Solve 1/2*3.14*25-25

$$\frac{ 1 }{ 2 } \times 3.14 \times 25-25$$

Evaluate

$$14.25$$

Solution Steps

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{157}{50}\times 25-25$$

Multiply \frac{1}{2} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{2\times 50}\times 25-25$$

Do the multiplications in the fraction \frac{1\times 157}{2\times 50}.

$$\frac{157}{100}\times 25-25$$

Express \frac{157}{100}\times 25 as a single fraction.

$$\frac{157\times 25}{100}-25$$

Multiply 157 and 25 to get 3925.

$$\frac{3925}{100}-25$$

Reduce the fraction \frac{3925}{100} to lowest terms by extracting and canceling out 25.

$$\frac{157}{4}-25$$

Convert 25 to fraction \frac{100}{4}.

$$\frac{157}{4}-\frac{100}{4}$$

Since \frac{157}{4} and \frac{100}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{157-100}{4}$$

Subtract 100 from 157 to get 57.

$$\frac{57}{4}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {2}} = 14\frac{1}{4} = 14.25$$