13/4 + 13/10 as a fraction

Learn how to find what is 13/4 plus 13/10 in fraction form just in a few minutes. We have covered the easiest method to write 13/4 + 13/10 as a fraction and decimal.

Summary: 13/4 plus 13/10 = 91/20
Since both fractions have unequal denominators, 13/4 plus 13/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/4 and fraction 13/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 10. 20 is the LCM of 4 and 10. Multiplying the LCM 20 with the numerators and denominators of both fractions (13/4 x 20/20) + (13/10 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 13/4 is 65/20 and for 13/10 is 26/20. By simplifying this fraction addition 65/20 + 26/20, it becomes 91/20.

CALCULATION: 13/4 + 13/10 as a fraction
13/4 + 13/10 = (?)
13/4 + 13/10 = [(13 x 10) + (13 x 4)]/(4 x 10)
= (130 + 52)/40
= 182/40
= (2 x 91)/(2 x 20)
= 91/20
13/4 + 13/10 = 91/20
13/4 plus 13/10 as a fraction is 91/20.

where
13/4 is a improper fraction as an addend,
13/10 is a improper fraction as an addend,
91/20 is the sum of 13/4 and 13/10.

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13/4 plus 13/10 as a decimal
13/4 + 13/10 = 91/20
91/20 = 4.55
(13/4) + (13/10) as a decimal is 4.55

where
4.55 is the sum of 13/4 and 13/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/4 and 13/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/4 plus 13/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/4) + (13/10) using LCM Method:
What is 13/4 plus 13/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 13/10

What to be found?
(13/4) + (13/10) = ?
Find what's the sum of 13/4 and 13/10.

step 2 Compare the denominators of fractions 13/4 and 13/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/4 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 13/4 and 13/10:
The LCM of 4 and 10 is 20.

step 4 Write the fractions 13/4 and 13/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/4 + 13/10
= [(13 x 20)/(4 x 20)] + [(13 x 20)/(10 x 20)]

step 5 Simplify the expression to have common denominator:
= 65/20 + 26/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (65/1 + 26/1)
= 1/20 x (65 + 26)

step 7Simplify the above expression further:
= 1/20 x 91
= 91/20
13/4 + 13/10 = 91/20

Hence,
13/4 plus 13/10 as a fraction is 91/20.

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13/4 + 13/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 13/10

What to be found?
(13/4)+(13/10) = ?
Find what's the sum of 13/4 and 13/10.

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 (13 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 10) and rewrite the equation as like the below:
= (13 x 10) + (13 x 4)/(4 x 10)

step 3 Simplify and rewrite the fraction:
= (130 + 52)/40
= 182/40
= 91/20
13/4 + 13/10 = 91/20

Hence,
13/4 plus 13/10 in fraction is 91/20