Subtract Mixed Numbers
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EXAMPLE 4.90
| \(5 \dfrac{3}{5}-2 \dfrac{4}{5}\) | |
| Rewrite the problem in vertical form. | \( \begin{array}{r} 5 \dfrac{3}{5} \\ -2 \dfrac{4}{5} \\ \hline \end{array} \) |
| Since \(\dfrac{3}{5}\) is less than \(\dfrac{4}{5}\), take \(1\) from the 5 and add it to the \(\dfrac{3}{5}:\left(\dfrac{5}{5}+\dfrac{3}{5}=\dfrac{8}{5}\right)\) | \( \begin{array}{rr} 5 \dfrac{3}{5} & \longrightarrow 4 \dfrac{8}{5} \\ -2 \dfrac{4}{5} & -2 \dfrac{4}{5} \\ \text{____} & \text{____} \end{array} \) |
| Subtract the fractions. | \( \begin{array}{r} 4 \dfrac{8}{5} \\ -2 \dfrac{4}{5} \\ \hline \dfrac{4}{5} \end{array} \) |
| Subtract the whole parts. The result is in simplest form. |
\( \begin{array}{r} 4 \dfrac{8}{5} \\ -2 \dfrac{4}{5} \\ \hline 2 \dfrac{4}{5} \end{array} \) |
Since the problem was given with mixed numbers, we leave the result as mixed numbers.
EXAMPLE 4.91
| \(9 \dfrac{6}{11}-7 \dfrac{10}{11}\) | |
| Rewrite as improper fractions. | \(\dfrac{105}{11}-\dfrac{87}{11}\) |
| Subtract the numerators. | \(\dfrac{18}{11}\) |
| Rewrite as a mixed number. | \(1 \dfrac{7}{11}\) |