Solve (27/0.056-266)div18

$$( \frac{ 27 }{ 0.056 } -266) \div 18$$

Evaluate

$$\frac{1513}{126}\approx 12.007936508$$

Solution Steps

Expand \frac{27}{0.056} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{27000}{56}-266}{18}$$

Reduce the fraction \frac{27000}{56} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{3375}{7}-266}{18}$$

Convert 266 to fraction \frac{1862}{7}.

$$\frac{\frac{3375}{7}-\frac{1862}{7}}{18}$$

Since \frac{3375}{7} and \frac{1862}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3375-1862}{7}}{18}$$

Subtract 1862 from 3375 to get 1513.

$$\frac{\frac{1513}{7}}{18}$$

Express \frac{\frac{1513}{7}}{18} as a single fraction.

$$\frac{1513}{7\times 18}$$

Multiply 7 and 18 to get 126.

$$\frac{1513}{126}$$

Factor

$$\frac{17 \cdot 89}{2 \cdot 7 \cdot 3 ^ {2}} = 12\frac{1}{126} = 12.007936507936508$$