Solve 3.14div4-(1-0.785)

$$3.14 \div 4-(1-0.785)$$

Evaluate

$$0.57$$

Solution Steps

Expand \frac{3.14}{4} by multiplying both numerator and the denominator by 100.

$$\frac{314}{400}-\left(1-0.785\right)$$

Reduce the fraction \frac{314}{400} to lowest terms by extracting and canceling out 2.

$$\frac{157}{200}-\left(1-0.785\right)$$

Subtract 0.785 from 1 to get 0.215.

$$\frac{157}{200}-0.215$$

Convert decimal number 0.215 to fraction \frac{215}{1000}. Reduce the fraction \frac{215}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{157}{200}-\frac{43}{200}$$

Since \frac{157}{200} and \frac{43}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{157-43}{200}$$

Subtract 43 from 157 to get 114.

$$\frac{114}{200}$$

Reduce the fraction \frac{114}{200} to lowest terms by extracting and canceling out 2.

$$\frac{57}{100}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {2} \cdot 5 ^ {2}} = 0.57$$