Solve =4/3*3.14*5^3

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

Evaluate

$$\frac{1570}{3}\approx 523.333333333$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 5^{3}$$

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

$$\frac{4\times 157}{3\times 50}\times 5^{3}$$

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

$$\frac{628}{150}\times 5^{3}$$

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

$$\frac{314}{75}\times 5^{3}$$

Calculate 5 to the power of 3 and get 125.

$$\frac{314}{75}\times 125$$

Express \frac{314}{75}\times 125 as a single fraction.

$$\frac{314\times 125}{75}$$

Multiply 314 and 125 to get 39250.

$$\frac{39250}{75}$$

Reduce the fraction \frac{39250}{75} to lowest terms by extracting and canceling out 25.

$$\frac{1570}{3}$$

Factor

$$\frac{2 \cdot 5 \cdot 157}{3} = 523\frac{1}{3} = 523.3333333333334$$