and 3/17.

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

(17/2) + (3/17) using LCM Method:
What is 17/2 plus 3/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 3/17

What to be found?
(17/2) + (3/17) = ?
Find what's the sum of 17/2 and 3/17.

step 2 Compare the denominators of fractions 17/2 and 3/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/2 and 3/17 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 3/17:
The LCM of 2 and 17 is 34.

step 4 Write the fractions 17/2 and 3/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/2 + 3/17
= [(17 x 34)/(2 x 34)] + [(3 x 34)/(17 x 34)]

step 5 Simplify the expression to have common denominator:
= 289/34 + 6/34

step 6 Take the common values out and rewrite the above expression like the below:
= 1/34 x (289/1 + 6/1)
= 1/34 x (289 + 6)

step 7Simplify the above expression further:
= 1/34 x 295
= 295/34
17/2 + 3/17 = 295/34

Hence,
17/2 plus 3/17 as a fraction is 295/34.

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17/2 + 3/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/2
Fraction B: 3/17

What to be found?
(17/2)+(3/17) = ?
Find what's the sum of 17/2 and 3/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 17), find the product of numerator of Fraction B and denominator of Fraction A (3 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 17) and rewrite the equation as like the below:
= (17 x 17) + (3 x 2)/(2 x 17)

step 3 Simplify and rewrite the fraction:
= (289 + 6)/34
17/2 + 3/17 = 295/34

Hence,
17/2 plus 3/17 in fraction is 295/34