Convert to an Improper Fraction 4 6/7

$4 \frac{6}{7}$

Step 1

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

$4 + \frac{6}{7}$

Step 2

Add $4$ and $\frac{6}{7}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$4 \cdot \frac{7}{7} + \frac{6}{7}$

Combine $4$ and $\frac{7}{7}$ .

$\frac{4 \cdot 7}{7} + \frac{6}{7}$

Combine the numerators over the common denominator.

$\frac{4 \cdot 7 + 6}{7}$

Simplify the numerator.

Multiply $4$ by $7$ .

$\frac{28 + 6}{7}$

Add $28$ and $6$ .

$\frac{34}{7}$