Solve (4*10)+(2*1)+(5*1/10)+(1*1/100)+(4*1/1000

$$( 4 \times 10 ) + ( 2 \times 1 ) + ( 5 \times \frac { 1 } { 10 } ) + ( 1 \times \frac { 1 } { 100 } ) + ( 4 \cdot \frac { 1 } { 1000 }$$

Evaluate

$$\frac{21257}{500}=42.514$$

Solution Steps

Multiply 4 and 10 to get 40. Multiply 2 and 1 to get 2.

$$40+2+5\times \frac{1}{10}+1\times \frac{1}{100}+4\times \frac{1}{1000}$$

Add 40 and 2 to get 42.

$$42+5\times \frac{1}{10}+1\times \frac{1}{100}+4\times \frac{1}{1000}$$

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

$$42+\frac{5}{10}+1\times \frac{1}{100}+4\times \frac{1}{1000}$$

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

$$42+\frac{1}{2}+1\times \frac{1}{100}+4\times \frac{1}{1000}$$

Convert 42 to fraction \frac{84}{2}.

$$\frac{84}{2}+\frac{1}{2}+1\times \frac{1}{100}+4\times \frac{1}{1000}$$

Since \frac{84}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{84+1}{2}+1\times \frac{1}{100}+4\times \frac{1}{1000}$$

Add 84 and 1 to get 85.

$$\frac{85}{2}+1\times \frac{1}{100}+4\times \frac{1}{1000}$$

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

$$\frac{85}{2}+\frac{1}{100}+4\times \frac{1}{1000}$$

Least common multiple of 2 and 100 is 100. Convert \frac{85}{2} and \frac{1}{100} to fractions with denominator 100.

$$\frac{4250}{100}+\frac{1}{100}+4\times \frac{1}{1000}$$

Since \frac{4250}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$\frac{4250+1}{100}+4\times \frac{1}{1000}$$

Add 4250 and 1 to get 4251.

$$\frac{4251}{100}+4\times \frac{1}{1000}$$

Multiply 4 and \frac{1}{1000} to get \frac{4}{1000}.

$$\frac{4251}{100}+\frac{4}{1000}$$

Reduce the fraction \frac{4}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{4251}{100}+\frac{1}{250}$$

Least common multiple of 100 and 250 is 500. Convert \frac{4251}{100} and \frac{1}{250} to fractions with denominator 500.

$$\frac{21255}{500}+\frac{2}{500}$$

Since \frac{21255}{500} and \frac{2}{500} have the same denominator, add them by adding their numerators.

$$\frac{21255+2}{500}$$

Add 21255 and 2 to get 21257.

$$\frac{21257}{500}$$

Factor

$$\frac{29 \cdot 733}{2 ^ {2} \cdot 5 ^ {3}} = 42\frac{257}{500} = 42.514$$