Solve 6*5*4div12div11div10*21div55

$$6 \times 5 \times 4 \div 12 \div 11 \div 10 \times 21 \div 55$$

Evaluate

$$\frac{21}{605}\approx 0.034710744$$

Solution Steps

Express \frac{\frac{\frac{6\times 5\times 4}{12}}{11}}{10} as a single fraction.

$$\frac{\frac{\frac{6\times 5\times 4}{12}}{11\times 10}\times 21}{55}$$

Multiply 6 and 5 to get 30.

$$\frac{\frac{\frac{30\times 4}{12}}{11\times 10}\times 21}{55}$$

Multiply 30 and 4 to get 120.

$$\frac{\frac{\frac{120}{12}}{11\times 10}\times 21}{55}$$

Divide 120 by 12 to get 10.

$$\frac{\frac{10}{11\times 10}\times 21}{55}$$

Multiply 11 and 10 to get 110.

$$\frac{\frac{10}{110}\times 21}{55}$$

Reduce the fraction \frac{10}{110} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{1}{11}\times 21}{55}$$

Multiply \frac{1}{11} and 21 to get \frac{21}{11}.

$$\frac{\frac{21}{11}}{55}$$

Express \frac{\frac{21}{11}}{55} as a single fraction.

$$\frac{21}{11\times 55}$$

Multiply 11 and 55 to get 605.

$$\frac{21}{605}$$

Factor

$$\frac{3 \cdot 7}{5 \cdot 11 ^ {2}} = 0.03471074380165289$$