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The method to divide fractions is to keep the first fraction the same, turn the divide sign into a multiply and turn the second fraction upside down. This is known as multiplying by the reciprocal.

\(\frac{{{a^2}b}}{{a{b^2}}} = \frac{{a \times a \times b}}{{a \times b \times b}}\) Since a and b are both factors, cancel this fraction by dividing by both a and b ...