Solve 4*1/8-5*1/25-10*1/100-100*1/1000=

$$4 \cdot \frac { 1 } { 8 } - 5 \cdot \frac { 1 } { 25 } - 10 \cdot \frac { 1 } { 100 } - 100 \cdot \frac { 1 } { 1000 } =$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

Multiply 4 and \frac{1}{8} to get \frac{4}{8}.

$$\frac{4}{8}-5\times \frac{1}{25}-10\times \frac{1}{100}-100\times \frac{1}{1000}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}-5\times \frac{1}{25}-10\times \frac{1}{100}-100\times \frac{1}{1000}$$

Multiply 5 and \frac{1}{25} to get \frac{5}{25}.

$$\frac{1}{2}-\frac{5}{25}-10\times \frac{1}{100}-100\times \frac{1}{1000}$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}-\frac{1}{5}-10\times \frac{1}{100}-100\times \frac{1}{1000}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{1}{5} to fractions with denominator 10.

$$\frac{5}{10}-\frac{2}{10}-10\times \frac{1}{100}-100\times \frac{1}{1000}$$

Since \frac{5}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-2}{10}-10\times \frac{1}{100}-100\times \frac{1}{1000}$$

Subtract 2 from 5 to get 3.

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

Multiply 10 and \frac{1}{100} to get \frac{10}{100}.

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

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

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

Since \frac{3}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 3 to get 2.

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

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

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

Multiply 100 and \frac{1}{1000} to get \frac{100}{1000}.

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

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

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

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{2}{10}-\frac{1}{10}$$

Since \frac{2}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{10}$$

Subtract 1 from 2 to get 1.

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

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$