Multiplying Fractions: 1 1/2 x 1/2
Multiplying fractions can sometimes seem tricky, but with the right steps, it's easy! Let's explore how to multiply 1 1/2 x 1/2.
Converting Mixed Numbers
First, we need to convert the mixed number 1 1/2 into an improper fraction. To do this, we multiply the whole number (1) by the denominator of the fraction (2), then add the numerator (1). This gives us:
1 x 2 + 1 = 3
We keep the same denominator, so our improper fraction is 3/2.
Multiplying the Fractions
Now, we can multiply our fractions: 3/2 x 1/2.
To multiply fractions, we simply multiply the numerators (top numbers) and the denominators (bottom numbers):
3 x 1 = 3 2 x 2 = 4
This gives us a final answer of 3/4.
Simplifying the Fraction
The fraction 3/4 is already in its simplest form, as the numerator and denominator have no common factors other than 1.
Conclusion
Therefore, 1 1/2 x 1/2 = 3/4.
Remember: To multiply mixed numbers, convert them to improper fractions first. Then, multiply the numerators and denominators to get the product.