Solve 22/7*3.5*3.5*12

$$\frac { 22 } { 7 } \times 3.5 \times 3.5 \times 12$$

Evaluate

$$462$$

Solution Steps

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{22}{7}\times \frac{7}{2}\times 3.5\times 12$$

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

$$\frac{22\times 7}{7\times 2}\times 3.5\times 12$$

Cancel out 7 in both numerator and denominator.

$$\frac{22}{2}\times 3.5\times 12$$

Divide 22 by 2 to get 11.

$$11\times 3.5\times 12$$

Multiply 11 and 3.5 to get 38.5.

$$38.5\times 12$$

Multiply 38.5 and 12 to get 462.

$$462$$

Factor

$$2\times 3\times 7\times 11$$