11/4 + 8/5 as a fraction

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

Summary: 11/4 plus 8/5 = 87/20
Since both fractions have unequal denominators, 11/4 plus 8/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 8/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 5. 20 is the LCM of 4 and 5. Multiplying the LCM 20 with the numerators and denominators of both fractions (11/4 x 20/20) + (8/5 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 55/20 and for 8/5 is 32/20. By simplifying this fraction addition 55/20 + 32/20, it becomes 87/20.

CALCULATION: 11/4 + 8/5 as a fraction
11/4 + 8/5 = (?)
11/4 + 8/5 = [(11 x 5) + (8 x 4)]/(4 x 5)
= (55 + 32)/20
= 87/20
11/4 + 8/5 = 87/20
11/4 plus 8/5 as a fraction is 87/20.

where
11/4 is a improper fraction as an addend,
8/5 is a improper fraction as an addend,
87/20 is the sum of 11/4 and 8/5.

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11/4 plus 8/5 as a decimal
11/4 + 8/5 = 87/20
87/20 = 4.35
(11/4) + (8/5) as a decimal is 4.35

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

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

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

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

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

step 2 Compare the denominators of fractions 11/4 and 8/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/4 and 8/5 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 11/4 and 8/5:
The LCM of 4 and 5 is 20.

step 4 Write the fractions 11/4 and 8/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/4 + 8/5
= [(11 x 20)/(4 x 20)] + [(8 x 20)/(5 x 20)]

step 5 Simplify the expression to have common denominator:
= 55/20 + 32/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (55/1 + 32/1)
= 1/20 x (55 + 32)

step 7Simplify the above expression further:
= 1/20 x 87
= 87/20
11/4 + 8/5 = 87/20

Hence,
11/4 plus 8/5 as a fraction is 87/20.

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

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

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

step 3 Simplify and rewrite the fraction:
= (55 + 32)/20
11/4 + 8/5 = 87/20

Hence,
11/4 plus 8/5 in fraction is 87/20