Evaluate 3/5-4/7

$\frac{3}{5} - \frac{4}{7}$

Step 1

To write $\frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{3}{5} \cdot \frac{7}{7} - \frac{4}{7}$

Step 2

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

$\frac{3}{5} \cdot \frac{7}{7} - \frac{4}{7} \cdot \frac{5}{5}$

Step 3

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

Multiply $\frac{3}{5}$ by $\frac{7}{7}$ .

$\frac{3 \cdot 7}{5 \cdot 7} - \frac{4}{7} \cdot \frac{5}{5}$

Multiply $5$ by $7$ .

$\frac{3 \cdot 7}{35} - \frac{4}{7} \cdot \frac{5}{5}$

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

$\frac{3 \cdot 7}{35} - \frac{4 \cdot 5}{7 \cdot 5}$

Multiply $7$ by $5$ .

$\frac{3 \cdot 7}{35} - \frac{4 \cdot 5}{35}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 7 - 4 \cdot 5}{35}$

Step 5

Simplify the numerator.

Multiply $3$ by $7$ .

$\frac{21 - 4 \cdot 5}{35}$

Multiply $- 4$ by $5$ .

$\frac{21 - 20}{35}$

Subtract $20$ from $21$ .

$\frac{1}{35}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{35}$

Decimal Form:

$0.0\overline{285714}$