17/15 + 12/17 as a fraction

Learn how to find what is 17/15 plus 12/17 in fraction form just in a few minutes. We have covered the easiest method to write 17/15 + 12/17 as a fraction and decimal.

Summary: 17/15 plus 12/17 = 469/255
Since both fractions have unequal denominators, 17/15 plus 12/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/15 and fraction 12/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 15 and 17. 255 is the LCM of 15 and 17. Multiplying the LCM 255 with the numerators and denominators of both fractions (17/15 x 255/255) + (12/17 x 255/255), and simplify further in order to have the common denominator. So the equivalent fraction for 17/15 is 289/255 and for 12/17 is 180/255. By simplifying this fraction addition 289/255 + 180/255, it becomes 469/255.

CALCULATION: 17/15 + 12/17 as a fraction
17/15 + 12/17 = (?)
17/15 + 12/17 = [(17 x 17) + (12 x 15)]/(15 x 17)
= (289 + 180)/255
= 469/255
17/15 + 12/17 = 469/255
17/15 plus 12/17 as a fraction is 469/255.

where
17/15 is a improper fraction as an addend,
12/17 is a proper fraction as an addend,
469/255 is the sum of 17/15 and 12/17.

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17/15 plus 12/17 as a decimal
17/15 + 12/17 = 469/255
469/255 = 1.8392
(17/15) + (12/17) as a decimal is 1.8392

where
1.8392 is the sum of 17/15 and 12/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/15 and 12/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/15 plus 12/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/15) + (12/17) using LCM Method:
What is 17/15 plus 12/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/15
Fraction B: 12/17

What to be found?
(17/15) + (12/17) = ?
Find what's the sum of 17/15 and 12/17.

step 2 Compare the denominators of fractions 17/15 and 12/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/15 and 12/17 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 17/15 and 12/17:
The LCM of 15 and 17 is 255.

step 4 Write the fractions 17/15 and 12/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/15 + 12/17
= [(17 x 255)/(15 x 255)] + [(12 x 255)/(17 x 255)]

step 5 Simplify the expression to have common denominator:
= 289/255 + 180/255

step 6 Take the common values out and rewrite the above expression like the below:
= 1/255 x (289/1 + 180/1)
= 1/255 x (289 + 180)

step 7Simplify the above expression further:
= 1/255 x 469
= 469/255
17/15 + 12/17 = 469/255

Hence,
17/15 plus 12/17 as a fraction is 469/255.

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17/15 + 12/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/15
Fraction B: 12/17

What to be found?
(17/15)+(12/17) = ?
Find what's the sum of 17/15 and 12/17.

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 (12 x 15), and find the product of both denominators of Fraction A and Fraction B (15 x 17) and rewrite the equation as like the below:
= (17 x 17) + (12 x 15)/(15 x 17)

step 3 Simplify and rewrite the fraction:
= (289 + 180)/255
17/15 + 12/17 = 469/255

Hence,
17/15 plus 12/17 in fraction is 469/255