Convert to a Simplified Fraction -2.9

$- 2.9$

Step 1

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

$1$ number to the right of the decimal point, place the decimal number over

$10^{1}$

$(10)$ . Next, add the whole number to the left of the decimal.

$- 2 \frac{9}{10}$

Step 2

Convert

$2 \frac{9}{10}$ to an improper fraction.

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

$- (2 + \frac{9}{10})$

Add

$2$ and

$\frac{9}{10}$ .

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{10}{10}$ .

$- (2 \cdot \frac{10}{10} + \frac{9}{10})$

Combine

$2$ and

$\frac{10}{10}$ .

$- (\frac{2 \cdot 10}{10} + \frac{9}{10})$

Combine the numerators over the common denominator.

$- \frac{2 \cdot 10 + 9}{10}$

Simplify the numerator.

Multiply

$2$ by

$10$ .

$- \frac{20 + 9}{10}$

Add

$20$ and

$9$ .

$- \frac{29}{10}$