11/2 + 5/6 as a fraction

Learn how to find what is 11/2 plus 5/6 in fraction form just in a few minutes. We have covered the easiest method to write 11/2 + 5/6 as a fraction and decimal.

Summary: 11/2 plus 5/6 = 19/3
Since both fractions have unequal denominators, 11/2 plus 5/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 5/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 6. 6 is the LCM of 2 and 6. Multiplying the LCM 6 with the numerators and denominators of both fractions (11/2 x 6/6) + (5/6 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 11/2 is 33/6 and for 5/6 is 5/6. By simplifying this fraction addition 33/6 + 5/6, it becomes 38/6.

CALCULATION: 11/2 + 5/6 as a fraction
11/2 + 5/6 = (?)
11/2 + 5/6 = [(11 x 6) + (5 x 2)]/(2 x 6)
= (66 + 10)/12
= 76/12
= (4 x 19)/(4 x 3)
= 19/3
11/2 + 5/6 = 19/3
11/2 plus 5/6 as a fraction is 19/3.

where
11/2 is a improper fraction as an addend,
5/6 is a proper fraction as an addend,
19/3 is the sum of 11/2 and 5/6.

---

11/2 plus 5/6 as a decimal
11/2 + 5/6 = 19/3
19/3 = 6.3333
(11/2) + (5/6) as a decimal is 6.3333

where
6.3333 is the sum of 11/2 and 5/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/2 and 5/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/2 plus 5/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/2) + (5/6) using LCM Method:
What is 11/2 plus 5/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 5/6

What to be found?
(11/2) + (5/6) = ?
Find what's the sum of 11/2 and 5/6.

step 2 Compare the denominators of fractions 11/2 and 5/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/2 and 5/6 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 11/2 and 5/6:
The LCM of 2 and 6 is 6.

step 4 Write the fractions 11/2 and 5/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/2 + 5/6
= [(11 x 6)/(2 x 6)] + [(5 x 6)/(6 x 6)]

step 5 Simplify the expression to have common denominator:
= 33/6 + 5/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (33/1 + 5/1)
= 1/6 x (33 + 5)

step 7Simplify the above expression further:
= 1/6 x 38
= 38/6
= 19/3
11/2 + 5/6 = 19/3

Hence,
11/2 plus 5/6 as a fraction is 19/3.

---

11/2 + 5/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 5/6

What to be found?
(11/2)+(5/6) = ?
Find what's the sum of 11/2 and 5/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 6), find the product of numerator of Fraction B and denominator of Fraction A (5 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 6) and rewrite the equation as like the below:
= (11 x 6) + (5 x 2)/(2 x 6)

step 3 Simplify and rewrite the fraction:
= (66 + 10)/12
= 76/12
= 19/3
11/2 + 5/6 = 19/3

Hence,
11/2 plus 5/6 in fraction is 19/3