9/1 + 11/2 as a fraction

Learn how to find what is 9/1 plus 11/2 in fraction form just in a few minutes. We have covered the easiest method to write 9/1 + 11/2 as a fraction and decimal.

Summary: 9/1 plus 11/2 = 29/2
Since both fractions have unequal denominators, 9/1 plus 11/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/1 and fraction 11/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 2. 2 is the LCM of 1 and 2. Multiplying the LCM 2 with the numerators and denominators of both fractions (9/1 x 2/2) + (11/2 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 9/1 is 18/2 and for 11/2 is 11/2. By simplifying this fraction addition 18/2 + 11/2, it becomes 29/2.

CALCULATION: 9/1 + 11/2 as a fraction
9/1 + 11/2 = (?)
9/1 + 11/2 = [(9 x 2) + (11 x 1)]/(1 x 2)
= (18 + 11)/2
= 29/2
9/1 + 11/2 = 29/2
9/1 plus 11/2 as a fraction is 29/2.

where
9/1 is a improper fraction as an addend,
11/2 is a improper fraction as an addend,
29/2 is the sum of 9/1 and 11/2.

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9/1 plus 11/2 as a decimal
9/1 + 11/2 = 29/2
29/2 = 14.5
(9/1) + (11/2) as a decimal is 14.5

where
14.5 is the sum of 9/1 and 11/2.

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

(9/1) + (11/2) using LCM Method:
What is 9/1 plus 11/2 as a fraction?

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

What to be found?
(9/1) + (11/2) = ?
Find what's the sum of 9/1 and 11/2.

step 2 Compare the denominators of fractions 9/1 and 11/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/1 and 11/2 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 9/1 and 11/2:
The LCM of 1 and 2 is 2.

step 4 Write the fractions 9/1 and 11/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/1 + 11/2
= [(9 x 2)/(1 x 2)] + [(11 x 2)/(2 x 2)]

step 5 Simplify the expression to have common denominator:
= 18/2 + 11/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (18/1 + 11/1)
= 1/2 x (18 + 11)

step 7Simplify the above expression further:
= 1/2 x 29
= 29/2
9/1 + 11/2 = 29/2

Hence,
9/1 plus 11/2 as a fraction is 29/2.

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

What to be found?
(9/1)+(11/2) = ?
Find what's the sum of 9/1 and 11/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 2), find the product of numerator of Fraction B and denominator of Fraction A (11 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 2) and rewrite the equation as like the below:
= (9 x 2) + (11 x 1)/(1 x 2)

step 3 Simplify and rewrite the fraction:
= (18 + 11)/2
9/1 + 11/2 = 29/2

Hence,
9/1 plus 11/2 in fraction is 29/2