Solve 22/7*3.5*12.25

$$\frac{ 22 }{ 7 } \times 3.5 \times 12.25$$

Evaluate

$$134.75$$

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.

$$\frac{22}{7}\times \frac{7}{2}\times 12.25$$

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

$$\frac{22\times 7}{7\times 2}\times 12.25$$

Cancel out 7 in both numerator and denominator.

$$\frac{22}{2}\times 12.25$$

Divide 22 by 2 to get 11.

$$11\times 12.25$$

Multiply 11 and 12.25 to get 134.75.

$$134.75$$

Factor

$$\frac{11 \cdot 7 ^ {2}}{2 ^ {2}} = 134\frac{3}{4} = 134.75$$