Simplify -6/7-3/5

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

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

Multiply $7$ by $5$ .

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

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

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

Multiply $5$ by $7$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $- 6$ by $5$ .

$\frac{- 30 - 3 \cdot 7}{35}$

Multiply $- 3$ by $7$ .

$\frac{- 30 - 21}{35}$

Subtract $21$ from $- 30$ .

$\frac{- 51}{35}$

Step 6

Move the negative in front of the fraction.

$- \frac{51}{35}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{51}{35}$

Decimal Form:

$- 1.45714285 \dots$

Mixed Number Form:

$- 1 \frac{16}{35}$