Simplify -9/5*2/3+(3/5)÷(4/5)

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

Simplify each term.

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Cancel the common factor of $3$ .

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Move the leading negative in $- \frac{9}{5}$ into the numerator.

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

Factor $3$ out of $- 9$ .

$\frac{3 (- 3)}{5} \cdot \frac{2}{3} + \frac{3}{5} \div \frac{4}{5}$

Cancel the common factor.

$\frac{3 \cdot - 3}{5} \cdot \frac{2}{3} + \frac{3}{5} \div \frac{4}{5}$

Rewrite the expression.

$\frac{- 3}{5} \cdot 2 + \frac{3}{5} \div \frac{4}{5}$

Combine $\frac{- 3}{5}$ and $2$ .

$\frac{- 3 \cdot 2}{5} + \frac{3}{5} \div \frac{4}{5}$

Multiply $- 3$ by $2$ .

$\frac{- 6}{5} + \frac{3}{5} \div \frac{4}{5}$

Move the negative in front of the fraction.

$- \frac{6}{5} + \frac{3}{5} \div \frac{4}{5}$

To divide by a fraction, multiply by its reciprocal.

$- \frac{6}{5} + \frac{3}{5} \cdot \frac{5}{4}$

Cancel the common factor of $5$ .

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Cancel the common factor.

$- \frac{6}{5} + \frac{3}{5} \cdot \frac{5}{4}$

Rewrite the expression.

$- \frac{6}{5} + 3 (\frac{1}{4})$

Combine $3$ and $\frac{1}{4}$ .

$- \frac{6}{5} + \frac{3}{4}$

To write $- \frac{6}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- \frac{6}{5} \cdot \frac{4}{4} + \frac{3}{4}$

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

$- \frac{6}{5} \cdot \frac{4}{4} + \frac{3}{4} \cdot \frac{5}{5}$

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{6}{5}$ and $\frac{4}{4}$ .

$- \frac{6 \cdot 4}{5 \cdot 4} + \frac{3}{4} \cdot \frac{5}{5}$

Multiply $5$ by $4$ .

$- \frac{6 \cdot 4}{20} + \frac{3}{4} \cdot \frac{5}{5}$

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

$- \frac{6 \cdot 4}{20} + \frac{3 \cdot 5}{4 \cdot 5}$

Multiply $4$ by $5$ .

$- \frac{6 \cdot 4}{20} + \frac{3 \cdot 5}{20}$

Combine the numerators over the common denominator.

$\frac{- 6 \cdot 4 + 3 \cdot 5}{20}$

Simplify the numerator.

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Multiply $- 6$ by $4$ .

$\frac{- 24 + 3 \cdot 5}{20}$

Multiply $3$ by $5$ .

$\frac{- 24 + 15}{20}$

Add $- 24$ and $15$ .

$\frac{- 9}{20}$

Move the negative in front of the fraction.

$- \frac{9}{20}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{20}$

Decimal Form:

$- 0.45$

Simplify -9/5*2/3+(3/5)÷(4/5)

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