Solve 150/360*3.14*144

$$\frac{ 150 }{ 360 } \times 3.14 \times 144$$

Evaluate

$$188.4$$

Solution Steps

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

$$\frac{5}{12}\times 3.14\times 144$$

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.

$$\frac{5}{12}\times \frac{157}{50}\times 144$$

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

$$\frac{5\times 157}{12\times 50}\times 144$$

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

$$\frac{785}{600}\times 144$$

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

$$\frac{157}{120}\times 144$$

Express \frac{157}{120}\times 144 as a single fraction.

$$\frac{157\times 144}{120}$$

Multiply 157 and 144 to get 22608.

$$\frac{22608}{120}$$

Reduce the fraction \frac{22608}{120} to lowest terms by extracting and canceling out 24.

$$\frac{942}{5}$$

Factor

$$\frac{2 \cdot 3 \cdot 157}{5} = 188\frac{2}{5} = 188.4$$