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

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

Evaluate

$$112$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{3}\times \frac{4}{7}\times 7\times 7\times 12$$

Multiply \frac{1}{3} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{3\times 7}\times 7\times 7\times 12$$

Do the multiplications in the fraction \frac{1\times 4}{3\times 7}.

$$\frac{4}{21}\times 7\times 7\times 12$$

Express \frac{4}{21}\times 7 as a single fraction.

$$\frac{4\times 7}{21}\times 7\times 12$$

Multiply 4 and 7 to get 28.

$$\frac{28}{21}\times 7\times 12$$

Reduce the fraction \frac{28}{21} to lowest terms by extracting and canceling out 7.

$$\frac{4}{3}\times 7\times 12$$

Express \frac{4}{3}\times 7 as a single fraction.

$$\frac{4\times 7}{3}\times 12$$

Multiply 4 and 7 to get 28.

$$\frac{28}{3}\times 12$$

Express \frac{28}{3}\times 12 as a single fraction.

$$\frac{28\times 12}{3}$$

Multiply 28 and 12 to get 336.

$$\frac{336}{3}$$

Divide 336 by 3 to get 112.

$$112$$

Factor

$$2^{4}\times 7$$