Solve 1/3*3.14*5*5*9*1.2

$$\frac{ 1 }{ 3 } \times 3.14 \times 5 \times 5 \times 9 \times 1.2$$

Evaluate

$$282.6$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 5\times 5\times 9\times 1.2$$

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

$$\frac{1\times 157}{3\times 50}\times 5\times 5\times 9\times 1.2$$

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

$$\frac{157}{150}\times 5\times 5\times 9\times 1.2$$

Express \frac{157}{150}\times 5 as a single fraction.

$$\frac{157\times 5}{150}\times 5\times 9\times 1.2$$

Multiply 157 and 5 to get 785.

$$\frac{785}{150}\times 5\times 9\times 1.2$$

Reduce the fraction \frac{785}{150} to lowest terms by extracting and canceling out 5.

$$\frac{157}{30}\times 5\times 9\times 1.2$$

Express \frac{157}{30}\times 5 as a single fraction.

$$\frac{157\times 5}{30}\times 9\times 1.2$$

Multiply 157 and 5 to get 785.

$$\frac{785}{30}\times 9\times 1.2$$

Reduce the fraction \frac{785}{30} to lowest terms by extracting and canceling out 5.

$$\frac{157}{6}\times 9\times 1.2$$

Express \frac{157}{6}\times 9 as a single fraction.

$$\frac{157\times 9}{6}\times 1.2$$

Multiply 157 and 9 to get 1413.

$$\frac{1413}{6}\times 1.2$$

Reduce the fraction \frac{1413}{6} to lowest terms by extracting and canceling out 3.

$$\frac{471}{2}\times 1.2$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{471}{2}\times \frac{6}{5}$$

Multiply \frac{471}{2} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{471\times 6}{2\times 5}$$

Do the multiplications in the fraction \frac{471\times 6}{2\times 5}.

$$\frac{2826}{10}$$

Reduce the fraction \frac{2826}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1413}{5}$$

Factor

$$\frac{157 \cdot 3 ^ {2}}{5} = 282\frac{3}{5} = 282.6$$