5/6 + 6 as a fraction

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

Summary: 5/6 plus 6 = 41/6
Since both fractions have unequal denominators, 5/6 plus 6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 1. 6 is the LCM of 6 and 1. Multiplying the LCM 6 with the numerators and denominators of both fractions (5/6 x 6/6) + (6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 5/6 and for 6 is 36/6. By simplifying this fraction addition 5/6 + 36/6, it becomes 41/6.

CALCULATION: 5/6 + 6 as a fraction
5/6 + 6 = (?)
5/6 + 6/1 = [(5 x 1) + (6 x 6)]/(6 x 1)
= (5 + 36)/6
= 41/6
5/6 + 6 = 41/6
5/6 plus 6 as a fraction is 41/6.

where
5/6 is a proper fraction as an addend,
6 is a whole number as an addend,
41/6 is the sum of 5/6 and 6.

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5/6 plus 6 as a decimal
5/6 + 6 = 41/6
41/6 = 6.8333
(5/6) + (6) as a decimal is 6.8333

where
6.8333 is the sum of 5/6 and 6.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 6 by adding fraction to a whole number . The sum in fraction form for 5/6 plus 6/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 5/6 and 6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 6 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 6:
The LCM of 6 and 1 is 6.

step 4 Write the fractions 5/6 and 6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 + 6
= [(5 x 6)/(6 x 6)] + [(6 x 6)/(1 x 6)]

step 5 Simplify the expression to have common denominator:
= 5/6 + 36/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (5/1 + 36/1)
= 1/6 x (5 + 36)

step 7Simplify the above expression further:
= 1/6 x 41
= 41/6
5/6 + 6 = 41/6

Hence,
5/6 plus 6 as a fraction is 41/6.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 1), find the product of numerator of Fraction B and denominator of Fraction A (6 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 1) and rewrite the equation as like the below:
= (5 x 1) + (6 x 6)/(6 x 1)

step 3 Simplify and rewrite the fraction:
= (5 + 36)/6
5/6 + 6 = 41/6

Hence,
5/6 plus 6 in fraction is 41/6