Basic Math Examples

- 0.312

$- 0.312$

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.

- 0 \frac{312}{1000}

$- 0 \frac{312}{1000}$

Step 2

Reduce the fraction.

Tap for more steps...

Step 2.1

Convert

0 \frac{312}{1000}

$0 \frac{312}{1000}$ 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{312}{1000})

$- (0 + \frac{312}{1000})$

Step 2.1.2

Add

0

$0$ and

\frac{312}{1000}

$\frac{312}{1000}$ .

- \frac{312}{1000}

$- \frac{312}{1000}$

- \frac{312}{1000}

$- \frac{312}{1000}$

Step 2.2

Cancel the common factor of

312

$312$ and

1000

$1000$ .

Tap for more steps...

Step 2.2.1

Factor

8

$8$ out of

312

$312$ .

- \frac{8 (39)}{1000}

$- \frac{8 (39)}{1000}$

Step 2.2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.2.1

Factor

8

$8$ out of

1000

$1000$ .

- \frac{8 \cdot 39}{8 \cdot 125}

$- \frac{8 \cdot 39}{8 \cdot 125}$

Step 2.2.2.2

Cancel the common factor.

$- \frac{8 \cdot 39}{8 \cdot 125}$

Step 2.2.2.3

Rewrite the expression.

$- \frac{39}{125}$