Multiplying and dividing algebraic fractions

To multiply fractions, multiply numerators together and denominators together: (a/b) · (c/d) = ac/(bd). To divide, multiply the dividend by the reciprocal of the divisor: (a/b) : (c/d) = (a/b) · (d/c) = ad/(bc), where c ≠ 0. When a fraction is raised to the n-th power, both numerator and denominator are raised to it: (a/b)ⁿ = aⁿ/bⁿ. Factoring numerators and denominators first and cancelling across makes the work easier. At the end check whether the result can be reduced further.