9/8 minus 2/3 as a fraction

The below workout with step by step calculation shows how to find what is 9/8 minus 2/3 in simplest form by using the following methods:
1. LCM method,
2. Cross multiplication method.

Problem and Workout - LCM Method:
What is 9/8 minus 2/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 2/3

What to be found?
9/8-2/3 = ?
Find what's the difference between 9/8 and 2/3.

step 2 Compare the denominators of fractions 9/8 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/8 and 2/3 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 9/8 and 2/3:
The LCM of 8 and 3 is 24.

step 4 Write the fractions 9/8 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/8-2/3
=(9 x 24)/(8 x 24)-(2 x 24)/(3 x 24)

step 5 Simplify the expression to have common denominator:
=27/24-16/24

step 6 Take the common values out and rewrite the above expression like the below:
=1/24 x (27/1-16/1)
=1/24 x (27 - 16)

step 7Simplify the above expression further:
=1/24 x 11
=11/24
9/8-2/3=11/24

Hence,
9/8 minus 2/3 equals to 11/24 in fraction.

Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 2/3

What to be found?
9/8-2/3 = ?
Find what's the difference between 9/8 and 2/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 3) and rewrite the equation as like the below:
= (9 x 3) - (2 x 8)/(8 x 3)

step 3 Simplify and rewrite the fraction:
= (27 - 16)/24
9/8-2/3 = 11/24
Hence,
9/8 minus 2/3 = 11/24