Solve =4/3*3.14*15*15*15

$$= \frac { 4 } { 3 } \times 3.14 \times 15 \times 15 \times 15$$

Evaluate

$$14130$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 15\times 15\times 15$$

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

$$\frac{4\times 157}{3\times 50}\times 15\times 15\times 15$$

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

$$\frac{628}{150}\times 15\times 15\times 15$$

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

$$\frac{314}{75}\times 15\times 15\times 15$$

Express \frac{314}{75}\times 15 as a single fraction.

$$\frac{314\times 15}{75}\times 15\times 15$$

Multiply 314 and 15 to get 4710.

$$\frac{4710}{75}\times 15\times 15$$

Reduce the fraction \frac{4710}{75} to lowest terms by extracting and canceling out 15.

$$\frac{314}{5}\times 15\times 15$$

Express \frac{314}{5}\times 15 as a single fraction.

$$\frac{314\times 15}{5}\times 15$$

Multiply 314 and 15 to get 4710.

$$\frac{4710}{5}\times 15$$

Divide 4710 by 5 to get 942.

$$942\times 15$$

Multiply 942 and 15 to get 14130.

$$14130$$

Factor

$$2\times 5\times 157\times 3^{2}$$