Solve 1/33.145^215

$$\frac{ 1 }{ 3 } 3.14 { 5 }^{ 2 } 15$$

Evaluate

$$392.5$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 5^{2}\times 15$$

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

$$\frac{1\times 157}{3\times 50}\times 5^{2}\times 15$$

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

$$\frac{157}{150}\times 5^{2}\times 15$$

Calculate 5 to the power of 2 and get 25.

$$\frac{157}{150}\times 25\times 15$$

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

$$\frac{157\times 25}{150}\times 15$$

Multiply 157 and 25 to get 3925.

$$\frac{3925}{150}\times 15$$

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

$$\frac{157}{6}\times 15$$

Express \frac{157}{6}\times 15 as a single fraction.

$$\frac{157\times 15}{6}$$

Multiply 157 and 15 to get 2355.

$$\frac{2355}{6}$$

Reduce the fraction \frac{2355}{6} to lowest terms by extracting and canceling out 3.

$$\frac{785}{2}$$

Factor

$$\frac{5 \cdot 157}{2} = 392\frac{1}{2} = 392.5$$