Solve 1/3*3.14*5^2*9

$$\frac{ 1 }{ 3 } \times 3.14 \times { 5 }^{ 2 } \times 9$$

Evaluate

$$235.5$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 5^{2}\times 9$$

Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{3\times 50}\times 5^{2}\times 9$$

Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.

$$\frac{157}{150}\times 5^{2}\times 9$$

Calculate 5 to the power of 2 and get 25.

$$\frac{157}{150}\times 25\times 9$$

Express \frac{157}{150}\times 25 as a single fraction.

$$\frac{157\times 25}{150}\times 9$$

Multiply 157 and 25 to get 3925.

$$\frac{3925}{150}\times 9$$

Reduce the fraction \frac{3925}{150} to lowest terms by extracting and canceling out 25.

$$\frac{157}{6}\times 9$$

Express \frac{157}{6}\times 9 as a single fraction.

$$\frac{157\times 9}{6}$$

Multiply 157 and 9 to get 1413.

$$\frac{1413}{6}$$

Reduce the fraction \frac{1413}{6} to lowest terms by extracting and canceling out 3.

$$\frac{471}{2}$$

Factor

$$\frac{3 \cdot 157}{2} = 235\frac{1}{2} = 235.5$$