Multiplying Fractions: 1 1/2 x 2/3
Multiplying fractions can seem intimidating, but it's actually quite straightforward. Let's break down how to multiply 1 1/2 x 2/3 and arrive at the answer as a fraction.
1. Convert Mixed Number to a Fraction
First, we need to convert the mixed number 1 1/2 into an improper fraction. We do this by:
- Multiplying the whole number (1) by the denominator of the fraction (2): 1 * 2 = 2
- Adding the numerator of the fraction (1): 2 + 1 = 3
- Keeping the same denominator (2): 3/2
Now our problem becomes 3/2 x 2/3.
2. Multiply Numerators and Denominators
To multiply fractions, we simply multiply the numerators and the denominators:
- Numerators: 3 x 2 = 6
- Denominators: 2 x 3 = 6
This gives us the fraction 6/6.
3. Simplify
The fraction 6/6 can be simplified. Both the numerator and denominator share a common factor of 6. Dividing both by 6, we get 1/1.
Final Answer
Therefore, 1 1/2 x 2/3 is equal to 1.