Convert to a Simplified Fraction 9.4

$9.4$

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.

$9 \frac{4}{10}$

Step 2

Reduce the fractional part of the mixed number.

$9 \frac{2}{5}$

Step 3

Convert

$9 \frac{2}{5}$ to an improper fraction.

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

$9 + \frac{2}{5}$

Add

$9$ and

$\frac{2}{5}$ .

To write

$9$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$9 \cdot \frac{5}{5} + \frac{2}{5}$

Combine

$9$ and

$\frac{5}{5}$ .

$\frac{9 \cdot 5}{5} + \frac{2}{5}$

Combine the numerators over the common denominator.

$\frac{9 \cdot 5 + 2}{5}$

Simplify the numerator.

Multiply

$9$ by

$5$ .

$\frac{45 + 2}{5}$

Add

$45$ and

$2$ .

$\frac{47}{5}$