Solve 0.5-1.8div6/100div1000

$$\frac { 0.5 - 1.8 \div 6 } { 100 \div 1000 }$$

Evaluate

$$2$$

Solution Steps

Expand \frac{1.8}{6} by multiplying both numerator and the denominator by 10.

$$\frac{0.5-\frac{18}{60}}{\frac{100}{1000}}$$

Reduce the fraction \frac{18}{60} to lowest terms by extracting and canceling out 6.

$$\frac{0.5-\frac{3}{10}}{\frac{100}{1000}}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{2}-\frac{3}{10}}{\frac{100}{1000}}$$

Least common multiple of 2 and 10 is 10. Convert \frac{1}{2} and \frac{3}{10} to fractions with denominator 10.

$$\frac{\frac{5}{10}-\frac{3}{10}}{\frac{100}{1000}}$$

Since \frac{5}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-3}{10}}{\frac{100}{1000}}$$

Subtract 3 from 5 to get 2.

$$\frac{\frac{2}{10}}{\frac{100}{1000}}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{5}}{\frac{100}{1000}}$$

Reduce the fraction \frac{100}{1000} to lowest terms by extracting and canceling out 100.

$$\frac{\frac{1}{5}}{\frac{1}{10}}$$

Divide \frac{1}{5} by \frac{1}{10} by multiplying \frac{1}{5} by the reciprocal of \frac{1}{10}.

$$\frac{1}{5}\times 10$$

Multiply \frac{1}{5} and 10 to get \frac{10}{5}.

$$\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$2$$

Factor

$$2$$