Solve 1/3*3.14*10.*30

$$\frac{ 1 }{ 3 } \times 3.14 \times 10. \times 30$$

Evaluate

$$\frac{157}{15}\approx 10.466666667$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 10$$

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

$$\frac{1\times 157}{3\times 50}\times 10$$

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

$$\frac{157}{150}\times 10$$

Express \frac{157}{150}\times 10 as a single fraction.

$$\frac{157\times 10}{150}$$

Multiply 157 and 10 to get 1570.

$$\frac{1570}{150}$$

Reduce the fraction \frac{1570}{150} to lowest terms by extracting and canceling out 10.

$$\frac{157}{15}$$

Factor

$$\frac{157}{3 \cdot 5} = 10\frac{7}{15} = 10.466666666666667$$