Solve 2/4*4/3div1/6=

$$\frac { 2 } { 4 } \times \frac { 4 } { 3 } \div \frac { 1 } { 6 } =$$

Evaluate

$$4$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{2}\times \frac{4}{3}}{\frac{1}{6}}$$

Multiply \frac{1}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 4}{2\times 3}}{\frac{1}{6}}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 3}.

$$\frac{\frac{4}{6}}{\frac{1}{6}}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2}{3}}{\frac{1}{6}}$$

Divide \frac{2}{3} by \frac{1}{6} by multiplying \frac{2}{3} by the reciprocal of \frac{1}{6}.

$$\frac{2}{3}\times 6$$

Express \frac{2}{3}\times 6 as a single fraction.

$$\frac{2\times 6}{3}$$

Multiply 2 and 6 to get 12.

$$\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$4$$

Factor

$$2^{2}$$