5/6 + 9/20 as a fraction

Learn how to find what is 5/6 plus 9/20 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 + 9/20 as a fraction and decimal.

Summary: 5/6 plus 9/20 = 77/60
Since both fractions have unequal denominators, 5/6 plus 9/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 9/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 20. 60 is the LCM of 6 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (5/6 x 60/60) + (9/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 50/60 and for 9/20 is 27/60. By simplifying this fraction addition 50/60 + 27/60, it becomes 77/60.

CALCULATION: 5/6 + 9/20 as a fraction
5/6 + 9/20 = (?)
5/6 + 9/20 = [(5 x 20) + (9 x 6)]/(6 x 20)
= (100 + 54)/120
= 154/120
= (2 x 77)/(2 x 60)
= 77/60
5/6 + 9/20 = 77/60
5/6 plus 9/20 as a fraction is 77/60.

where
5/6 is a proper fraction as an addend,
9/20 is a proper fraction as an addend,
77/60 is the sum of 5/6 and 9/20.

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5/6 plus 9/20 as a decimal
5/6 + 9/20 = 77/60
77/60 = 1.2833
(5/6) + (9/20) as a decimal is 1.2833

where
1.2833 is the sum of 5/6 and 9/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 9/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/6 plus 9/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/6) + (9/20) using LCM Method:
What is 5/6 plus 9/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 9/20

What to be found?
(5/6) + (9/20) = ?
Find what's the sum of 5/6 and 9/20.

step 2 Compare the denominators of fractions 5/6 and 9/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 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 5/6 and 9/20:
The LCM of 6 and 20 is 60.

step 4 Write the fractions 5/6 and 9/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 + 9/20
= [(5 x 60)/(6 x 60)] + [(9 x 60)/(20 x 60)]

step 5 Simplify the expression to have common denominator:
= 50/60 + 27/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (50/1 + 27/1)
= 1/60 x (50 + 27)

step 7Simplify the above expression further:
= 1/60 x 77
= 77/60
5/6 + 9/20 = 77/60

Hence,
5/6 plus 9/20 as a fraction is 77/60.

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5/6 + 9/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 9/20

What to be found?
(5/6)+(9/20) = ?
Find what's the sum of 5/6 and 9/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 20), find the product of numerator of Fraction B and denominator of Fraction A (9 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 20) and rewrite the equation as like the below:
= (5 x 20) + (9 x 6)/(6 x 20)

step 3 Simplify and rewrite the fraction:
= (100 + 54)/120
= 154/120
= 77/60
5/6 + 9/20 = 77/60

Hence,
5/6 plus 9/20 in fraction is 77/60