Basic Math Examples

$6.393$

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.

$6 \frac{393}{1000}$

Step 2

Convert $6 \frac{393}{1000}$ to an improper fraction.

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Step 2.1

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

$6 + \frac{393}{1000}$

Step 2.2

Add $6$ and $\frac{393}{1000}$ .

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Step 2.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{1000}{1000}$ .

$6 \cdot \frac{1000}{1000} + \frac{393}{1000}$

Step 2.2.2

Combine $6$ and $\frac{1000}{1000}$ .

$\frac{6 \cdot 1000}{1000} + \frac{393}{1000}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{6 \cdot 1000 + 393}{1000}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $6$ by $1000$ .

$\frac{6000 + 393}{1000}$

Step 2.2.4.2

Add $6000$ and $393$ .

$\frac{6393}{1000}$