Evaluate 4/5-2/7

$\frac{4}{5} - \frac{2}{7}$

Step 1

To write $\frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{4}{5} \cdot \frac{7}{7} - \frac{2}{7}$

Step 2

To write $- \frac{2}{7}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{4}{5} \cdot \frac{7}{7} - \frac{2}{7} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of $35$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{4}{5}$ by $\frac{7}{7}$ .

$\frac{4 \cdot 7}{5 \cdot 7} - \frac{2}{7} \cdot \frac{5}{5}$

Multiply $5$ by $7$ .

$\frac{4 \cdot 7}{35} - \frac{2}{7} \cdot \frac{5}{5}$

Multiply $\frac{2}{7}$ by $\frac{5}{5}$ .

$\frac{4 \cdot 7}{35} - \frac{2 \cdot 5}{7 \cdot 5}$

Multiply $7$ by $5$ .

$\frac{4 \cdot 7}{35} - \frac{2 \cdot 5}{35}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \cdot 7 - 2 \cdot 5}{35}$

Step 5

Simplify the numerator.

Multiply $4$ by $7$ .

$\frac{28 - 2 \cdot 5}{35}$

Multiply $- 2$ by $5$ .

$\frac{28 - 10}{35}$

Subtract $10$ from $28$ .

$\frac{18}{35}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{18}{35}$

Decimal Form:

$0.5\overline{142857}$