What is 1/2 x 3/4?
Understand the Problem
The question is asking for the product of two fractions, 1/2 and 3/4. To solve this, we will multiply the numerators and the denominators.
Answer
The product of the fractions is $\frac{3}{8}$.
Answer for screen readers
The product of the fractions $\frac{1}{2}$ and $\frac{3}{4}$ is $\frac{3}{8}$.
Steps to Solve
- Identify the Numerators and Denominators
We start by identifying the numerators and denominators of the fractions.
For the fraction $\frac{1}{2}$, the numerator is $1$ and the denominator is $2$.
For the fraction $\frac{3}{4}$, the numerator is $3$ and the denominator is $4$.
- Multiply the Numerators
Next, we multiply the numerators of the two fractions:
$$ 1 \times 3 = 3 $$
- Multiply the Denominators
Now we multiply the denominators of the two fractions:
$$ 2 \times 4 = 8 $$
- Form the New Fraction
We now combine the results from the multiplications of the numerators and denominators to form a new fraction:
$$ \frac{3}{8} $$
The product of the fractions $\frac{1}{2}$ and $\frac{3}{4}$ is $\frac{3}{8}$.
More Information
When multiplying fractions, the process involves simply multiplying across the numerators and denominators. This method can be applied to any number of fractions in a similar way, making multiplication of fractions straightforward.
Tips
- Not Simplifying: After multiplying fractions, some people forget to simplify their answer. However, in this case, $\frac{3}{8}$ is already in its simplest form.
- Adding Instead of Multiplying: Sometimes, students may mistakenly add fractions instead of multiplying them. Remember, the problem specifically asks for a product.
