Evaluate 5/6-7/9

$\frac{5}{6} - \frac{7}{9}$

Step 1

To write $\frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{6} \cdot \frac{3}{3} - \frac{7}{9}$

Step 2

To write $- \frac{7}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5}{6} \cdot \frac{3}{3} - \frac{7}{9} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{6}$ by $\frac{3}{3}$ .

$\frac{5 \cdot 3}{6 \cdot 3} - \frac{7}{9} \cdot \frac{2}{2}$

Multiply $6$ by $3$ .

$\frac{5 \cdot 3}{18} - \frac{7}{9} \cdot \frac{2}{2}$

Multiply $\frac{7}{9}$ by $\frac{2}{2}$ .

$\frac{5 \cdot 3}{18} - \frac{7 \cdot 2}{9 \cdot 2}$

Multiply $9$ by $2$ .

$\frac{5 \cdot 3}{18} - \frac{7 \cdot 2}{18}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 3 - 7 \cdot 2}{18}$

Step 5

Simplify the numerator.

Multiply $5$ by $3$ .

$\frac{15 - 7 \cdot 2}{18}$

Multiply $- 7$ by $2$ .

$\frac{15 - 14}{18}$

Subtract $14$ from $15$ .

$\frac{1}{18}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{18}$

Decimal Form:

$0.0\overline{5}$