9/2 + 13/10 as a fraction

Learn how to find what is 9/2 plus 13/10 in fraction form just in a few minutes. We have covered the easiest method to write 9/2 + 13/10 as a fraction and decimal.

Summary: 9/2 plus 13/10 = 29/5
Since both fractions have unequal denominators, 9/2 plus 13/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/2 and fraction 13/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 10. 10 is the LCM of 2 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (9/2 x 10/10) + (13/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 9/2 is 45/10 and for 13/10 is 13/10. By simplifying this fraction addition 45/10 + 13/10, it becomes 58/10.

CALCULATION: 9/2 + 13/10 as a fraction
9/2 + 13/10 = (?)
9/2 + 13/10 = [(9 x 10) + (13 x 2)]/(2 x 10)
= (90 + 26)/20
= 116/20
= (4 x 29)/(4 x 5)
= 29/5
9/2 + 13/10 = 29/5
9/2 plus 13/10 as a fraction is 29/5.

where
9/2 is a improper fraction as an addend,
13/10 is a improper fraction as an addend,
29/5 is the sum of 9/2 and 13/10.

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9/2 plus 13/10 as a decimal
9/2 + 13/10 = 29/5
29/5 = 5.8
(9/2) + (13/10) as a decimal is 5.8

where
5.8 is the sum of 9/2 and 13/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/2 and 13/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/2 plus 13/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/2) + (13/10) using LCM Method:
What is 9/2 plus 13/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 13/10

What to be found?
(9/2) + (13/10) = ?
Find what's the sum of 9/2 and 13/10.

step 2 Compare the denominators of fractions 9/2 and 13/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/2 and 13/10 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 13/10:
The LCM of 2 and 10 is 10.

step 4 Write the fractions 9/2 and 13/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/2 + 13/10
= [(9 x 10)/(2 x 10)] + [(13 x 10)/(10 x 10)]

step 5 Simplify the expression to have common denominator:
= 45/10 + 13/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (45/1 + 13/1)
= 1/10 x (45 + 13)

step 7Simplify the above expression further:
= 1/10 x 58
= 58/10
= 29/5
9/2 + 13/10 = 29/5

Hence,
9/2 plus 13/10 as a fraction is 29/5.

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9/2 + 13/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 13/10

What to be found?
(9/2)+(13/10) = ?
Find what's the sum of 9/2 and 13/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 10), 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 10) and rewrite the equation as like the below:
= (9 x 10) + (13 x 2)/(2 x 10)

step 3 Simplify and rewrite the fraction:
= (90 + 26)/20
= 116/20
= 29/5
9/2 + 13/10 = 29/5

Hence,
9/2 plus 13/10 in fraction is 29/5