$$A \frac { 40 } { - 27 } \div \frac { - 10 } { 9 } =$$
$\frac{4A}{3}$
$$\frac{A\left(-\frac{40}{27}\right)}{\frac{-10}{9}}$$
$$\frac{A\left(-\frac{40}{27}\right)}{-\frac{10}{9}}$$
$$\frac{A\left(-\frac{40}{27}\right)\times 9}{-10}$$
$$\frac{A\times \frac{-40\times 9}{27}}{-10}$$
$$\frac{A\times \frac{-360}{27}}{-10}$$
$$\frac{A\left(-\frac{40}{3}\right)}{-10}$$
$$A\times \frac{4}{3}$$
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$\frac{4}{3} = 1\frac{1}{3} = 1.3333333333333333$
$$\frac{\mathrm{d}}{\mathrm{d}A}(\frac{A\left(-\frac{40}{27}\right)}{\frac{-10}{9}})$$
$$\frac{\mathrm{d}}{\mathrm{d}A}(\frac{A\left(-\frac{40}{27}\right)}{-\frac{10}{9}})$$
$$\frac{\mathrm{d}}{\mathrm{d}A}(\frac{A\left(-\frac{40}{27}\right)\times 9}{-10})$$
$$\frac{\mathrm{d}}{\mathrm{d}A}(\frac{A\times \frac{-40\times 9}{27}}{-10})$$
$$\frac{\mathrm{d}}{\mathrm{d}A}(\frac{A\times \frac{-360}{27}}{-10})$$
$$\frac{\mathrm{d}}{\mathrm{d}A}(\frac{A\left(-\frac{40}{3}\right)}{-10})$$
$$\frac{\mathrm{d}}{\mathrm{d}A}(A\times \frac{4}{3})$$
$$\frac{4}{3}A^{1-1}$$
$$\frac{4}{3}A^{0}$$
$$\frac{4}{3}\times 1$$
$$\frac{4}{3}$$
