Evaluate (22/7-2/3)

$(\frac{22}{7} - \frac{2}{3})$

Step 1

To write $\frac{22}{7}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{22}{7} \cdot \frac{3}{3} - \frac{2}{3}$

Step 2

To write $- \frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{22}{7} \cdot \frac{3}{3} - \frac{2}{3} \cdot \frac{7}{7}$

Step 3

Write each expression with a common denominator of $21$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{22}{7}$ by $\frac{3}{3}$ .

$\frac{22 \cdot 3}{7 \cdot 3} - \frac{2}{3} \cdot \frac{7}{7}$

Multiply $7$ by $3$ .

$\frac{22 \cdot 3}{21} - \frac{2}{3} \cdot \frac{7}{7}$

Multiply $\frac{2}{3}$ by $\frac{7}{7}$ .

$\frac{22 \cdot 3}{21} - \frac{2 \cdot 7}{3 \cdot 7}$

Multiply $3$ by $7$ .

$\frac{22 \cdot 3}{21} - \frac{2 \cdot 7}{21}$

Step 4

Combine the numerators over the common denominator.

$\frac{22 \cdot 3 - 2 \cdot 7}{21}$

Step 5

Simplify the numerator.

Multiply $22$ by $3$ .

$\frac{66 - 2 \cdot 7}{21}$

Multiply $- 2$ by $7$ .

$\frac{66 - 14}{21}$

Subtract $14$ from $66$ .

$\frac{52}{21}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{52}{21}$

Decimal Form:

$2.\overline{476190}$

Mixed Number Form:

$2 \frac{10}{21}$