9/2 + 14/11 as a fraction

Learn how to find what is 9/2 plus 14/11 in fraction form just in a few minutes. We have covered the easiest method to write 9/2 + 14/11 as a fraction and decimal.

Summary: 9/2 plus 14/11 = 127/22
Since both fractions have unequal denominators, 9/2 plus 14/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/2 and fraction 14/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 11. 22 is the LCM of 2 and 11. Multiplying the LCM 22 with the numerators and denominators of both fractions (9/2 x 22/22) + (14/11 x 22/22), and simplify further in order to have the common denominator. So the equivalent fraction for 9/2 is 99/22 and for 14/11 is 28/22. By simplifying this fraction addition 99/22 + 28/22, it becomes 127/22.

CALCULATION: 9/2 + 14/11 as a fraction
9/2 + 14/11 = (?)
9/2 + 14/11 = [(9 x 11) + (14 x 2)]/(2 x 11)
= (99 + 28)/22
= 127/22
9/2 + 14/11 = 127/22
9/2 plus 14/11 as a fraction is 127/22.

where
9/2 is a improper fraction as an addend,
14/11 is a improper fraction as an addend,
127/22 is the sum of 9/2 and 14/11.

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9/2 plus 14/11 as a decimal
9/2 + 14/11 = 127/22
127/22 = 5.7727
(9/2) + (14/11) as a decimal is 5.7727

where
5.7727 is the sum of 9/2 and 14/11.

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

(9/2) + (14/11) using LCM Method:
What is 9/2 plus 14/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 14/11

What to be found?
(9/2) + (14/11) = ?
Find what's the sum of 9/2 and 14/11.

step 2 Compare the denominators of fractions 9/2 and 14/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/2 and 14/11 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 9/2 and 14/11:
The LCM of 2 and 11 is 22.

step 4 Write the fractions 9/2 and 14/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/2 + 14/11
= [(9 x 22)/(2 x 22)] + [(14 x 22)/(11 x 22)]

step 5 Simplify the expression to have common denominator:
= 99/22 + 28/22

step 6 Take the common values out and rewrite the above expression like the below:
= 1/22 x (99/1 + 28/1)
= 1/22 x (99 + 28)

step 7Simplify the above expression further:
= 1/22 x 127
= 127/22
9/2 + 14/11 = 127/22

Hence,
9/2 plus 14/11 as a fraction is 127/22.

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9/2 + 14/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 14/11

What to be found?
(9/2)+(14/11) = ?
Find what's the sum of 9/2 and 14/11.

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

step 3 Simplify and rewrite the fraction:
= (99 + 28)/22
9/2 + 14/11 = 127/22

Hence,
9/2 plus 14/11 in fraction is 127/22