Evaluate 5/6-4/5

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

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

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

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

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

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

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

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

Multiply $6$ by $5$ .

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

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

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

Multiply $5$ by $6$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $5$ by $5$ .

$\frac{25 - 4 \cdot 6}{30}$

Multiply $- 4$ by $6$ .

$\frac{25 - 24}{30}$

Subtract $24$ from $25$ .

$\frac{1}{30}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{30}$

Decimal Form:

$0.0\overline{3}$