Sure, here are a few practice problems to help you divide rational numbers:
1) \(\frac{3}{4} \div \frac{5}{6}\)
To divide rational numbers, you must multiply by the reciprocal of the second number. So, \(\frac{3}{4} \div \frac{5}{6}\) becomes \(\frac{3}{4} \times \frac{6}{5}\). Simplifying this expression, we get \(\frac{18}{20}\), which can be further simplified to \(\frac{9}{10}\).
2) \(\frac{2}{5} \div \frac{4}{3}\)
Similarly, \(\frac{2}{5} \div \frac{4}{3}\) can be expressed as \(\frac{2}{5} \times \frac{3}{4}\). Simplifying this expression, we get \(\frac{6}{20}\), which can be further simplified to \(\frac{3}{10}\).
3) \(\frac{7}{8} \div \frac{2}{9}\)
Again, to divide rational numbers, multiply by the reciprocal of the second number. So, \(\frac{7}{8} \div \frac{2}{9}\) becomes \(\frac{7}{8} \times \frac{9}{2}\). Simplifying this expression, we get \(\frac{63}{16}\).
4) \(\frac{11}{3} \div \frac{7}{2}\)
Similar to the previous examples, \(\frac{11}{3} \div \frac{7}{2}\) can be expressed as \(\frac{11}{3} \times \frac{2}{7}\). Simplifying this expression, we get \(\frac{22}{21}\).
Remember to always simplify your fractions if possible.
Divide rational numbers practice
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