Convert to an Improper Fraction 6 6/7

$6 \frac{6}{7}$

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

$6 + \frac{6}{7}$

Add $6$ and $\frac{6}{7}$ .

To write $6$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$6 \cdot \frac{7}{7} + \frac{6}{7}$

Combine $6$ and $\frac{7}{7}$ .

$\frac{6 \cdot 7}{7} + \frac{6}{7}$

Combine the numerators over the common denominator.

$\frac{6 \cdot 7 + 6}{7}$

Simplify the numerator.

Multiply $6$ by $7$ .

$\frac{42 + 6}{7}$

Add $42$ and $6$ .

$\frac{48}{7}$