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

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

Evaluate

$$\frac{314}{15}\approx 20.933333333$$

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.

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

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

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

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

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

Express \frac{157}{150}\times 2 as a single fraction.

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

Multiply 157 and 2 to get 314.

$$\frac{314}{150}\times 2\times 5$$

Reduce the fraction \frac{314}{150} to lowest terms by extracting and canceling out 2.

$$\frac{157}{75}\times 2\times 5$$

Express \frac{157}{75}\times 2 as a single fraction.

$$\frac{157\times 2}{75}\times 5$$

Multiply 157 and 2 to get 314.

$$\frac{314}{75}\times 5$$

Express \frac{314}{75}\times 5 as a single fraction.

$$\frac{314\times 5}{75}$$

Multiply 314 and 5 to get 1570.

$$\frac{1570}{75}$$

Reduce the fraction \frac{1570}{75} to lowest terms by extracting and canceling out 5.

$$\frac{314}{15}$$

Factor

$$\frac{2 \cdot 157}{3 \cdot 5} = 20\frac{14}{15} = 20.933333333333334$$