Convert to a Simplified Fraction 7.7

$7.7$

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.

$7 \frac{7}{10}$

Step 2

Convert

$7 \frac{7}{10}$ to an improper fraction.

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

$7 + \frac{7}{10}$

Add

$7$ and

$\frac{7}{10}$ .

To write

$7$ as a fraction with a common denominator, multiply by

$\frac{10}{10}$ .

$7 \cdot \frac{10}{10} + \frac{7}{10}$

Combine

$7$ and

$\frac{10}{10}$ .

$\frac{7 \cdot 10}{10} + \frac{7}{10}$

Combine the numerators over the common denominator.

$\frac{7 \cdot 10 + 7}{10}$

Simplify the numerator.

Multiply

$7$ by

$10$ .

$\frac{70 + 7}{10}$

Add

$70$ and

$7$ .

$\frac{77}{10}$