3/5 plus 1/8 as a fraction

The below workout with step by step calculation shows how to find what is 3/5 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 3/5 plus 1/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 1/8

What to be found?
3/5+1/8 = ?
Find what's the sum of 3/5 and 1/8.

step 2 Compare the denominators of fractions 3/5 and 1/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 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 3/5 and 1/8:
The LCM of 5 and 8 is 40.

step 4 Write the fractions 3/5 and 1/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/5+1/8
=(3 x 40)/(5 x 40)+(1 x 40)/(8 x 40)

step 5 Simplify the expression to have common denominator:
=24/40+5/40

step 6 Take the common values out and rewrite the above expression like the below:
=1/40 x (24/1+5/1)
=1/40 x (24 + 5)

step 7Simplify the above expression further:
=1/40 x 29
=29/40
3/5+1/8=29/40

Hence,
3/5 plus 1/8 equals to 29/40 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 1/8

What to be found?
3/5+1/8 = ?
Find what's the sum of 3/5 and 1/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 8), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 8) and rewrite the equation as like the below:
= (3 x 8) + (1 x 5)/(5 x 8)

step 3 Simplify and rewrite the fraction:
= (24 + 5)/40
3/5+1/8 = 29/40
Hence,
3/5 plus 1/8 = 29/40