Simplify (6b)/7-(3b)/5

$\frac{6 b}{7} - \frac{3 b}{5}$

To write $\frac{6 b}{7}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

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

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

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

Multiply $\frac{6 b}{7}$ by $\frac{5}{5}$ .

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

Multiply $7$ by $5$ .

$\frac{6 b \cdot 5}{35} - \frac{3 b}{5} \cdot \frac{7}{7}$

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

$\frac{6 b \cdot 5}{35} - \frac{3 b \cdot 7}{5 \cdot 7}$

Multiply $5$ by $7$ .

$\frac{6 b \cdot 5}{35} - \frac{3 b \cdot 7}{35}$

Combine the numerators over the common denominator.

$\frac{6 b \cdot 5 - 3 b \cdot 7}{35}$

Simplify the numerator.

Factor $3 b$ out of $6 b \cdot 5 - 3 b \cdot 7$ .

Factor $3 b$ out of $6 b \cdot 5$ .

$\frac{3 b (2 \cdot 5) - 3 b \cdot 7}{35}$

Factor $3 b$ out of $- 3 b \cdot 7$ .

$\frac{3 b (2 \cdot 5) + 3 b (- 1 \cdot 7)}{35}$

Factor $3 b$ out of $3 b (2 \cdot 5) + 3 b (- 1 \cdot 7)$ .

$\frac{3 b (2 \cdot 5 - 1 \cdot 7)}{35}$

Combine exponents.

Multiply $2$ by $5$ .

$\frac{3 b (10 - 1 \cdot 7)}{35}$

Multiply $- 1$ by $7$ .

$\frac{3 b (10 - 7)}{35}$

Subtract $7$ from $10$ .

$\frac{3 b \cdot 3}{35}$

Multiply $3$ by $3$ .

$\frac{9 b}{35}$