Basic Math Examples

394.008

$394.008$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

3

$3$ numbers to the right of the decimal point, place the decimal number over

10^{3}

$10^{3}$

(1000)

$(1000)$ . Next, add the whole number to the left of the decimal.

394 \frac{8}{1000}

$394 \frac{8}{1000}$

Step 2

Reduce the fractional part of the mixed number.

394 \frac{1}{125}

$394 \frac{1}{125}$

Step 3

Convert

394 \frac{1}{125}

$394 \frac{1}{125}$ to an improper fraction.

Tap for more steps...

Step 3.1

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

394 + \frac{1}{125}

$394 + \frac{1}{125}$

Step 3.2

Add

394

$394$ and

\frac{1}{125}

$\frac{1}{125}$ .

Tap for more steps...

Step 3.2.1

To write

394

$394$ as a fraction with a common denominator, multiply by

\frac{125}{125}

$\frac{125}{125}$ .

394 \cdot \frac{125}{125} + \frac{1}{125}

$394 \cdot \frac{125}{125} + \frac{1}{125}$

Step 3.2.2

Combine

394

$394$ and

\frac{125}{125}

$\frac{125}{125}$ .

\frac{394 \cdot 125}{125} + \frac{1}{125}

$\frac{394 \cdot 125}{125} + \frac{1}{125}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{394 \cdot 125 + 1}{125}

$\frac{394 \cdot 125 + 1}{125}$

Step 3.2.4

Simplify the numerator.

Tap for more steps...

Step 3.2.4.1

Multiply

394

$394$ by

125

$125$ .

\frac{49250 + 1}{125}

$\frac{49250 + 1}{125}$

Step 3.2.4.2

Add

49250

$49250$ and

1

$1$ .

\frac{49251}{125}

$\frac{49251}{125}$

\frac{49251}{125}

$\frac{49251}{125}$

\frac{49251}{125}

$\frac{49251}{125}$

\frac{49251}{125}

$\frac{49251}{125}$