5/9 plus 1/8 as a fraction

The below workout with step by step calculation shows how to find what is 5/9 plus 1/8 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 5/9 plus 1/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/8

What to be found?
5/9+1/8 = ?
Find what's the sum of 5/9 and 1/8.

step 2 Compare the denominators of fractions 5/9 and 1/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/9 and 1/8 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 5/9 and 1/8:
The LCM of 9 and 8 is 72.

step 4 Write the fractions 5/9 and 1/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/9+1/8
=(5 x 72)/(9 x 72)+(1 x 72)/(8 x 72)

step 5 Simplify the expression to have common denominator:
=40/72+9/72

step 6 Take the common values out and rewrite the above expression like the below:
=1/72 x (40/1+9/1)
=1/72 x (40 + 9)

step 7Simplify the above expression further:
=1/72 x 49
=49/72
5/9+1/8=49/72

Hence,
5/9 plus 1/8 equals to 49/72 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/8

What to be found?
5/9+1/8 = ?
Find what's the sum of 5/9 and 1/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 8), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (5 x 8) + (1 x 9)/(9 x 8)

step 3 Simplify and rewrite the fraction:
= (40 + 9)/72
5/9+1/8 = 49/72
Hence,
5/9 plus 1/8 = 49/72