17/4 + 9/11 as a fraction

Learn how to find what is 17/4 plus 9/11 in fraction form just in a few minutes. We have covered the easiest method to write 17/4 + 9/11 as a fraction and decimal.

Summary: 17/4 plus 9/11 = 223/44
Since both fractions have unequal denominators, 17/4 plus 9/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/4 and fraction 9/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 11. 44 is the LCM of 4 and 11. Multiplying the LCM 44 with the numerators and denominators of both fractions (17/4 x 44/44) + (9/11 x 44/44), and simplify further in order to have the common denominator. So the equivalent fraction for 17/4 is 187/44 and for 9/11 is 36/44. By simplifying this fraction addition 187/44 + 36/44, it becomes 223/44.

CALCULATION: 17/4 + 9/11 as a fraction
17/4 + 9/11 = (?)
17/4 + 9/11 = [(17 x 11) + (9 x 4)]/(4 x 11)
= (187 + 36)/44
= 223/44
17/4 + 9/11 = 223/44
17/4 plus 9/11 as a fraction is 223/44.

where
17/4 is a improper fraction as an addend,
9/11 is a proper fraction as an addend,
223/44 is the sum of 17/4 and 9/11.

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17/4 plus 9/11 as a decimal
17/4 + 9/11 = 223/44
223/44 = 5.0682
(17/4) + (9/11) as a decimal is 5.0682

where
5.0682 is the sum of 17/4 and 9/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/4 and 9/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/4 plus 9/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/4) + (9/11) using LCM Method:
What is 17/4 plus 9/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 9/11

What to be found?
(17/4) + (9/11) = ?
Find what's the sum of 17/4 and 9/11.

step 2 Compare the denominators of fractions 17/4 and 9/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/4 and 9/11 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 17/4 and 9/11:
The LCM of 4 and 11 is 44.

step 4 Write the fractions 17/4 and 9/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/4 + 9/11
= [(17 x 44)/(4 x 44)] + [(9 x 44)/(11 x 44)]

step 5 Simplify the expression to have common denominator:
= 187/44 + 36/44

step 6 Take the common values out and rewrite the above expression like the below:
= 1/44 x (187/1 + 36/1)
= 1/44 x (187 + 36)

step 7Simplify the above expression further:
= 1/44 x 223
= 223/44
17/4 + 9/11 = 223/44

Hence,
17/4 plus 9/11 as a fraction is 223/44.

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17/4 + 9/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/4
Fraction B: 9/11

What to be found?
(17/4)+(9/11) = ?
Find what's the sum of 17/4 and 9/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 11), find the product of numerator of Fraction B and denominator of Fraction A (9 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 11) and rewrite the equation as like the below:
= (17 x 11) + (9 x 4)/(4 x 11)

step 3 Simplify and rewrite the fraction:
= (187 + 36)/44
17/4 + 9/11 = 223/44

Hence,
17/4 plus 9/11 in fraction is 223/44