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Mixed numerals

When multiplying and dividing mixed numerals, convert to improper fractions and then proceed as you have already learned.

Example 1

  1. \(5\dfrac{1}{2}×6\dfrac{1}{4}\)
  2. \(7\dfrac{1}{4}÷1\dfrac{1}{5}\)

Solution

  1. \begin{align}5\dfrac{1}{2}×6\dfrac{1}{4}&=\dfrac{11}{2}×\dfrac{25}{4}\\\\ &=\dfrac{275}{8}\\\\ &=34\dfrac{3}{8}\end{align}
  2. \begin{align}7\dfrac{1}{4}÷1\dfrac{1}{5}&=\dfrac{29}{4}÷\dfrac{6}{5}\\\\ &=\dfrac{29}{4}×\dfrac{5}{6}\\\\ &=\dfrac{145}{24}\\\\ &=6\dfrac{1}{24}\end{align}