Solve 9*8*7/12*11*10*1/220

$$\frac { 9 \times 8 \times 7 } { 12 \times 11 \times 10 } \times \frac { 1 } { 220 }$$

Evaluate

$$\frac{21}{12100}\approx 0.001735537$$

Solution Steps

Cancel out 2\times 3\times 4 in both numerator and denominator.

$$\frac{3\times 7}{5\times 11}\times \frac{1}{220}$$

Multiply 3 and 7 to get 21.

$$\frac{21}{5\times 11}\times \frac{1}{220}$$

Multiply 5 and 11 to get 55.

$$\frac{21}{55}\times \frac{1}{220}$$

Multiply \frac{21}{55} times \frac{1}{220} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 1}{55\times 220}$$

Do the multiplications in the fraction \frac{21\times 1}{55\times 220}.

$$\frac{21}{12100}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 5 ^ {2} \cdot 11 ^ {2}} = 0.0017355371900826446$$