Solve (1)/(2)\div(-(1)/(3))\times(-(8)/(5))

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Question

$$\frac{ 1 }{ 2 } \div (- \frac{ 1 }{ 3 } ) \times (- \frac{ 8 }{ 5 } )$$

$\frac{12}{5}=2.4$

Divide $\frac{1}{2}$ by $-\frac{1}{3}$ by multiplying $\frac{1}{2}$ by the reciprocal of $-\frac{1}{3}$.

$$\frac{1}{2}\left(-3\right)\left(-\frac{8}{5}\right)$$

Multiply $\frac{1}{2}$ and $-3$ to get $\frac{-3}{2}$.

$$\frac{-3}{2}\left(-\frac{8}{5}\right)$$

Fraction $\frac{-3}{2}$ can be rewritten as $-\frac{3}{2}$ by extracting the negative sign.

$$-\frac{3}{2}\left(-\frac{8}{5}\right)$$

Multiply $-\frac{3}{2}$ times $-\frac{8}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-8\right)}{2\times 5}$$

Do the multiplications in the fraction $\frac{-3\left(-8\right)}{2\times 5}$.

$$\frac{24}{10}$$

Reduce the fraction $\frac{24}{10}$ to lowest terms by extracting and canceling out $2$.

$$\frac{12}{5}$$

$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$