13/2 + 13/4 as a fraction

Learn how to find what is 13/2 plus 13/4 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 + 13/4 as a fraction and decimal.

Summary: 13/2 plus 13/4 = 39/4
Since both fractions have unequal denominators, 13/2 plus 13/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 13/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 4. 4 is the LCM of 2 and 4. Multiplying the LCM 4 with the numerators and denominators of both fractions (13/2 x 4/4) + (13/4 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 26/4 and for 13/4 is 13/4. By simplifying this fraction addition 26/4 + 13/4, it becomes 39/4.

CALCULATION: 13/2 + 13/4 as a fraction
13/2 + 13/4 = (?)
13/2 + 13/4 = [(13 x 4) + (13 x 2)]/(2 x 4)
= (52 + 26)/8
= 78/8
= (2 x 39)/(2 x 4)
= 39/4
13/2 + 13/4 = 39/4
13/2 plus 13/4 as a fraction is 39/4.

where
13/2 is a improper fraction as an addend,
13/4 is a improper fraction as an addend,
39/4 is the sum of 13/2 and 13/4.

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13/2 plus 13/4 as a decimal
13/2 + 13/4 = 39/4
39/4 = 9.75
(13/2) + (13/4) as a decimal is 9.75

where
9.75 is the sum of 13/2 and 13/4.

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

(13/2) + (13/4) using LCM Method:
What is 13/2 plus 13/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 13/4

What to be found?
(13/2) + (13/4) = ?
Find what's the sum of 13/2 and 13/4.

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

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

step 5 Simplify the expression to have common denominator:
= 26/4 + 13/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (26/1 + 13/1)
= 1/4 x (26 + 13)

step 7Simplify the above expression further:
= 1/4 x 39
= 39/4
13/2 + 13/4 = 39/4

Hence,
13/2 plus 13/4 as a fraction is 39/4.

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13/2 + 13/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 13/4

What to be found?
(13/2)+(13/4) = ?
Find what's the sum of 13/2 and 13/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 4), 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 4) and rewrite the equation as like the below:
= (13 x 4) + (13 x 2)/(2 x 4)

step 3 Simplify and rewrite the fraction:
= (52 + 26)/8
= 78/8
= 39/4
13/2 + 13/4 = 39/4

Hence,
13/2 plus 13/4 in fraction is 39/4