Solve 8*7*6/3*2*1/frac{10*9*8*2{4*3*2*1}}

$$\frac { \frac { 8 \times 7 \times 6 } { 3 \times 2 \times 1 } } { \frac { 10 \times 9 \times 8 \times 2 } { 4 \times 3 \times 2 \times 1 } }$$

Evaluate

$$\frac{14}{15}\approx 0.933333333$$

Solution Steps

Divide \frac{8\times 7\times 6}{3\times 2\times 1} by \frac{10\times 9\times 8\times 2}{4\times 3\times 2\times 1} by multiplying \frac{8\times 7\times 6}{3\times 2\times 1} by the reciprocal of \frac{10\times 9\times 8\times 2}{4\times 3\times 2\times 1}.

$$\frac{8\times 7\times 6\times 4\times 3\times 2\times 1}{3\times 2\times 1\times 10\times 9\times 8\times 2}$$

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

$$\frac{2\times 7}{3\times 5}$$

Multiply 2 and 7 to get 14.

$$\frac{14}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{14}{15}$$

Factor

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$