Simplify 8/6+(-9/5)

$\frac{8}{6} + (- \frac{9}{5})$

Step 1

Remove parentheses.

$\frac{8}{6} - \frac{9}{5}$

Step 2

Cancel the common factor of $8$ and $6$ .

Factor $2$ out of $8$ .

$\frac{2 (4)}{6} - \frac{9}{5}$

Cancel the common factors.

Factor $2$ out of $6$ .

$\frac{2 \cdot 4}{2 \cdot 3} - \frac{9}{5}$

Cancel the common factor.

$\frac{2 \cdot 4}{2 \cdot 3} - \frac{9}{5}$

Rewrite the expression.

$\frac{4}{3} - \frac{9}{5}$

Step 3

To write $\frac{4}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{4}{3} \cdot \frac{5}{5} - \frac{9}{5}$

Step 4

To write $- \frac{9}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{4}{3} \cdot \frac{5}{5} - \frac{9}{5} \cdot \frac{3}{3}$

Step 5

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{4}{3}$ by $\frac{5}{5}$ .

$\frac{4 \cdot 5}{3 \cdot 5} - \frac{9}{5} \cdot \frac{3}{3}$

Multiply $3$ by $5$ .

$\frac{4 \cdot 5}{15} - \frac{9}{5} \cdot \frac{3}{3}$

Multiply $\frac{9}{5}$ by $\frac{3}{3}$ .

$\frac{4 \cdot 5}{15} - \frac{9 \cdot 3}{5 \cdot 3}$

Multiply $5$ by $3$ .

$\frac{4 \cdot 5}{15} - \frac{9 \cdot 3}{15}$

Step 6

Combine the numerators over the common denominator.

$\frac{4 \cdot 5 - 9 \cdot 3}{15}$

Step 7

Simplify the numerator.

Multiply $4$ by $5$ .

$\frac{20 - 9 \cdot 3}{15}$

Multiply $- 9$ by $3$ .

$\frac{20 - 27}{15}$

Subtract $27$ from $20$ .

$\frac{- 7}{15}$

Step 8

Move the negative in front of the fraction.

$- \frac{7}{15}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{15}$

Decimal Form:

$- 0.4\overline{6}$

Simplify 8/6+(-9/5)

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