Solve A=-(2)/(3)\times(4)/(5)\div(4)/(15)

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Question

$$A=- \frac{ 2 }{ 3 } \times \frac{ 4 }{ 5 } \div \frac{ 4 }{ 15 }$$

$A=-2$

Multiply $-\frac{2}{3}$ times $\frac{4}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$A=\frac{\frac{-2\times 4}{3\times 5}}{\frac{4}{15}}$$

Do the multiplications in the fraction $\frac{-2\times 4}{3\times 5}$.

$$A=\frac{\frac{-8}{15}}{\frac{4}{15}}$$

Fraction $\frac{-8}{15}$ can be rewritten as $-\frac{8}{15}$ by extracting the negative sign.

$$A=\frac{-\frac{8}{15}}{\frac{4}{15}}$$

Divide $-\frac{8}{15}$ by $\frac{4}{15}$ by multiplying $-\frac{8}{15}$ by the reciprocal of $\frac{4}{15}$.

$$A=-\frac{8}{15}\times \frac{15}{4}$$

Multiply $-\frac{8}{15}$ times $\frac{15}{4}$ by multiplying numerator times numerator and denominator times denominator.

$$A=\frac{-8\times 15}{15\times 4}$$

Cancel out $15$ in both numerator and denominator.

$$A=\frac{-8}{4}$$

Divide $-8$ by $4$ to get $-2$.

$$A=-2$$

$A≔-2$