Solve 1/3*2/7*7*7*12

$$\frac { 1 } { 3 } \times \frac { 2 } { 7 } \times 7 \times 7 \times 12$$

Evaluate

$$56$$

Solution Steps

Multiply \frac{1}{3} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2}{3\times 7}\times 7\times 7\times 12$$

Do the multiplications in the fraction \frac{1\times 2}{3\times 7}.

$$\frac{2}{21}\times 7\times 7\times 12$$

Express \frac{2}{21}\times 7 as a single fraction.

$$\frac{2\times 7}{21}\times 7\times 12$$

Multiply 2 and 7 to get 14.

$$\frac{14}{21}\times 7\times 12$$

Reduce the fraction \frac{14}{21} to lowest terms by extracting and canceling out 7.

$$\frac{2}{3}\times 7\times 12$$

Express \frac{2}{3}\times 7 as a single fraction.

$$\frac{2\times 7}{3}\times 12$$

Multiply 2 and 7 to get 14.

$$\frac{14}{3}\times 12$$

Express \frac{14}{3}\times 12 as a single fraction.

$$\frac{14\times 12}{3}$$

Multiply 14 and 12 to get 168.

$$\frac{168}{3}$$

Divide 168 by 3 to get 56.

$$56$$

Factor

$$2^{3}\times 7$$