Solve 1/3*3.14*5*5*4.5

$$\frac{ 1 }{ 3 } \times 3.14 \times 5 \times 5 \times 4.5$$

Evaluate

$$117.75$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 5\times 5\times 4.5$$

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

$$\frac{1\times 157}{3\times 50}\times 5\times 5\times 4.5$$

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

$$\frac{157}{150}\times 5\times 5\times 4.5$$

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

$$\frac{157\times 5}{150}\times 5\times 4.5$$

Multiply 157 and 5 to get 785.

$$\frac{785}{150}\times 5\times 4.5$$

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

$$\frac{157}{30}\times 5\times 4.5$$

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

$$\frac{157\times 5}{30}\times 4.5$$

Multiply 157 and 5 to get 785.

$$\frac{785}{30}\times 4.5$$

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

$$\frac{157}{6}\times 4.5$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{157}{6}\times \frac{9}{2}$$

Multiply \frac{157}{6} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 9}{6\times 2}$$

Do the multiplications in the fraction \frac{157\times 9}{6\times 2}.

$$\frac{1413}{12}$$

Reduce the fraction \frac{1413}{12} to lowest terms by extracting and canceling out 3.

$$\frac{471}{4}$$

Factor

$$\frac{3 \cdot 157}{2 ^ {2}} = 117\frac{3}{4} = 117.75$$