The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 1/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/6 plus 1/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/6+1/12 using LCM Method:
What is 5/6 plus 1/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 1/12
What to be found?
5/6+1/12 = ?
Find what's the sum of 5/6 and 1/12.
step 2 Compare the denominators of fractions 5/6 and 1/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 1/12 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 1/12:
The LCM of 6 and 12 is 12.
step 4 Write the fractions 5/6 and 1/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/6+1/12
=(5 x 12)/(6 x 12)+(1 x 12)/(12 x 12)
step 5 Simplify the expression to have common denominator:
=10/12+1/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (10/1+1/1)
=1/12 x (10 + 1)
step 7Simplify the above expression further:
=1/12 x 11
=11/12
5/6+1/12=11/12
Hence,
5/6 plus 1/12 equals to 11/12 in fraction.
5/6+1/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 1/12
What to be found?
5/6+1/12 = ?
Find what's the sum of 5/6 and 1/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 12), find the product of numerator of Fraction B and denominator of Fraction A (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 12) and rewrite the equation as like the below:
= (5 x 12) + (1 x 6)/(6 x 12)
step 3 Simplify and rewrite the fraction:
= (60 + 6)/72
= 66/72
= 11/12
5/6+1/12 = 11/12
Hence,
5/6 plus 1/12 = 11/12