Simplifying 3/8 - 1/3
In this article, we will simplify the expression 3/8 - 1/3.
Step 1: Find the Least Common Multiple (LCM)
To subtract two fractions, we need to find the least common multiple (LCM) of the denominators, which are 8 and 3. The LCM of 8 and 3 is 24.
Step 2: Convert the Fractions
Now, we need to convert both fractions to have a denominator of 24.
- 3/8 = 9/24 (multiply numerator and denominator by 3)
- 1/3 = 8/24 (multiply numerator and denominator by 8)
Step 3: Subtract the Fractions
Now that both fractions have the same denominator, we can subtract them.
9/24 - 8/24 = 1/24
Therefore, the simplified expression is 1/24.
Conclusion
The simplified expression of 3/8 - 1/3 is 1/24.