Solve 22/7*3.5*3.5div770

$$\frac{ 22 }{ 7 } \times 3.5 \times 3.5 \div 770$$

Evaluate

$$0.05$$

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.

$$\frac{\frac{22}{7}\times \frac{7}{2}\times 3.5}{770}$$

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

$$\frac{\frac{22\times 7}{7\times 2}\times 3.5}{770}$$

Cancel out 7 in both numerator and denominator.

$$\frac{\frac{22}{2}\times 3.5}{770}$$

Divide 22 by 2 to get 11.

$$\frac{11\times 3.5}{770}$$

Multiply 11 and 3.5 to get 38.5.

$$\frac{38.5}{770}$$

Expand \frac{38.5}{770} by multiplying both numerator and the denominator by 10.

$$\frac{385}{7700}$$

Reduce the fraction \frac{385}{7700} to lowest terms by extracting and canceling out 385.

$$\frac{1}{20}$$

Factor

$$\frac{1}{5 \cdot 2 ^ {2}} = 0.05$$