2 1/4 as a decimal number

asked by guest
on Jul 26, 2024 at 11:05 pm



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 $\frac{9}{4}$.

  1. 4 fits into 9 $2$ times, producing 8. Subtract from 9 to get remainder 1. Carry a zero to produce 10.

  2. 4 fits into 10 $2$ times, producing 8. Subtract from 10 to get remainder 2. Carry a zero to produce 20.

  3. 4 fits into 20 $5$ times, producing 20. Subtract from 20 to get remainder 0.


    4. The remainder is 0, so the final answer is an exact decimal number.

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