Solve 1/3*3.14*20*20*24

$$\frac{ 1 }{ 3 } \times 3.14 \cdot 20 \cdot 20 \cdot 24$$

Evaluate

$$10048$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 20\times 20\times 24$$

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

$$\frac{1\times 157}{3\times 50}\times 20\times 20\times 24$$

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

$$\frac{157}{150}\times 20\times 20\times 24$$

Express \frac{157}{150}\times 20 as a single fraction.

$$\frac{157\times 20}{150}\times 20\times 24$$

Multiply 157 and 20 to get 3140.

$$\frac{3140}{150}\times 20\times 24$$

Reduce the fraction \frac{3140}{150} to lowest terms by extracting and canceling out 10.

$$\frac{314}{15}\times 20\times 24$$

Express \frac{314}{15}\times 20 as a single fraction.

$$\frac{314\times 20}{15}\times 24$$

Multiply 314 and 20 to get 6280.

$$\frac{6280}{15}\times 24$$

Reduce the fraction \frac{6280}{15} to lowest terms by extracting and canceling out 5.

$$\frac{1256}{3}\times 24$$

Express \frac{1256}{3}\times 24 as a single fraction.

$$\frac{1256\times 24}{3}$$

Multiply 1256 and 24 to get 30144.

$$\frac{30144}{3}$$

Divide 30144 by 3 to get 10048.

$$10048$$

Factor

$$157\times 2^{6}$$