Convert to a Simplified Fraction 0.2826

$0.2826$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $4$ numbers to the right of the decimal point, place the decimal number over $10^{4}$ $(10000)$ . Next, add the whole number to the left of the decimal.

$0 \frac{2826}{10000}$

Step 2

Reduce the fraction.

Convert $0 \frac{2826}{10000}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$0 + \frac{2826}{10000}$

Add $0$ and $\frac{2826}{10000}$ .

$\frac{2826}{10000}$

Cancel the common factor of $2826$ and $10000$ .

Factor $2$ out of $2826$ .

$\frac{2 (1413)}{10000}$

Cancel the common factors.

Factor $2$ out of $10000$ .

$\frac{2 \cdot 1413}{2 \cdot 5000}$

Cancel the common factor.

$\frac{2 \cdot 1413}{2 \cdot 5000}$

Rewrite the expression.

$\frac{1413}{5000}$

Convert to a Simplified Fraction 0.2826

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