Understanding Fraction Multiplication
Multiplying fractions is a straightforward process that involves a few simple steps. Here’s how to do it:
Step 1: Multiply the Numerators
- The numerator is the top part of a fraction.
- To begin, multiply the numerators of the two fractions together.
Step 2: Multiply the Denominators
- The denominator is the bottom part of a fraction.
- Next, multiply the denominators of the two fractions together.
Step 3: Form the New Fraction
- After multiplying the numerators and denominators, place the result of the numerators over the result of the denominators.
- This gives you a new fraction.
Step 4: Simplify the Fraction
- If possible, simplify the resulting fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.
- Divide both the numerator and the denominator by their GCD to get the simplest form.
Example
- Consider multiplying \(\frac{2}{3}\) and \(\frac{4}{5}\):
- Step 1: \(2 \times 4 = 8\) (Numerators)
- Step 2: \(3 \times 5 = 15\) (Denominators)
- Resulting fraction: \(\frac{8}{15}\)
- Since 8 and 15 have no common factors, \(\frac{8}{15}\) is already in simplest form.
By following these steps, you can easily multiply any fractions. Happy learning!