To multiply rational expressions, you simply multiply the numerators together and then multiply the denominators together. For example, to multiply (3x/4) * (2x/5), you would multiply the numerators (3x * 2x = 6x^2) and multiply the denominators (4 * 5 = 20) to get the final result of 6x^2/20, which simplifies to 3x^2/10.
To divide rational expressions, you multiply by the reciprocal of the second fraction. For example, to divide (3x/4) by (2x/5), you would rewrite the division as multiplication and multiply by the reciprocal of the second fraction. This would result in (3x/4) * (5/2x). You then simplify the expression by multiplying the numerators (3x * 5 = 15x) and the denominators (4 * 2x = 8x) to get the final result of 15x/8x, which simplifies to 15/8.
Multiplying and dividing rational expressions
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