Subtracting Fractions: 1 1/2 - 2/3
This article will guide you through the steps of subtracting 2/3 from 1 1/2, resulting in a simplified fraction.
Step 1: Convert Mixed Number to a Fraction
First, convert the mixed number 1 1/2 into an improper fraction.
- Multiply the whole number (1) by the denominator of the fraction (2): 1 * 2 = 2
- Add the numerator (1) to the result: 2 + 1 = 3
- Keep the same denominator: 3/2
Now we have the equivalent fraction for 1 1/2, which is 3/2.
Step 2: Find a Common Denominator
The two fractions we are working with, 3/2 and 2/3, have different denominators. To subtract them, they need a common denominator.
- The least common multiple of 2 and 3 is 6.
- To get a denominator of 6 for 3/2, multiply both numerator and denominator by 3: (3 * 3) / (2 * 3) = 9/6
- To get a denominator of 6 for 2/3, multiply both numerator and denominator by 2: (2 * 2) / (3 * 2) = 4/6
Step 3: Subtract the Fractions
Now that both fractions have the same denominator, we can subtract:
9/6 - 4/6 = 5/6
Conclusion
Therefore, 1 1/2 - 2/3 is equal to 5/6.