What is 8/9 plus 6/8 in fraction?
8/9 plus 6/8 equals to 59/36 in fraction form.
Learn how to find what is 8/9 plus 6/8 in fraction form just in a few minutes. We have covered the easiest method to write 8/9 + 6/8 as a fraction and decimal.
Summary: 8/9 plus 6/8
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 8/9 and 6/8 having identical denominators before starting adding the fractions. Find the LCM of denominators, 72 is the LCM of 9 and 8. Multiply the LCM 72 with all the numerators and denominators of both fractions (8/9 x 72/72) + (6/8 x 72/72) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 118/72.
The below workout with step by step calculation shows how to find the equivalent fraction between 8/9 and 6/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/9 plus 6/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
8/9+6/8 using LCM Method:
What is 8/9 plus 6/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 6/8
What to be found?
8/9+6/8 = ?
Find what's the sum of 8/9 and 6/8.
step 2 Compare the denominators of fractions 8/9 and 6/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/9 and 6/8 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 8/9 and 6/8:
The LCM of 9 and 8 is 72.
step 4 Write the fractions 8/9 and 6/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=8/9+6/8
=(8 x 72)/(9 x 72)+(6 x 72)/(8 x 72)
step 5 Simplify the expression to have common denominator:
=64/72+54/72
step 6 Take the common values out and rewrite the above expression like the below:
=1/72 x (64/1+54/1)
=1/72 x (64 + 54)
step 7Simplify the above expression further:
=1/72 x 118
= 118/72
=59/36
8/9+6/8=59/36
Hence,
8/9 plus 6/8 equals to 59/36 in fraction.
8/9+6/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 6/8
What to be found?
8/9+6/8 = ?
Find what's the sum of 8/9 and 6/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 8), find the product of numerator of Fraction B and denominator of Fraction A (6 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 8) and rewrite the equation as like the below:
= (8 x 8) + (6 x 9)/(9 x 8)
step 3 Simplify and rewrite the fraction:
= (64 + 54)/72
= 118/72
= 59/36
8/9+6/8 = 59/36
Hence,
8/9 plus 6/8 = 59/36