Solve 20/100+6/1000+1/2000-5/1

$$\frac{ 20 }{ 100 } + \frac{ 6 }{ 1000 } + \frac{ 1 }{ 2000 } - \frac{ 5 }{ 1 }$$

Evaluate

$$-\frac{9587}{2000}=-4.7935$$

Solution Steps

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{1}{5}+\frac{6}{1000}+\frac{1}{2000}-\frac{5}{1}$$

Reduce the fraction \frac{6}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{3}{500}+\frac{1}{2000}-\frac{5}{1}$$

Least common multiple of 5 and 500 is 500. Convert \frac{1}{5} and \frac{3}{500} to fractions with denominator 500.

$$\frac{100}{500}+\frac{3}{500}+\frac{1}{2000}-\frac{5}{1}$$

Since \frac{100}{500} and \frac{3}{500} have the same denominator, add them by adding their numerators.

$$\frac{100+3}{500}+\frac{1}{2000}-\frac{5}{1}$$

Add 100 and 3 to get 103.

$$\frac{103}{500}+\frac{1}{2000}-\frac{5}{1}$$

Least common multiple of 500 and 2000 is 2000. Convert \frac{103}{500} and \frac{1}{2000} to fractions with denominator 2000.

$$\frac{412}{2000}+\frac{1}{2000}-\frac{5}{1}$$

Since \frac{412}{2000} and \frac{1}{2000} have the same denominator, add them by adding their numerators.

$$\frac{412+1}{2000}-\frac{5}{1}$$

Add 412 and 1 to get 413.

$$\frac{413}{2000}-\frac{5}{1}$$

Anything divided by one gives itself.

$$\frac{413}{2000}-5$$

Convert 5 to fraction \frac{10000}{2000}.

$$\frac{413}{2000}-\frac{10000}{2000}$$

Since \frac{413}{2000} and \frac{10000}{2000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{413-10000}{2000}$$

Subtract 10000 from 413 to get -9587.

$$-\frac{9587}{2000}$$

Factor

$$-\frac{9587}{2000} = -4\frac{1587}{2000} = -4.7935$$