Basic Math Examples

$- 6.45$

Step 1

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

$2$ numbers to the right of the decimal point, place the decimal number over

$10^{2}$

$(100)$ . Next, add the whole number to the left of the decimal.

$- 6 \frac{45}{100}$

Step 2

Reduce the fractional part of the mixed number.

$- 6 \frac{9}{20}$

Step 3

Convert

$6 \frac{9}{20}$ to an improper fraction.

Tap for more steps...

Step 3.1

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

$- (6 + \frac{9}{20})$

Step 3.2

Add

$6$ and

$\frac{9}{20}$ .

Tap for more steps...

Step 3.2.1

To write

$6$ as a fraction with a common denominator, multiply by

$\frac{20}{20}$ .

$- (6 \cdot \frac{20}{20} + \frac{9}{20})$

Step 3.2.2

Combine

$6$ and

$\frac{20}{20}$ .

$- (\frac{6 \cdot 20}{20} + \frac{9}{20})$

Step 3.2.3

Combine the numerators over the common denominator.

$- \frac{6 \cdot 20 + 9}{20}$

Step 3.2.4

Simplify the numerator.

Tap for more steps...

Step 3.2.4.1

Multiply

$6$ by

$20$ .

$- \frac{120 + 9}{20}$

Step 3.2.4.2

Add

$120$ and

$9$ .

$- \frac{129}{20}$