Solve 1/3*3,14*2*15

$$\frac { 1 } { 3 } \times 3,14 \times 2 \times 15$$

Evaluate

$$31,4$$

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.

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

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

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

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

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

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

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

Multiply 157 and 2 to get 314.

$$\frac{314}{150}\times 15$$

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

$$\frac{157}{75}\times 15$$

Express \frac{157}{75}\times 15 as a single fraction.

$$\frac{157\times 15}{75}$$

Multiply 157 and 15 to get 2355.

$$\frac{2355}{75}$$

Reduce the fraction \frac{2355}{75} to lowest terms by extracting and canceling out 15.

$$\frac{157}{5}$$

Factor

$$\frac{157}{5} = 31\frac{2}{5} = 31.4$$