Solve 6*5*4*4div10div9div8div7

$$6 \times 5 \times 4 \times 4 \div 10 \div 9 \div 8 \div 7$$

Evaluate

$$\frac{2}{21}\approx 0.095238095$$

Solution Steps

Express \frac{\frac{\frac{\frac{6\times 5\times 4\times 4}{10}}{9}}{8}}{7} as a single fraction.

$$\frac{\frac{\frac{6\times 5\times 4\times 4}{10}}{9}}{8\times 7}$$

Express \frac{\frac{6\times 5\times 4\times 4}{10}}{9} as a single fraction.

$$\frac{\frac{6\times 5\times 4\times 4}{10\times 9}}{8\times 7}$$

Cancel out 2\times 3\times 5 in both numerator and denominator.

$$\frac{\frac{4\times 4}{3}}{8\times 7}$$

Multiply 4 and 4 to get 16.

$$\frac{\frac{16}{3}}{8\times 7}$$

Multiply 8 and 7 to get 56.

$$\frac{\frac{16}{3}}{56}$$

Express \frac{\frac{16}{3}}{56} as a single fraction.

$$\frac{16}{3\times 56}$$

Multiply 3 and 56 to get 168.

$$\frac{16}{168}$$

Reduce the fraction \frac{16}{168} to lowest terms by extracting and canceling out 8.

$$\frac{2}{21}$$

Factor

$$\frac{2}{3 \cdot 7} = 0.09523809523809523$$