8/5 + 9/20 as a fraction

Learn how to find what is 8/5 plus 9/20 in fraction form just in a few minutes. We have covered the easiest method to write 8/5 + 9/20 as a fraction and decimal.

Summary: 8/5 plus 9/20 = 41/20
Since both fractions have unequal denominators, 8/5 plus 9/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/5 and fraction 9/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 20. 20 is the LCM of 5 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (8/5 x 20/20) + (9/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 8/5 is 32/20 and for 9/20 is 9/20. By simplifying this fraction addition 32/20 + 9/20, it becomes 41/20.

CALCULATION: 8/5 + 9/20 as a fraction
8/5 + 9/20 = (?)
8/5 + 9/20 = [(8 x 20) + (9 x 5)]/(5 x 20)
= (160 + 45)/100
= 205/100
= (5 x 41)/(5 x 20)
= 41/20
8/5 + 9/20 = 41/20
8/5 plus 9/20 as a fraction is 41/20.

where
8/5 is a improper fraction as an addend,
9/20 is a proper fraction as an addend,
41/20 is the sum of 8/5 and 9/20.

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8/5 plus 9/20 as a decimal
8/5 + 9/20 = 41/20
41/20 = 2.05
(8/5) + (9/20) as a decimal is 2.05

where
2.05 is the sum of 8/5 and 9/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/5 and 9/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/5 plus 9/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/5) + (9/20) using LCM Method:
What is 8/5 plus 9/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 9/20

What to be found?
(8/5) + (9/20) = ?
Find what's the sum of 8/5 and 9/20.

step 2 Compare the denominators of fractions 8/5 and 9/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/5 and 9/20 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 8/5 and 9/20:
The LCM of 5 and 20 is 20.

step 4 Write the fractions 8/5 and 9/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/5 + 9/20
= [(8 x 20)/(5 x 20)] + [(9 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 32/20 + 9/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (32/1 + 9/1)
= 1/20 x (32 + 9)

step 7Simplify the above expression further:
= 1/20 x 41
= 41/20
8/5 + 9/20 = 41/20

Hence,
8/5 plus 9/20 as a fraction is 41/20.

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8/5 + 9/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 9/20

What to be found?
(8/5)+(9/20) = ?
Find what's the sum of 8/5 and 9/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 20), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 20) and rewrite the equation as like the below:
= (8 x 20) + (9 x 5)/(5 x 20)

step 3 Simplify and rewrite the fraction:
= (160 + 45)/100
= 205/100
= 41/20
8/5 + 9/20 = 41/20

Hence,
8/5 plus 9/20 in fraction is 41/20