13/2 + 9 as a fraction

Learn how to find what is 13/2 plus 9 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 + 9 as a fraction and decimal.

Summary: 13/2 plus 9 = 31/2
Since both fractions have unequal denominators, 13/2 plus 9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 1. 2 is the LCM of 2 and 1. Multiplying the LCM 2 with the numerators and denominators of both fractions (13/2 x 2/2) + (9 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 13/2 and for 9 is 18/2. By simplifying this fraction addition 13/2 + 18/2, it becomes 31/2.

CALCULATION: 13/2 + 9 as a fraction
13/2 + 9 = (?)
13/2 + 9/1 = [(13 x 1) + (9 x 2)]/(2 x 1)
= (13 + 18)/2
= 31/2
13/2 + 9 = 31/2
13/2 plus 9 as a fraction is 31/2.

where
13/2 is a improper fraction as an addend,
9 is a whole number as an addend,
31/2 is the sum of 13/2 and 9.

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13/2 plus 9 as a decimal
13/2 + 9 = 31/2
31/2 = 15.5
(13/2) + (9) as a decimal is 15.5

where
15.5 is the sum of 13/2 and 9.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/2 and 9 by adding fraction to a whole number . The sum in fraction form for 13/2 plus 9/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/2) + (9) using LCM Method:
What is 13/2 plus 9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 9/1

What to be found?
(13/2) + (9) = ?
Find what's the sum of 13/2 and 9.

step 2 Compare the denominators of fractions 13/2 and 9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/2 and 9 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 13/2 and 9:
The LCM of 2 and 1 is 2.

step 4 Write the fractions 13/2 and 9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 + 9
= [(13 x 2)/(2 x 2)] + [(9 x 2)/(1 x 2)]

step 5 Simplify the expression to have common denominator:
= 13/2 + 18/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (13/1 + 18/1)
= 1/2 x (13 + 18)

step 7Simplify the above expression further:
= 1/2 x 31
= 31/2
13/2 + 9 = 31/2

Hence,
13/2 plus 9 as a fraction is 31/2.

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13/2 + 9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 9/1

What to be found?
(13/2)+(9) = ?
Find what's the sum of 13/2 and 9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (9 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 1) and rewrite the equation as like the below:
= (13 x 1) + (9 x 2)/(2 x 1)

step 3 Simplify and rewrite the fraction:
= (13 + 18)/2
13/2 + 9 = 31/2

Hence,
13/2 plus 9 in fraction is 31/2