8/3 + 1/20 as a fraction

Learn how to find what is 8/3 plus 1/20 in fraction form just in a few minutes. We have covered the easiest method to write 8/3 + 1/20 as a fraction and decimal.

Summary: 8/3 plus 1/20 = 163/60
Since both fractions have unequal denominators, 8/3 plus 1/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/3 and fraction 1/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 20. 60 is the LCM of 3 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (8/3 x 60/60) + (1/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 8/3 is 160/60 and for 1/20 is 3/60. By simplifying this fraction addition 160/60 + 3/60, it becomes 163/60.

CALCULATION: 8/3 + 1/20 as a fraction
8/3 + 1/20 = (?)
8/3 + 1/20 = [(8 x 20) + (1 x 3)]/(3 x 20)
= (160 + 3)/60
= 163/60
8/3 + 1/20 = 163/60
8/3 plus 1/20 as a fraction is 163/60.

where
8/3 is a improper fraction as an addend,
1/20 is a proper fraction as an addend,
163/60 is the sum of 8/3 and 1/20.

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8/3 plus 1/20 as a decimal
8/3 + 1/20 = 163/60
163/60 = 2.7167
(8/3) + (1/20) as a decimal is 2.7167

where
2.7167 is the sum of 8/3 and 1/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/3 and 1/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/3 plus 1/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/3) + (1/20) using LCM Method:
What is 8/3 plus 1/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 1/20

What to be found?
(8/3) + (1/20) = ?
Find what's the sum of 8/3 and 1/20.

step 2 Compare the denominators of fractions 8/3 and 1/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/3 and 1/20 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 8/3 and 1/20:
The LCM of 3 and 20 is 60.

step 4 Write the fractions 8/3 and 1/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/3 + 1/20
= [(8 x 60)/(3 x 60)] + [(1 x 60)/(20 x 60)]

step 5 Simplify the expression to have common denominator:
= 160/60 + 3/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (160/1 + 3/1)
= 1/60 x (160 + 3)

step 7Simplify the above expression further:
= 1/60 x 163
= 163/60
8/3 + 1/20 = 163/60

Hence,
8/3 plus 1/20 as a fraction is 163/60.

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8/3 + 1/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 1/20

What to be found?
(8/3)+(1/20) = ?
Find what's the sum of 8/3 and 1/20.

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 (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 20) and rewrite the equation as like the below:
= (8 x 20) + (1 x 3)/(3 x 20)

step 3 Simplify and rewrite the fraction:
= (160 + 3)/60
8/3 + 1/20 = 163/60

Hence,
8/3 plus 1/20 in fraction is 163/60