Solve 5/2*3.14*45

$$\frac{ 5 }{ 2 } \times 3.14 \times 45$$

Evaluate

$$353.25$$

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.

$$\frac{5}{2}\times \frac{157}{50}\times 45$$

Multiply \frac{5}{2} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 157}{2\times 50}\times 45$$

Do the multiplications in the fraction \frac{5\times 157}{2\times 50}.

$$\frac{785}{100}\times 45$$

Reduce the fraction \frac{785}{100} to lowest terms by extracting and canceling out 5.

$$\frac{157}{20}\times 45$$

Express \frac{157}{20}\times 45 as a single fraction.

$$\frac{157\times 45}{20}$$

Multiply 157 and 45 to get 7065.

$$\frac{7065}{20}$$

Reduce the fraction \frac{7065}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1413}{4}$$

Factor

$$\frac{157 \cdot 3 ^ {2}}{2 ^ {2}} = 353\frac{1}{4} = 353.25$$