11/8 + 5/4 as a fraction

Learn how to find what is 11/8 plus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 11/8 + 5/4 as a fraction and decimal.

Summary: 11/8 plus 5/4 = 21/8
Since both fractions have unequal denominators, 11/8 plus 5/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/8 and fraction 5/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 4. 8 is the LCM of 8 and 4. Multiplying the LCM 8 with the numerators and denominators of both fractions (11/8 x 8/8) + (5/4 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 11/8 is 11/8 and for 5/4 is 10/8. By simplifying this fraction addition 11/8 + 10/8, it becomes 21/8.

CALCULATION: 11/8 + 5/4 as a fraction
11/8 + 5/4 = (?)
11/8 + 5/4 = [(11 x 4) + (5 x 8)]/(8 x 4)
= (44 + 40)/32
= 84/32
= (4 x 21)/(4 x 8)
= 21/8
11/8 + 5/4 = 21/8
11/8 plus 5/4 as a fraction is 21/8.

where
11/8 is a improper fraction as an addend,
5/4 is a improper fraction as an addend,
21/8 is the sum of 11/8 and 5/4.

---

11/8 plus 5/4 as a decimal
11/8 + 5/4 = 21/8
21/8 = 2.625
(11/8) + (5/4) as a decimal is 2.625

where
2.625 is the sum of 11/8 and 5/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/8 and 5/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/8 plus 5/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/8) + (5/4) using LCM Method:
What is 11/8 plus 5/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 5/4

What to be found?
(11/8) + (5/4) = ?
Find what's the sum of 11/8 and 5/4.

step 2 Compare the denominators of fractions 11/8 and 5/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/8 and 5/4 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 11/8 and 5/4:
The LCM of 8 and 4 is 8.

step 4 Write the fractions 11/8 and 5/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/8 + 5/4
= [(11 x 8)/(8 x 8)] + [(5 x 8)/(4 x 8)]

step 5 Simplify the expression to have common denominator:
= 11/8 + 10/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (11/1 + 10/1)
= 1/8 x (11 + 10)

step 7Simplify the above expression further:
= 1/8 x 21
= 21/8
11/8 + 5/4 = 21/8

Hence,
11/8 plus 5/4 as a fraction is 21/8.

---

11/8 + 5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/8
Fraction B: 5/4

What to be found?
(11/8)+(5/4) = ?
Find what's the sum of 11/8 and 5/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 4) and rewrite the equation as like the below:
= (11 x 4) + (5 x 8)/(8 x 4)

step 3 Simplify and rewrite the fraction:
= (44 + 40)/32
= 84/32
= 21/8
11/8 + 5/4 = 21/8

Hence,
11/8 plus 5/4 in fraction is 21/8