11/9 + 17/14 as a fraction

Learn how to find what is 11/9 plus 17/14 in fraction form just in a few minutes. We have covered the easiest method to write 11/9 + 17/14 as a fraction and decimal.

Summary: 11/9 plus 17/14 = 307/126
Since both fractions have unequal denominators, 11/9 plus 17/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/9 and fraction 17/14 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 (11/9 x 126/126) + (17/14 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 11/9 is 154/126 and for 17/14 is 153/126. By simplifying this fraction addition 154/126 + 153/126, it becomes 307/126.

CALCULATION: 11/9 + 17/14 as a fraction
11/9 + 17/14 = (?)
11/9 + 17/14 = [(11 x 14) + (17 x 9)]/(9 x 14)
= (154 + 153)/126
= 307/126
11/9 + 17/14 = 307/126
11/9 plus 17/14 as a fraction is 307/126.

where
11/9 is a improper fraction as an addend,
17/14 is a improper fraction as an addend,
307/126 is the sum of 11/9 and 17/14.

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11/9 plus 17/14 as a decimal
11/9 + 17/14 = 307/126
307/126 = 2.4365
(11/9) + (17/14) as a decimal is 2.4365

where
2.4365 is the sum of 11/9 and 17/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/9 and 17/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/9 plus 17/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/9) + (17/14) using LCM Method:
What is 11/9 plus 17/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 17/14

What to be found?
(11/9) + (17/14) = ?
Find what's the sum of 11/9 and 17/14.

step 2 Compare the denominators of fractions 11/9 and 17/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/9 and 17/14 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 11/9 and 17/14:
The LCM of 9 and 14 is 126.

step 4 Write the fractions 11/9 and 17/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/9 + 17/14
= [(11 x 126)/(9 x 126)] + [(17 x 126)/(14 x 126)]

step 5 Simplify the expression to have common denominator:
= 154/126 + 153/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (154/1 + 153/1)
= 1/126 x (154 + 153)

step 7Simplify the above expression further:
= 1/126 x 307
= 307/126
11/9 + 17/14 = 307/126

Hence,
11/9 plus 17/14 as a fraction is 307/126.

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11/9 + 17/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 17/14

What to be found?
(11/9)+(17/14) = ?
Find what's the sum of 11/9 and 17/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 14), 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 14) and rewrite the equation as like the below:
= (11 x 14) + (17 x 9)/(9 x 14)

step 3 Simplify and rewrite the fraction:
= (154 + 153)/126
11/9 + 17/14 = 307/126

Hence,
11/9 plus 17/14 in fraction is 307/126