Solve 22/7*20.7*20.7*12

$$\frac { 22 } { 7 } \times 20.7 \times 20.7 \times 12$$

Evaluate

$$\frac{2828034}{175}\approx 16160.194285714$$

Solution Steps

Convert decimal number 20.7 to fraction \frac{207}{10}.

$$\frac{22}{7}\times \frac{207}{10}\times 20.7\times 12$$

Multiply \frac{22}{7} times \frac{207}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 207}{7\times 10}\times 20.7\times 12$$

Do the multiplications in the fraction \frac{22\times 207}{7\times 10}.

$$\frac{4554}{70}\times 20.7\times 12$$

Reduce the fraction \frac{4554}{70} to lowest terms by extracting and canceling out 2.

$$\frac{2277}{35}\times 20.7\times 12$$

Convert decimal number 20.7 to fraction \frac{207}{10}.

$$\frac{2277}{35}\times \frac{207}{10}\times 12$$

Multiply \frac{2277}{35} times \frac{207}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2277\times 207}{35\times 10}\times 12$$

Do the multiplications in the fraction \frac{2277\times 207}{35\times 10}.

$$\frac{471339}{350}\times 12$$

Express \frac{471339}{350}\times 12 as a single fraction.

$$\frac{471339\times 12}{350}$$

Multiply 471339 and 12 to get 5656068.

$$\frac{5656068}{350}$$

Reduce the fraction \frac{5656068}{350} to lowest terms by extracting and canceling out 2.

$$\frac{2828034}{175}$$

Factor

$$\frac{2 \cdot 11 \cdot 3 ^ {5} \cdot 23 ^ {2}}{7 \cdot 5 ^ {2}} = 16160\frac{34}{175} = 16160.194285714286$$