13/5 + 9/10 as a fraction

Learn how to find what is 13/5 plus 9/10 in fraction form just in a few minutes. We have covered the easiest method to write 13/5 + 9/10 as a fraction and decimal.

Summary: 13/5 plus 9/10 = 7/2
Since both fractions have unequal denominators, 13/5 plus 9/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 9/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 10. 10 is the LCM of 5 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (13/5 x 10/10) + (9/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 26/10 and for 9/10 is 9/10. By simplifying this fraction addition 26/10 + 9/10, it becomes 35/10.

CALCULATION: 13/5 + 9/10 as a fraction
13/5 + 9/10 = (?)
13/5 + 9/10 = [(13 x 10) + (9 x 5)]/(5 x 10)
= (130 + 45)/50
= 175/50
= (25 x 7)/(25 x 2)
= 7/2
13/5 + 9/10 = 7/2
13/5 plus 9/10 as a fraction is 7/2.

where
13/5 is a improper fraction as an addend,
9/10 is a proper fraction as an addend,
7/2 is the sum of 13/5 and 9/10.

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13/5 plus 9/10 as a decimal
13/5 + 9/10 = 7/2
7/2 = 3.5
(13/5) + (9/10) as a decimal is 3.5

where
3.5 is the sum of 13/5 and 9/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/5 and 9/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/5 plus 9/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/5) + (9/10) using LCM Method:
What is 13/5 plus 9/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 9/10

What to be found?
(13/5) + (9/10) = ?
Find what's the sum of 13/5 and 9/10.

step 2 Compare the denominators of fractions 13/5 and 9/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/5 and 9/10 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 13/5 and 9/10:
The LCM of 5 and 10 is 10.

step 4 Write the fractions 13/5 and 9/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 + 9/10
= [(13 x 10)/(5 x 10)] + [(9 x 10)/(10 x 10)]

step 5 Simplify the expression to have common denominator:
= 26/10 + 9/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (26/1 + 9/1)
= 1/10 x (26 + 9)

step 7Simplify the above expression further:
= 1/10 x 35
= 35/10
= 7/2
13/5 + 9/10 = 7/2

Hence,
13/5 plus 9/10 as a fraction is 7/2.

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13/5 + 9/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/5
Fraction B: 9/10

What to be found?
(13/5)+(9/10) = ?
Find what's the sum of 13/5 and 9/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 10), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 10) and rewrite the equation as like the below:
= (13 x 10) + (9 x 5)/(5 x 10)

step 3 Simplify and rewrite the fraction:
= (130 + 45)/50
= 175/50
= 7/2
13/5 + 9/10 = 7/2

Hence,
13/5 plus 9/10 in fraction is 7/2