Solve (2.2(7)-17/36)div65div18

$$(2.2(7)- \frac{ 17 }{ 36 } ) \div 65 \div 18$$

Evaluate

$$\frac{2687}{210600}\approx 0.012758784$$

Solution Steps

Express \frac{\frac{2.2\times 7-\frac{17}{36}}{65}}{18} as a single fraction.

$$\frac{2.2\times 7-\frac{17}{36}}{65\times 18}$$

Multiply 2.2 and 7 to get 15.4.

$$\frac{15.4-\frac{17}{36}}{65\times 18}$$

Convert decimal number 15.4 to fraction \frac{154}{10}. Reduce the fraction \frac{154}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{77}{5}-\frac{17}{36}}{65\times 18}$$

Least common multiple of 5 and 36 is 180. Convert \frac{77}{5} and \frac{17}{36} to fractions with denominator 180.

$$\frac{\frac{2772}{180}-\frac{85}{180}}{65\times 18}$$

Since \frac{2772}{180} and \frac{85}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2772-85}{180}}{65\times 18}$$

Subtract 85 from 2772 to get 2687.

$$\frac{\frac{2687}{180}}{65\times 18}$$

Multiply 65 and 18 to get 1170.

$$\frac{\frac{2687}{180}}{1170}$$

Express \frac{\frac{2687}{180}}{1170} as a single fraction.

$$\frac{2687}{180\times 1170}$$

Multiply 180 and 1170 to get 210600.

$$\frac{2687}{210600}$$

Factor

$$\frac{2687}{13 \cdot 2 ^ {3} \cdot 3 ^ {4} \cdot 5 ^ {2}} = 0.012758784425451091$$