What is 5/6 + 11 in fraction?
5/6 + 11 equals to 71/6 in fraction form.
Learn how to find what is 5/6 plus 11 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 + 11 as a fraction and decimal.
Summary: 5/6 plus 11 = 71/6
Since both fractions have unequal denominators, 5/6 plus 11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 11 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) + (11 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 11 is 66/6. By simplifying this fraction addition 5/6 + 66/6, it becomes 71/6.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 11 by adding fraction to a whole number . The sum in fraction form for 5/6 plus 11/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(5/6) + (11) using LCM Method:
What is 5/6 plus 11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 11/1
What to be found?
(5/6) + (11) = ?
Find what's the sum of 5/6 and 11.
step 2 Compare the denominators of fractions 5/6 and 11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 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 11:
The LCM of 6 and 1 is 6.
step 4 Write the fractions 5/6 and 11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 + 11
= [(5 x 6)/(6 x 6)] + [(11 x 6)/(1 x 6)]
step 5 Simplify the expression to have common denominator:
= 5/6 + 66/6
step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (5/1 + 66/1)
= 1/6 x (5 + 66)
step 7Simplify the above expression further:
= 1/6 x 71
= 71/6
5/6 + 11 = 71/6
Hence,
5/6 plus 11 as a fraction is 71/6.
5/6 + 11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 11/1
What to be found?
(5/6)+(11) = ?
Find what's the sum of 5/6 and 11.
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 (11 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) + (11 x 6)/(6 x 1)
step 3 Simplify and rewrite the fraction:
= (5 + 66)/6
5/6 + 11 = 71/6
Hence,
5/6 plus 11 in fraction is 71/6