What is 5/6 + 2/11 in fraction?
5/6 + 2/11 equals to 67/66 in fraction form.
Learn how to find what is 5/6 plus 2/11 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 + 2/11 as a fraction and decimal.
Summary: 5/6 plus 2/11 = 67/66
Since both fractions have unequal denominators, 5/6 plus 2/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 2/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 11. 66 is the LCM of 6 and 11. Multiplying the LCM 66 with the numerators and denominators of both fractions (5/6 x 66/66) + (2/11 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 55/66 and for 2/11 is 12/66. By simplifying this fraction addition 55/66 + 12/66, it becomes 67/66.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 2/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/6 plus 2/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(5/6) + (2/11) using LCM Method:
What is 5/6 plus 2/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 2/11
What to be found?
(5/6) + (2/11) = ?
Find what's the sum of 5/6 and 2/11.
step 2 Compare the denominators of fractions 5/6 and 2/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 2/11 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 2/11:
The LCM of 6 and 11 is 66.
step 4 Write the fractions 5/6 and 2/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 + 2/11
= [(5 x 66)/(6 x 66)] + [(2 x 66)/(11 x 66)]
step 5 Simplify the expression to have common denominator:
= 55/66 + 12/66
step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (55/1 + 12/1)
= 1/66 x (55 + 12)
step 7Simplify the above expression further:
= 1/66 x 67
= 67/66
5/6 + 2/11 = 67/66
Hence,
5/6 plus 2/11 as a fraction is 67/66.
5/6 + 2/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 2/11
What to be found?
(5/6)+(2/11) = ?
Find what's the sum of 5/6 and 2/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 11), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 11) and rewrite the equation as like the below:
= (5 x 11) + (2 x 6)/(6 x 11)
step 3 Simplify and rewrite the fraction:
= (55 + 12)/66
5/6 + 2/11 = 67/66
Hence,
5/6 plus 2/11 in fraction is 67/66