5/4 + 13/20 as a fraction

Learn how to find what is 5/4 plus 13/20 in fraction form just in a few minutes. We have covered the easiest method to write 5/4 + 13/20 as a fraction and decimal.

Summary: 5/4 plus 13/20 = 19/10
Since both fractions have unequal denominators, 5/4 plus 13/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/4 and fraction 13/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 20. 20 is the LCM of 4 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (5/4 x 20/20) + (13/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 5/4 is 25/20 and for 13/20 is 13/20. By simplifying this fraction addition 25/20 + 13/20, it becomes 38/20.

CALCULATION: 5/4 + 13/20 as a fraction
5/4 + 13/20 = (?)
5/4 + 13/20 = [(5 x 20) + (13 x 4)]/(4 x 20)
= (100 + 52)/80
= 152/80
= (8 x 19)/(8 x 10)
= 19/10
5/4 + 13/20 = 19/10
5/4 plus 13/20 as a fraction is 19/10.

where
5/4 is a improper fraction as an addend,
13/20 is a proper fraction as an addend,
19/10 is the sum of 5/4 and 13/20.

---

5/4 plus 13/20 as a decimal
5/4 + 13/20 = 19/10
19/10 = 1.9
(5/4) + (13/20) as a decimal is 1.9

where
1.9 is the sum of 5/4 and 13/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/4 and 13/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/4 plus 13/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/4) + (13/20) using LCM Method:
What is 5/4 plus 13/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 13/20

What to be found?
(5/4) + (13/20) = ?
Find what's the sum of 5/4 and 13/20.

step 2 Compare the denominators of fractions 5/4 and 13/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/4 and 13/20 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 13/20:
The LCM of 4 and 20 is 20.

step 4 Write the fractions 5/4 and 13/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/4 + 13/20
= [(5 x 20)/(4 x 20)] + [(13 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 25/20 + 13/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (25/1 + 13/1)
= 1/20 x (25 + 13)

step 7Simplify the above expression further:
= 1/20 x 38
= 38/20
= 19/10
5/4 + 13/20 = 19/10

Hence,
5/4 plus 13/20 as a fraction is 19/10.

---

5/4 + 13/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 13/20

What to be found?
(5/4)+(13/20) = ?
Find what's the sum of 5/4 and 13/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 20), 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 20) and rewrite the equation as like the below:
= (5 x 20) + (13 x 4)/(4 x 20)

step 3 Simplify and rewrite the fraction:
= (100 + 52)/80
= 152/80
= 19/10
5/4 + 13/20 = 19/10

Hence,
5/4 plus 13/20 in fraction is 19/10