3/2 plus 2/3 as a fraction

The below workout with step by step calculation shows how to find what is 3/2 plus 2/3 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 3/2 plus 2/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 2/3

What to be found?
3/2+2/3 = ?
Find what's the sum of 3/2 and 2/3.

step 2 Compare the denominators of fractions 3/2 and 2/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 2/3 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 3/2 and 2/3:
The LCM of 2 and 3 is 6.

step 4 Write the fractions 3/2 and 2/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/2+2/3
=(3 x 6)/(2 x 6)+(2 x 6)/(3 x 6)

step 5 Simplify the expression to have common denominator:
=9/6+4/6

step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (9/1+4/1)
=1/6 x (9 + 4)

step 7Simplify the above expression further:
=1/6 x 13
=13/6
3/2+2/3=13/6

Hence,
3/2 plus 2/3 equals to 13/6 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 2/3

What to be found?
3/2+2/3 = ?
Find what's the sum of 3/2 and 2/3.

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

step 3 Simplify and rewrite the fraction:
= (9 + 4)/6
3/2+2/3 = 13/6
Hence,
3/2 plus 2/3 = 13/6