5/4 + 13/14 as a fraction

Learn how to find what is 5/4 plus 13/14 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 + 13/14 as a fraction and decimal.

Summary: 5/4 plus 13/14 = 61/28
Since both fractions have unequal denominators, 5/4 plus 13/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 13/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 14. 28 is the LCM of 4 and 14. Multiplying the LCM 28 with the numerators and denominators of both fractions (5/4 x 28/28) + (13/14 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 35/28 and for 13/14 is 26/28. By simplifying this fraction addition 35/28 + 26/28, it becomes 61/28.

CALCULATION: 5/4 + 13/14 as a fraction
5/4 + 13/14 = (?)
5/4 + 13/14 = [(5 x 14) + (13 x 4)]/(4 x 14)
= (70 + 52)/56
= 122/56
= (2 x 61)/(2 x 28)
= 61/28
5/4 + 13/14 = 61/28
5/4 plus 13/14 as a fraction is 61/28.

where
5/4 is a improper fraction as an addend,
13/14 is a proper fraction as an addend,
61/28 is the sum of 5/4 and 13/14.

---

5/4 plus 13/14 as a decimal
5/4 + 13/14 = 61/28
61/28 = 2.1786
(5/4) + (13/14) as a decimal is 2.1786

where
2.1786 is the sum of 5/4 and 13/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/4 and 13/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/4 plus 13/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/4) + (13/14) using LCM Method:
What is 5/4 plus 13/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 13/14

What to be found?
(5/4) + (13/14) = ?
Find what's the sum of 5/4 and 13/14.

step 2 Compare the denominators of fractions 5/4 and 13/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/4 and 13/14 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 13/14:
The LCM of 4 and 14 is 28.

step 4 Write the fractions 5/4 and 13/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 + 13/14
= [(5 x 28)/(4 x 28)] + [(13 x 28)/(14 x 28)]

step 5 Simplify the expression to have common denominator:
= 35/28 + 26/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (35/1 + 26/1)
= 1/28 x (35 + 26)

step 7Simplify the above expression further:
= 1/28 x 61
= 61/28
5/4 + 13/14 = 61/28

Hence,
5/4 plus 13/14 as a fraction is 61/28.

---

5/4 + 13/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 13/14

What to be found?
(5/4)+(13/14) = ?
Find what's the sum of 5/4 and 13/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 14), 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 14) and rewrite the equation as like the below:
= (5 x 14) + (13 x 4)/(4 x 14)

step 3 Simplify and rewrite the fraction:
= (70 + 52)/56
= 122/56
= 61/28
5/4 + 13/14 = 61/28

Hence,
5/4 plus 13/14 in fraction is 61/28