Solve 150/360*3.14*24*24=

$$\frac{ 150 }{ 360 } \times 3.14 \times 24 \times 24=$$

Evaluate

$$753.6$$

Solution Steps

Reduce the fraction \frac{150}{360} to lowest terms by extracting and canceling out 30.

$$\frac{5}{12}\times 3.14\times 24\times 24$$

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.

$$\frac{5}{12}\times \frac{157}{50}\times 24\times 24$$

Multiply \frac{5}{12} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 157}{12\times 50}\times 24\times 24$$

Do the multiplications in the fraction \frac{5\times 157}{12\times 50}.

$$\frac{785}{600}\times 24\times 24$$

Reduce the fraction \frac{785}{600} to lowest terms by extracting and canceling out 5.

$$\frac{157}{120}\times 24\times 24$$

Express \frac{157}{120}\times 24 as a single fraction.

$$\frac{157\times 24}{120}\times 24$$

Multiply 157 and 24 to get 3768.

$$\frac{3768}{120}\times 24$$

Reduce the fraction \frac{3768}{120} to lowest terms by extracting and canceling out 24.

$$\frac{157}{5}\times 24$$

Express \frac{157}{5}\times 24 as a single fraction.

$$\frac{157\times 24}{5}$$

Multiply 157 and 24 to get 3768.

$$\frac{3768}{5}$$

Factor

$$\frac{3 \cdot 157 \cdot 2 ^ {3}}{5} = 753\frac{3}{5} = 753.6$$