Evaluate 4/5-1/6

$\frac{4}{5} - \frac{1}{6}$

Step 1

To write $\frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{4}{5} \cdot \frac{6}{6} - \frac{1}{6}$

Step 2

To write $- \frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{4}{5} \cdot \frac{6}{6} - \frac{1}{6} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of $30$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{4}{5}$ by $\frac{6}{6}$ .

$\frac{4 \cdot 6}{5 \cdot 6} - \frac{1}{6} \cdot \frac{5}{5}$

Multiply $5$ by $6$ .

$\frac{4 \cdot 6}{30} - \frac{1}{6} \cdot \frac{5}{5}$

Multiply $\frac{1}{6}$ by $\frac{5}{5}$ .

$\frac{4 \cdot 6}{30} - \frac{5}{6 \cdot 5}$

Multiply $6$ by $5$ .

$\frac{4 \cdot 6}{30} - \frac{5}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \cdot 6 - 5}{30}$

Step 5

Simplify the numerator.

Multiply $4$ by $6$ .

$\frac{24 - 5}{30}$

Subtract $5$ from $24$ .

$\frac{19}{30}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{30}$

Decimal Form:

$0.6\overline{3}$