Solve 1/3*3.14*10^2*17

$$\frac{ 1 }{ 3 } \times 3.14 \times { 10 }^{ 2 } \times 17$$

Evaluate

$$\frac{5338}{3}\approx 1779.333333333$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 10^{2}\times 17$$

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

$$\frac{1\times 157}{3\times 50}\times 10^{2}\times 17$$

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

$$\frac{157}{150}\times 10^{2}\times 17$$

Calculate 10 to the power of 2 and get 100.

$$\frac{157}{150}\times 100\times 17$$

Express \frac{157}{150}\times 100 as a single fraction.

$$\frac{157\times 100}{150}\times 17$$

Multiply 157 and 100 to get 15700.

$$\frac{15700}{150}\times 17$$

Reduce the fraction \frac{15700}{150} to lowest terms by extracting and canceling out 50.

$$\frac{314}{3}\times 17$$

Express \frac{314}{3}\times 17 as a single fraction.

$$\frac{314\times 17}{3}$$

Multiply 314 and 17 to get 5338.

$$\frac{5338}{3}$$

Factor

$$\frac{2 \cdot 17 \cdot 157}{3} = 1779\frac{1}{3} = 1779.3333333333333$$