To calculate the product of two fractions:
\[ \frac{X}{Y} \times \frac{A}{B} = \frac{X \times A}{Y \times B} \]
After multiplying the numerators and the denominators, divide the result by the Greatest Common Divisor (GCD) to simplify the fraction.
Multiplying fractions involves taking two or more fractions and multiplying their numerators (top numbers) together to get the new numerator, and their denominators (bottom numbers) together to get the new denominator. The resulting fraction is then simplified by dividing both the numerator and the denominator by their Greatest Common Divisor (GCD). This operation helps in solving problems involving proportional relationships and is fundamental in various areas of mathematics.
Let's assume the following fractions:
Step 1: Use the formula:
\[ \frac{2}{5} \times \frac{3}{4} = \frac{2 \times 3}{5 \times 4} = \frac{6}{20} \]
Step 2: Simplify by dividing by GCD of 6 and 20 (which is 2):
\[ \frac{6 \div 2}{20 \div 2} = \frac{3}{10} \]
The product of the fractions is \( \frac{3}{10} \).
Let's assume the following fractions:
Step 1: Use the formula:
\[ \frac{5}{6} \times \frac{7}{8} = \frac{5 \times 7}{6 \times 8} = \frac{35}{48} \]
The product of the fractions is \( \frac{35}{48} \), and it is already in its simplest form.