Adding Fractions: 1 1/2 + 2/3
Adding fractions requires that they have a common denominator. Here's how to solve the problem:
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 (2) and add the numerator (1): 1 * 2 + 1 = 3
- Keep the same denominator: 3/2
Step 2: Find a Common Denominator
- The smallest common denominator for 2 and 3 is 6.
- Convert both fractions to have a denominator of 6:
- 3/2 * (3/3) = 9/6
- 2/3 * (2/2) = 4/6
Step 3: Add the Fractions
- Now that the fractions have the same denominator, add the numerators:
- 9/6 + 4/6 = 13/6
Step 4: Simplify the Answer (Optional)
- The fraction 13/6 is an improper fraction. You can convert it back to a mixed number:
- 13/6 = 2 1/6
Answer:
Therefore, 1 1/2 + 2/3 = 13/6 or 2 1/6.