Solve 2div(2/6*1/4)=

$$2 \div ( \frac { 2 } { 6 } \times \frac { 1 } { 4 } ) =$$

Evaluate

$$24$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{\frac{1}{3}\times \frac{1}{4}}$$

Multiply \frac{1}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{\frac{1\times 1}{3\times 4}}$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 4}.

$$\frac{2}{\frac{1}{12}}$$

Divide 2 by \frac{1}{12} by multiplying 2 by the reciprocal of \frac{1}{12}.

$$2\times 12$$

Multiply 2 and 12 to get 24.

$$24$$

Factor

$$2^{3}\times 3$$