### Mixed numerals

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

#### Example 1

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

#### Solution

- \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}
- \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}