Solve 4/3*3.14*.5^3

$$\frac { 4 } { 3 } \times 3.14 \times .5 ^ { 3 }$$

Evaluate

$$\frac{157}{300}\approx 0.523333333$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 0.5^{3}$$

Multiply \frac{4}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 157}{3\times 50}\times 0.5^{3}$$

Do the multiplications in the fraction \frac{4\times 157}{3\times 50}.

$$\frac{628}{150}\times 0.5^{3}$$

Reduce the fraction \frac{628}{150} to lowest terms by extracting and canceling out 2.

$$\frac{314}{75}\times 0.5^{3}$$

Calculate 0.5 to the power of 3 and get 0.125.

$$\frac{314}{75}\times 0.125$$

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{314}{75}\times \frac{1}{8}$$

Multiply \frac{314}{75} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 1}{75\times 8}$$

Do the multiplications in the fraction \frac{314\times 1}{75\times 8}.

$$\frac{314}{600}$$

Reduce the fraction \frac{314}{600} to lowest terms by extracting and canceling out 2.

$$\frac{157}{300}$$

Factor

$$\frac{157}{3 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 0.5233333333333333$$