Solve 81/6*20/6*18/3*21/9

$$8 \frac{ 1 }{ 6 } \times \frac{ 20 }{ 6 } \times \frac{ 18 }{ 3 } \times \frac{ 21 }{ 9 }$$

Evaluate

$$\frac{3430}{9}\approx 381.111111111$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{48+1}{6}\times \frac{20}{6}\times \frac{18}{3}\times \frac{21}{9}$$

Add 48 and 1 to get 49.

$$\frac{49}{6}\times \frac{20}{6}\times \frac{18}{3}\times \frac{21}{9}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{49}{6}\times \frac{10}{3}\times \frac{18}{3}\times \frac{21}{9}$$

Multiply \frac{49}{6} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 10}{6\times 3}\times \frac{18}{3}\times \frac{21}{9}$$

Do the multiplications in the fraction \frac{49\times 10}{6\times 3}.

$$\frac{490}{18}\times \frac{18}{3}\times \frac{21}{9}$$

Reduce the fraction \frac{490}{18} to lowest terms by extracting and canceling out 2.

$$\frac{245}{9}\times \frac{18}{3}\times \frac{21}{9}$$

Divide 18 by 3 to get 6.

$$\frac{245}{9}\times 6\times \frac{21}{9}$$

Express \frac{245}{9}\times 6 as a single fraction.

$$\frac{245\times 6}{9}\times \frac{21}{9}$$

Multiply 245 and 6 to get 1470.

$$\frac{1470}{9}\times \frac{21}{9}$$

Reduce the fraction \frac{1470}{9} to lowest terms by extracting and canceling out 3.

$$\frac{490}{3}\times \frac{21}{9}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$\frac{490}{3}\times \frac{7}{3}$$

Multiply \frac{490}{3} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{490\times 7}{3\times 3}$$

Do the multiplications in the fraction \frac{490\times 7}{3\times 3}.

$$\frac{3430}{9}$$

Factor

$$\frac{2 \cdot 5 \cdot 7 ^ {3}}{3 ^ {2}} = 381\frac{1}{9} = 381.1111111111111$$