Solve 1/4*2*22/7*12

$$\frac { 1 } { 4 } \times 2 \times \frac { 22 } { 7 } \times 12$$

Evaluate

$$\frac{132}{7}\approx 18.857142857$$

Solution Steps

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{2}{4}\times \frac{22}{7}\times 12$$

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

$$\frac{1}{2}\times \frac{22}{7}\times 12$$

Multiply \frac{1}{2} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{2\times 7}\times 12$$

Do the multiplications in the fraction \frac{1\times 22}{2\times 7}.

$$\frac{22}{14}\times 12$$

Reduce the fraction \frac{22}{14} to lowest terms by extracting and canceling out 2.

$$\frac{11}{7}\times 12$$

Express \frac{11}{7}\times 12 as a single fraction.

$$\frac{11\times 12}{7}$$

Multiply 11 and 12 to get 132.

$$\frac{132}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 11}{7} = 18\frac{6}{7} = 18.857142857142858$$