9/2 + 13/3 as a fraction

Learn how to find what is 9/2 plus 13/3 in fraction form just in a few minutes. We have covered the easiest method to write 9/2 + 13/3 as a fraction and decimal.

Summary: 9/2 plus 13/3 = 53/6
Since both fractions have unequal denominators, 9/2 plus 13/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/2 and fraction 13/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 3. 6 is the LCM of 2 and 3. Multiplying the LCM 6 with the numerators and denominators of both fractions (9/2 x 6/6) + (13/3 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 9/2 is 27/6 and for 13/3 is 26/6. By simplifying this fraction addition 27/6 + 26/6, it becomes 53/6.

CALCULATION: 9/2 + 13/3 as a fraction
9/2 + 13/3 = (?)
9/2 + 13/3 = [(9 x 3) + (13 x 2)]/(2 x 3)
= (27 + 26)/6
= 53/6
9/2 + 13/3 = 53/6
9/2 plus 13/3 as a fraction is 53/6.

where
9/2 is a improper fraction as an addend,
13/3 is a improper fraction as an addend,
53/6 is the sum of 9/2 and 13/3.

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9/2 plus 13/3 as a decimal
9/2 + 13/3 = 53/6
53/6 = 8.8333
(9/2) + (13/3) as a decimal is 8.8333

where
8.8333 is the sum of 9/2 and 13/3.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/2 and 13/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/2 plus 13/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/2) + (13/3) using LCM Method:
What is 9/2 plus 13/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 13/3

What to be found?
(9/2) + (13/3) = ?
Find what's the sum of 9/2 and 13/3.

step 2 Compare the denominators of fractions 9/2 and 13/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/2 and 13/3 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 13/3:
The LCM of 2 and 3 is 6.

step 4 Write the fractions 9/2 and 13/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/2 + 13/3
= [(9 x 6)/(2 x 6)] + [(13 x 6)/(3 x 6)]

step 5 Simplify the expression to have common denominator:
= 27/6 + 26/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (27/1 + 26/1)
= 1/6 x (27 + 26)

step 7Simplify the above expression further:
= 1/6 x 53
= 53/6
9/2 + 13/3 = 53/6

Hence,
9/2 plus 13/3 as a fraction is 53/6.

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9/2 + 13/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 13/3

What to be found?
(9/2)+(13/3) = ?
Find what's the sum of 9/2 and 13/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 3), find the product of numerator of Fraction B and denominator of Fraction A (13 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 3) and rewrite the equation as like the below:
= (9 x 3) + (13 x 2)/(2 x 3)

step 3 Simplify and rewrite the fraction:
= (27 + 26)/6
9/2 + 13/3 = 53/6

Hence,
9/2 plus 13/3 in fraction is 53/6