17/9 + 8/7 as a fraction

Learn how to find what is 17/9 plus 8/7 in fraction form just in a few minutes. We have covered the easiest method to write 17/9 + 8/7 as a fraction and decimal.

Summary: 17/9 plus 8/7 = 191/63
Since both fractions have unequal denominators, 17/9 plus 8/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/9 and fraction 8/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 7. 63 is the LCM of 9 and 7. Multiplying the LCM 63 with the numerators and denominators of both fractions (17/9 x 63/63) + (8/7 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 17/9 is 119/63 and for 8/7 is 72/63. By simplifying this fraction addition 119/63 + 72/63, it becomes 191/63.

CALCULATION: 17/9 + 8/7 as a fraction
17/9 + 8/7 = (?)
17/9 + 8/7 = [(17 x 7) + (8 x 9)]/(9 x 7)
= (119 + 72)/63
= 191/63
17/9 + 8/7 = 191/63
17/9 plus 8/7 as a fraction is 191/63.

where
17/9 is a improper fraction as an addend,
8/7 is a improper fraction as an addend,
191/63 is the sum of 17/9 and 8/7.

---

17/9 plus 8/7 as a decimal
17/9 + 8/7 = 191/63
191/63 = 3.0317
(17/9) + (8/7) as a decimal is 3.0317

where
3.0317 is the sum of 17/9 and 8/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/9 and 8/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/9 plus 8/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/9) + (8/7) using LCM Method:
What is 17/9 plus 8/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 8/7

What to be found?
(17/9) + (8/7) = ?
Find what's the sum of 17/9 and 8/7.

step 2 Compare the denominators of fractions 17/9 and 8/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/9 and 8/7 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 8/7:
The LCM of 9 and 7 is 63.

step 4 Write the fractions 17/9 and 8/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/9 + 8/7
= [(17 x 63)/(9 x 63)] + [(8 x 63)/(7 x 63)]

step 5 Simplify the expression to have common denominator:
= 119/63 + 72/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (119/1 + 72/1)
= 1/63 x (119 + 72)

step 7Simplify the above expression further:
= 1/63 x 191
= 191/63
17/9 + 8/7 = 191/63

Hence,
17/9 plus 8/7 as a fraction is 191/63.

---

17/9 + 8/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 8/7

What to be found?
(17/9)+(8/7) = ?
Find what's the sum of 17/9 and 8/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 7), find the product of numerator of Fraction B and denominator of Fraction A (8 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 7) and rewrite the equation as like the below:
= (17 x 7) + (8 x 9)/(9 x 7)

step 3 Simplify and rewrite the fraction:
= (119 + 72)/63
17/9 + 8/7 = 191/63

Hence,
17/9 plus 8/7 in fraction is 191/63