Basic Math Examples

0.826

$0.826$

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.

$0 \frac{826}{1000}$

Step 2

Reduce the fraction.

Tap for more steps...

Step 2.1

Convert

$0 \frac{826}{1000}$ to an improper fraction.

Tap for more steps...

Step 2.1.1

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

$0 + \frac{826}{1000}$

Step 2.1.2

Add

$0$ and

$\frac{826}{1000}$ .

$\frac{826}{1000}$

Step 2.2

Cancel the common factor of

$826$ and

$1000$ .

Tap for more steps...

Step 2.2.1

Factor

$2$ out of

$826$ .

$\frac{2 (413)}{1000}$

Step 2.2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.2.1

Factor

$2$ out of

$1000$ .

$\frac{2 \cdot 413}{2 \cdot 500}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 \cdot 413}{2 \cdot 500}$

Step 2.2.2.3

Rewrite the expression.

$\frac{413}{500}$