Subtract Mixed Numbers: Answers | Saylor Academy | Saylor Academy

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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.	$1 \dfrac{7}{11}$