Solve 1-12*11*10*9/12^4

$$1 - \frac { 12 \times 11 \times 10 \times 9 } { 12 ^ { 4 } }$$

Evaluate

$$\frac{41}{96}\approx 0.427083333$$

Solution Steps

Cancel out 12 in both numerator and denominator.

$$1-\frac{9\times 10\times 11}{12^{3}}$$

Multiply 9 and 10 to get 90.

$$1-\frac{90\times 11}{12^{3}}$$

Multiply 90 and 11 to get 990.

$$1-\frac{990}{12^{3}}$$

Calculate 12 to the power of 3 and get 1728.

$$1-\frac{990}{1728}$$

Reduce the fraction \frac{990}{1728} to lowest terms by extracting and canceling out 18.

$$1-\frac{55}{96}$$

Convert 1 to fraction \frac{96}{96}.

$$\frac{96}{96}-\frac{55}{96}$$

Since \frac{96}{96} and \frac{55}{96} have the same denominator, subtract them by subtracting their numerators.

$$\frac{96-55}{96}$$

Subtract 55 from 96 to get 41.

$$\frac{41}{96}$$

Factor

$$\frac{41}{2 ^ {5} \cdot 3} = 0.4270833333333333$$