13/20 + 8 as a fraction

Learn how to find what is 13/20 plus 8 in fraction form just in a few minutes. We have covered the easiest method to write 13/20 + 8 as a fraction and decimal.

Summary: 13/20 plus 8 = 173/20
Since both fractions have unequal denominators, 13/20 plus 8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/20 and fraction 8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 20 and 1. 20 is the LCM of 20 and 1. Multiplying the LCM 20 with the numerators and denominators of both fractions (13/20 x 20/20) + (8 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 13/20 is 13/20 and for 8 is 160/20. By simplifying this fraction addition 13/20 + 160/20, it becomes 173/20.

CALCULATION: 13/20 + 8 as a fraction
13/20 + 8 = (?)
13/20 + 8/1 = [(13 x 1) + (8 x 20)]/(20 x 1)
= (13 + 160)/20
= 173/20
13/20 + 8 = 173/20
13/20 plus 8 as a fraction is 173/20.

where
13/20 is a proper fraction as an addend,
8 is a whole number as an addend,
173/20 is the sum of 13/20 and 8.

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13/20 plus 8 as a decimal
13/20 + 8 = 173/20
173/20 = 8.65
(13/20) + (8) as a decimal is 8.65

where
8.65 is the sum of 13/20 and 8.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/20 and 8 by adding fraction to a whole number . The sum in fraction form for 13/20 plus 8/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/20) + (8) using LCM Method:
What is 13/20 plus 8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/20
Fraction B: 8/1

What to be found?
(13/20) + (8) = ?
Find what's the sum of 13/20 and 8.

step 2 Compare the denominators of fractions 13/20 and 8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/20 and 8 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 13/20 and 8:
The LCM of 20 and 1 is 20.

step 4 Write the fractions 13/20 and 8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/20 + 8
= [(13 x 20)/(20 x 20)] + [(8 x 20)/(1 x 20)]

step 5 Simplify the expression to have common denominator:
= 13/20 + 160/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (13/1 + 160/1)
= 1/20 x (13 + 160)

step 7Simplify the above expression further:
= 1/20 x 173
= 173/20
13/20 + 8 = 173/20

Hence,
13/20 plus 8 as a fraction is 173/20.

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13/20 + 8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/20
Fraction B: 8/1

What to be found?
(13/20)+(8) = ?
Find what's the sum of 13/20 and 8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (8 x 20), and find the product of both denominators of Fraction A and Fraction B (20 x 1) and rewrite the equation as like the below:
= (13 x 1) + (8 x 20)/(20 x 1)

step 3 Simplify and rewrite the fraction:
= (13 + 160)/20
13/20 + 8 = 173/20

Hence,
13/20 plus 8 in fraction is 173/20