5/4 + 13 as a fraction

Learn how to find what is 5/4 plus 13 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 + 13 as a fraction and decimal.

Summary: 5/4 plus 13 = 57/4
Since both fractions have unequal denominators, 5/4 plus 13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 1. 4 is the LCM of 4 and 1. Multiplying the LCM 4 with the numerators and denominators of both fractions (5/4 x 4/4) + (13 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 5/4 and for 13 is 52/4. By simplifying this fraction addition 5/4 + 52/4, it becomes 57/4.

CALCULATION: 5/4 + 13 as a fraction
5/4 + 13 = (?)
5/4 + 13/1 = [(5 x 1) + (13 x 4)]/(4 x 1)
= (5 + 52)/4
= 57/4
5/4 + 13 = 57/4
5/4 plus 13 as a fraction is 57/4.

where
5/4 is a improper fraction as an addend,
13 is a whole number as an addend,
57/4 is the sum of 5/4 and 13.

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5/4 plus 13 as a decimal
5/4 + 13 = 57/4
57/4 = 14.25
(5/4) + (13) as a decimal is 14.25

where
14.25 is the sum of 5/4 and 13.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/4 and 13 by adding fraction to a whole number . The sum in fraction form for 5/4 plus 13/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/4) + (13) using LCM Method:
What is 5/4 plus 13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 13/1

What to be found?
(5/4) + (13) = ?
Find what's the sum of 5/4 and 13.

step 2 Compare the denominators of fractions 5/4 and 13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/4 and 13 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 5/4 and 13:
The LCM of 4 and 1 is 4.

step 4 Write the fractions 5/4 and 13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 + 13
= [(5 x 4)/(4 x 4)] + [(13 x 4)/(1 x 4)]

step 5 Simplify the expression to have common denominator:
= 5/4 + 52/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (5/1 + 52/1)
= 1/4 x (5 + 52)

step 7Simplify the above expression further:
= 1/4 x 57
= 57/4
5/4 + 13 = 57/4

Hence,
5/4 plus 13 as a fraction is 57/4.

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5/4 + 13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 13/1

What to be found?
(5/4)+(13) = ?
Find what's the sum of 5/4 and 13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 1), 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 1) and rewrite the equation as like the below:
= (5 x 1) + (13 x 4)/(4 x 1)

step 3 Simplify and rewrite the fraction:
= (5 + 52)/4
5/4 + 13 = 57/4

Hence,
5/4 plus 13 in fraction is 57/4