What is 8/6 plus 5/4 in fraction?
8/6 plus 5/4 equals to 31/12 in fraction form.
Learn how to find what is 8/6 plus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 8/6 + 5/4 as a fraction and decimal.
Summary: 8/6 plus 5/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 8/6 and 5/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 12 is the LCM of 6 and 4. Multiply the LCM 12 with all the numerators and denominators of both fractions (8/6 x 12/12) + (5/4 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 31/12.
The below workout with step by step calculation shows how to find the equivalent fraction between 8/6 and 5/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/6 plus 5/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
8/6+5/4 using LCM Method:
What is 8/6 plus 5/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/6
Fraction B: 5/4
What to be found?
8/6+5/4 = ?
Find what's the sum of 8/6 and 5/4.
step 2 Compare the denominators of fractions 8/6 and 5/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/6 and 5/4 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 8/6 and 5/4:
The LCM of 6 and 4 is 12.
step 4 Write the fractions 8/6 and 5/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=8/6+5/4
=(8 x 12)/(6 x 12)+(5 x 12)/(4 x 12)
step 5 Simplify the expression to have common denominator:
=16/12+15/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (16/1+15/1)
=1/12 x (16 + 15)
step 7Simplify the above expression further:
=1/12 x 31
=31/12
8/6+5/4=31/12
Hence,
8/6 plus 5/4 equals to 31/12 in fraction.
8/6+5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/6
Fraction B: 5/4
What to be found?
8/6+5/4 = ?
Find what's the sum of 8/6 and 5/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 4) and rewrite the equation as like the below:
= (8 x 4) + (5 x 6)/(6 x 4)
step 3 Simplify and rewrite the fraction:
= (32 + 30)/24
= 62/24
= 31/12
8/6+5/4 = 31/12
Hence,
8/6 plus 5/4 = 31/12