Multiplying fractions involves multiplying the numerators (top numbers) and multiplying the denominators (bottom numbers) separately. This is a simple process compared to adding or subtracting fractions, as you do not need to find a common denominator.

Dividing fractions is a bit trickier. To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.

Examples:

Example 1: Multiplying Fractions
If you have 2/3 × 4/5, multiply the numerators: 2 × 4 = 8, and multiply the denominators: 3 × 5 = 15. So, the answer is 8/15.

Example 2: Dividing Fractions
If you have 3/4 ÷ 2/5, first find the reciprocal of 2/5, which is 5/2. Now multiply: 3/4 × 5/2. Multiply the numerators: 3 × 5 = 15, and multiply the denominators: 4 × 2 = 8. So, the answer is 15/8, which is an improper fraction and can be written as 1 7/8.

Multiplying and dividing fractions are useful for solving real-world problems, such as when you're scaling recipes, working with proportions, or dividing quantities into smaller parts.

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