17/9 + 17/20 as a fraction

Learn how to find what is 17/9 plus 17/20 in fraction form just in a few minutes. We have covered the easiest method to write 17/9 + 17/20 as a fraction and decimal.

Summary: 17/9 plus 17/20 = 493/180
Since both fractions have unequal denominators, 17/9 plus 17/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/9 and fraction 17/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 20. 180 is the LCM of 9 and 20. Multiplying the LCM 180 with the numerators and denominators of both fractions (17/9 x 180/180) + (17/20 x 180/180), and simplify further in order to have the common denominator. So the equivalent fraction for 17/9 is 340/180 and for 17/20 is 153/180. By simplifying this fraction addition 340/180 + 153/180, it becomes 493/180.

CALCULATION: 17/9 + 17/20 as a fraction
17/9 + 17/20 = (?)
17/9 + 17/20 = [(17 x 20) + (17 x 9)]/(9 x 20)
= (340 + 153)/180
= 493/180
17/9 + 17/20 = 493/180
17/9 plus 17/20 as a fraction is 493/180.

where
17/9 is a improper fraction as an addend,
17/20 is a proper fraction as an addend,
493/180 is the sum of 17/9 and 17/20.

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17/9 plus 17/20 as a decimal
17/9 + 17/20 = 493/180
493/180 = 2.7389
(17/9) + (17/20) as a decimal is 2.7389

where
2.7389 is the sum of 17/9 and 17/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/9 and 17/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/9 plus 17/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/9) + (17/20) using LCM Method:
What is 17/9 plus 17/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 17/20

What to be found?
(17/9) + (17/20) = ?
Find what's the sum of 17/9 and 17/20.

step 2 Compare the denominators of fractions 17/9 and 17/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/9 and 17/20 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 17/20:
The LCM of 9 and 20 is 180.

step 4 Write the fractions 17/9 and 17/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/9 + 17/20
= [(17 x 180)/(9 x 180)] + [(17 x 180)/(20 x 180)]

step 5 Simplify the expression to have common denominator:
= 340/180 + 153/180

step 6 Take the common values out and rewrite the above expression like the below:
= 1/180 x (340/1 + 153/1)
= 1/180 x (340 + 153)

step 7Simplify the above expression further:
= 1/180 x 493
= 493/180
17/9 + 17/20 = 493/180

Hence,
17/9 plus 17/20 as a fraction is 493/180.

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17/9 + 17/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/9
Fraction B: 17/20

What to be found?
(17/9)+(17/20) = ?
Find what's the sum of 17/9 and 17/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 20), find the product of numerator of Fraction B and denominator of Fraction A (17 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 20) and rewrite the equation as like the below:
= (17 x 20) + (17 x 9)/(9 x 20)

step 3 Simplify and rewrite the fraction:
= (340 + 153)/180
17/9 + 17/20 = 493/180

Hence,
17/9 plus 17/20 in fraction is 493/180