Solve 1/3*0.1*(-1/4)*(-12)

$$\frac { 1 } { 3 } \cdot 0.1 \cdot ( - \frac { 1 } { 4 } ) \cdot ( - 12 )$$

Evaluate

$$0.1$$

Solution Steps

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{1}{3}\times \frac{1}{10}\left(-\frac{1}{4}\right)\left(-12\right)$$

Multiply \frac{1}{3} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{3\times 10}\left(-\frac{1}{4}\right)\left(-12\right)$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 10}.

$$\frac{1}{30}\left(-\frac{1}{4}\right)\left(-12\right)$$

Multiply \frac{1}{30} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-1\right)}{30\times 4}\left(-12\right)$$

Do the multiplications in the fraction \frac{1\left(-1\right)}{30\times 4}.

$$\frac{-1}{120}\left(-12\right)$$

Fraction \frac{-1}{120} can be rewritten as -\frac{1}{120} by extracting the negative sign.

$$-\frac{1}{120}\left(-12\right)$$

Express -\frac{1}{120}\left(-12\right) as a single fraction.

$$\frac{-\left(-12\right)}{120}$$

Multiply -1 and -12 to get 12.

$$\frac{12}{120}$$

Reduce the fraction \frac{12}{120} to lowest terms by extracting and canceling out 12.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$