2 1/4 as a decimal number
You asked:
Convert $2\frac{1}{4}$ to decimal notation.
MathBot Answer:
$2\frac{1}{4}$ is exactly $2.25$.
Long Division
\[\begin{align*} & \phantom) 2.25 \\ 4 \; & \overline{\smash)9.\phantom{00}} \\ & \phantom) \mathllap{-} \underline{ 8}\textcolor{#008364}{\mathrlap{\downarrow}} \\ & \phantom) 1\textcolor{#008364}{0} \\ & \phantom) \mathllap{-} \underline{\phantom{0} 8}\textcolor{#008364}{\mathrlap{\downarrow}} \\ & \phantom) \phantom{0} 2\textcolor{#008364}{0} \\ & \phantom) \phantom{0} \mathllap{-} \underline{ 20} \\ & \phantom) \phantom{00} 0 \end{align*}\]Steps
Start by converting $2\frac{1}{4}$ to an improper fraction $\frac{9}{4}$.
4 fits into 9 $2$ times, producing 8. Subtract from 9 to get remainder 1. Carry a zero to produce 10.
4 fits into 10 $2$ times, producing 8. Subtract from 10 to get remainder 2. Carry a zero to produce 20.
4 fits into 20 $5$ times, producing 20. Subtract from 20 to get remainder 0.
The remainder is 0, so the final answer is an exact decimal number.