Evaluate 1/9(3/5)-1/57/3

$\frac{1}{9} (\frac{3}{5}) - \frac{1}{5} \cdot \frac{7}{3}$

Step 1

Simplify each term.

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{1}{3 (3)} \cdot \frac{3}{5} - \frac{1}{5} \cdot \frac{7}{3}$

Cancel the common factor.

$\frac{1}{3 \cdot 3} \cdot \frac{3}{5} - \frac{1}{5} \cdot \frac{7}{3}$

Rewrite the expression.

$\frac{1}{3} \cdot \frac{1}{5} - \frac{1}{5} \cdot \frac{7}{3}$

Multiply $\frac{1}{3}$ by $\frac{1}{5}$ .

$\frac{1}{3 \cdot 5} - \frac{1}{5} \cdot \frac{7}{3}$

Multiply $3$ by $5$ .

$\frac{1}{15} - \frac{1}{5} \cdot \frac{7}{3}$

Multiply $- \frac{1}{5} \cdot \frac{7}{3}$ .

Multiply $\frac{7}{3}$ by $\frac{1}{5}$ .

$\frac{1}{15} - \frac{7}{3 \cdot 5}$

Multiply $3$ by $5$ .

$\frac{1}{15} - \frac{7}{15}$

Step 2

Simplify terms.

Combine the numerators over the common denominator.

$\frac{1 - 7}{15}$

Subtract $7$ from $1$ .

$\frac{- 6}{15}$

Cancel the common factor of $- 6$ and $15$ .

Factor $3$ out of $- 6$ .

$\frac{3 (- 2)}{15}$

Cancel the common factors.

Factor $3$ out of $15$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 2}{5}$

Move the negative in front of the fraction.

$- \frac{2}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{5}$

Decimal Form:

$- 0.4$