Solve 4/3*3.14*9*9*9

$$\frac{ 4 }{ 3 } \times 3.14 \times 9 \times 9 \times 9$$

Evaluate

$$3052.08$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 9\times 9\times 9$$

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

$$\frac{4\times 157}{3\times 50}\times 9\times 9\times 9$$

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

$$\frac{628}{150}\times 9\times 9\times 9$$

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

$$\frac{314}{75}\times 9\times 9\times 9$$

Express \frac{314}{75}\times 9 as a single fraction.

$$\frac{314\times 9}{75}\times 9\times 9$$

Multiply 314 and 9 to get 2826.

$$\frac{2826}{75}\times 9\times 9$$

Reduce the fraction \frac{2826}{75} to lowest terms by extracting and canceling out 3.

$$\frac{942}{25}\times 9\times 9$$

Express \frac{942}{25}\times 9 as a single fraction.

$$\frac{942\times 9}{25}\times 9$$

Multiply 942 and 9 to get 8478.

$$\frac{8478}{25}\times 9$$

Express \frac{8478}{25}\times 9 as a single fraction.

$$\frac{8478\times 9}{25}$$

Multiply 8478 and 9 to get 76302.

$$\frac{76302}{25}$$

Factor

$$\frac{2 \cdot 157 \cdot 3 ^ {5}}{5 ^ {2}} = 3052\frac{2}{25} = 3052.08$$