Basic Math Examples

$9.002$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $3$ numbers to the right of the decimal point, place the decimal number over $10^{3}$ $(1000)$ . Next, add the whole number to the left of the decimal.

$9 \frac{2}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$9 \frac{1}{500}$

Step 3

Convert $9 \frac{1}{500}$ to an improper fraction.

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Step 3.1

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

$9 + \frac{1}{500}$

Step 3.2

Add $9$ and $\frac{1}{500}$ .

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Step 3.2.1

To write $9$ as a fraction with a common denominator, multiply by $\frac{500}{500}$ .

$9 \cdot \frac{500}{500} + \frac{1}{500}$

Step 3.2.2

Combine $9$ and $\frac{500}{500}$ .

$\frac{9 \cdot 500}{500} + \frac{1}{500}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{9 \cdot 500 + 1}{500}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $9$ by $500$ .

$\frac{4500 + 1}{500}$

Step 3.2.4.2

Add $4500$ and $1$ .

$\frac{4501}{500}$