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Subtract Mixed Numbers

Answers

EXAMPLE 4.90

Solution
  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

Solution
  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}