17/9 + 9/14 as a fraction

Learn how to find what is 17/9 plus 9/14 in fraction form just in a few minutes. We have covered the easiest method to write 17/9 + 9/14 as a fraction and decimal.

Summary: 17/9 plus 9/14 = 319/126
Since both fractions have unequal denominators, 17/9 plus 9/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/9 and fraction 9/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 14. 126 is the LCM of 9 and 14. Multiplying the LCM 126 with the numerators and denominators of both fractions (17/9 x 126/126) + (9/14 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 17/9 is 238/126 and for 9/14 is 81/126. By simplifying this fraction addition 238/126 + 81/126, it becomes 319/126.

CALCULATION: 17/9 + 9/14 as a fraction
17/9 + 9/14 = (?)
17/9 + 9/14 = [(17 x 14) + (9 x 9)]/(9 x 14)
= (238 + 81)/126
= 319/126
17/9 + 9/14 = 319/126
17/9 plus 9/14 as a fraction is 319/126.

where
17/9 is a improper fraction as an addend,
9/14 is a proper fraction as an addend,
319/126 is the sum of 17/9 and 9/14.

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17/9 plus 9/14 as a decimal
17/9 + 9/14 = 319/126
319/126 = 2.5317
(17/9) + (9/14) as a decimal is 2.5317

where
2.5317 is the sum of 17/9 and 9/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/9 and 9/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/9 plus 9/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/9) + (9/14) using LCM Method:
What is 17/9 plus 9/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 9/14

What to be found?
(17/9) + (9/14) = ?
Find what's the sum of 17/9 and 9/14.

step 2 Compare the denominators of fractions 17/9 and 9/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/9 and 9/14 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 17/9 and 9/14:
The LCM of 9 and 14 is 126.

step 4 Write the fractions 17/9 and 9/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/9 + 9/14
= [(17 x 126)/(9 x 126)] + [(9 x 126)/(14 x 126)]

step 5 Simplify the expression to have common denominator:
= 238/126 + 81/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (238/1 + 81/1)
= 1/126 x (238 + 81)

step 7Simplify the above expression further:
= 1/126 x 319
= 319/126
17/9 + 9/14 = 319/126

Hence,
17/9 plus 9/14 as a fraction is 319/126.

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17/9 + 9/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 9/14

What to be found?
(17/9)+(9/14) = ?
Find what's the sum of 17/9 and 9/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 14), find the product of numerator of Fraction B and denominator of Fraction A (9 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 14) and rewrite the equation as like the below:
= (17 x 14) + (9 x 9)/(9 x 14)

step 3 Simplify and rewrite the fraction:
= (238 + 81)/126
17/9 + 9/14 = 319/126

Hence,
17/9 plus 9/14 in fraction is 319/126