Solve 1/3*3.14*9*4=

$$\frac { 1 } { 3 } \cdot 3.14 \cdot 9 \cdot 4 =$$

Evaluate

$$37.68$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 9\times 4$$

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

$$\frac{1\times 157}{3\times 50}\times 9\times 4$$

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

$$\frac{157}{150}\times 9\times 4$$

Express \frac{157}{150}\times 9 as a single fraction.

$$\frac{157\times 9}{150}\times 4$$

Multiply 157 and 9 to get 1413.

$$\frac{1413}{150}\times 4$$

Reduce the fraction \frac{1413}{150} to lowest terms by extracting and canceling out 3.

$$\frac{471}{50}\times 4$$

Express \frac{471}{50}\times 4 as a single fraction.

$$\frac{471\times 4}{50}$$

Multiply 471 and 4 to get 1884.

$$\frac{1884}{50}$$

Reduce the fraction \frac{1884}{50} to lowest terms by extracting and canceling out 2.

$$\frac{942}{25}$$

Factor

$$\frac{2 \cdot 3 \cdot 157}{5 ^ {2}} = 37\frac{17}{25} = 37.68$$