17/8 + 3/17 as a fraction

Learn how to find what is 17/8 plus 3/17 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 + 3/17 as a fraction and decimal.

Summary: 17/8 plus 3/17 = 313/136
Since both fractions have unequal denominators, 17/8 plus 3/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 3/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 17. 136 is the LCM of 8 and 17. Multiplying the LCM 136 with the numerators and denominators of both fractions (17/8 x 136/136) + (3/17 x 136/136), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 289/136 and for 3/17 is 24/136. By simplifying this fraction addition 289/136 + 24/136, it becomes 313/136.

CALCULATION: 17/8 + 3/17 as a fraction
17/8 + 3/17 = (?)
17/8 + 3/17 = [(17 x 17) + (3 x 8)]/(8 x 17)
= (289 + 24)/136
= 313/136
17/8 + 3/17 = 313/136
17/8 plus 3/17 as a fraction is 313/136.

where
17/8 is a improper fraction as an addend,
3/17 is a proper fraction as an addend,
313/136 is the sum of 17/8 and 3/17.

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17/8 plus 3/17 as a decimal
17/8 + 3/17 = 313/136
313/136 = 2.3015
(17/8) + (3/17) as a decimal is 2.3015

where
2.3015 is the sum of 17/8 and 3/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/8 and 3/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/8 plus 3/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/8) + (3/17) using LCM Method:
What is 17/8 plus 3/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 3/17

What to be found?
(17/8) + (3/17) = ?
Find what's the sum of 17/8 and 3/17.

step 2 Compare the denominators of fractions 17/8 and 3/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/8 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 17/8 and 3/17:
The LCM of 8 and 17 is 136.

step 4 Write the fractions 17/8 and 3/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 + 3/17
= [(17 x 136)/(8 x 136)] + [(3 x 136)/(17 x 136)]

step 5 Simplify the expression to have common denominator:
= 289/136 + 24/136

step 6 Take the common values out and rewrite the above expression like the below:
= 1/136 x (289/1 + 24/1)
= 1/136 x (289 + 24)

step 7Simplify the above expression further:
= 1/136 x 313
= 313/136
17/8 + 3/17 = 313/136

Hence,
17/8 plus 3/17 as a fraction is 313/136.

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17/8 + 3/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 3/17

What to be found?
(17/8)+(3/17) = ?
Find what's the sum of 17/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 17) and rewrite the equation as like the below:
= (17 x 17) + (3 x 8)/(8 x 17)

step 3 Simplify and rewrite the fraction:
= (289 + 24)/136
17/8 + 3/17 = 313/136

Hence,
17/8 plus 3/17 in fraction is 313/136