Simplify -9/6+(-3/5)

$- \frac{9}{6} + (- \frac{3}{5})$

Step 1

Remove parentheses.

$- \frac{9}{6} - \frac{3}{5}$

Step 2

Cancel the common factor of $9$ and $6$ .

Factor $3$ out of $9$ .

$- \frac{3 (3)}{6} - \frac{3}{5}$

Cancel the common factors.

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

To write $- \frac{3}{2}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 4

To write $- \frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 5

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{2}$ by $\frac{5}{5}$ .

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

Multiply $2$ by $5$ .

$- \frac{3 \cdot 5}{10} - \frac{3}{5} \cdot \frac{2}{2}$

Multiply $\frac{3}{5}$ by $\frac{2}{2}$ .

$- \frac{3 \cdot 5}{10} - \frac{3 \cdot 2}{5 \cdot 2}$

Multiply $5$ by $2$ .

$- \frac{3 \cdot 5}{10} - \frac{3 \cdot 2}{10}$

Step 6

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 5 - 3 \cdot 2}{10}$

Step 7

Simplify the numerator.

Multiply $- 3$ by $5$ .

$\frac{- 15 - 3 \cdot 2}{10}$

Multiply $- 3$ by $2$ .

$\frac{- 15 - 6}{10}$

Subtract $6$ from $- 15$ .

$\frac{- 21}{10}$

Step 8

Move the negative in front of the fraction.

$- \frac{21}{10}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{21}{10}$

Decimal Form:

$- 2.1$

Mixed Number Form:

$- 2 \frac{1}{10}$

Simplify -9/6+(-3/5)

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