How do you multiply fractions?

To multiply fractions, the correct method is to multiply the numerators together and the denominators together, yielding a new fraction. For instance, if you have two fractions ( \frac{a}{b} ) and ( \frac{c}{d} ), the product is calculated as ( \frac{a \cdot c}{b \cdot d} ). This approach is straightforward and does not require finding a common denominator or converting fractions into different forms before performing the multiplication.

This method works effectively because the multiplication of fractions is based on the principle that the operation does not require factors to be in a common form; you can directly work with the numerators and denominators as they are. This is why multiplying denominators and numerators separately is essential for obtaining the correct product.