Multiplying Fractions: 1 3/4 x 1/2
Let's explore how to multiply the mixed number 1 3/4 by the fraction 1/2.
Converting the Mixed Number
First, we need to convert the mixed number, 1 3/4, into an improper fraction.
- Multiply the whole number (1) by the denominator (4): 1 * 4 = 4
- Add the numerator (3): 4 + 3 = 7
- Keep the same denominator (4): 7/4
Now we have the problem: 7/4 x 1/2
Multiplying Fractions
To multiply fractions, we simply multiply the numerators and the denominators.
- Numerators: 7 x 1 = 7
- Denominators: 4 x 2 = 8
This gives us the answer: 7/8