What is 3/4 x 1/2?
Understand the Problem
The question is asking us to multiply the fractions 3/4 and 1/2 together, which involves finding the product of the numerators and the product of the denominators.
Answer
The product of the fractions is $ \frac{3}{8} $.
Answer for screen readers
The product of the fractions $ \frac{3}{4} $ and $ \frac{1}{2} $ is $ \frac{3}{8} $.
Steps to Solve
- Multiply the Numerators
We will start by multiplying the numerators of the fractions together. The numerators are 3 and 1.
$$ 3 \times 1 = 3 $$
- Multiply the Denominators
Next, we will multiply the denominators of the fractions together. The denominators are 4 and 2.
$$ 4 \times 2 = 8 $$
- Form the Product Fraction
Now that we have the products of the numerators and denominators, we can form the product fraction:
$$ \frac{3}{8} $$
- Simplify the Fraction (if necessary)
Since $\frac{3}{8}$ is already in its simplest form, we do not need to simplify further.
The product of the fractions $ \frac{3}{4} $ and $ \frac{1}{2} $ is $ \frac{3}{8} $.
More Information
When multiplying fractions, the process is straightforward: just multiply the numerators and multiply the denominators. The result is another fraction that can often be simplified, but in this case, $ \frac{3}{8} $ is already simplified.
Tips
- Forgetting to multiply both numerators and denominators: Make sure to always multiply the top numbers and the bottom numbers separately.
- Not simplifying the fraction: Always check if the resulting fraction can be simplified, even if it's not necessary in this case.
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