Solve 4371-20*3div1000+40*2div1000+20*3div1000*2-20*2div1000*4-20*3div1000

$$4371-20 \times 3 \div 1000+40 \times 2 \div 1000+20 \times 3 \div 1000 \times 2-20 \times 2 \div 1000 \times 4-20 \times 3 \div 1000$$

Evaluate

$$\frac{109273}{25}=4370.92$$

Solution Steps

Multiply 20 and 3 to get 60.

$$4371-\frac{60}{1000}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Reduce the fraction \frac{60}{1000} to lowest terms by extracting and canceling out 20.

$$4371-\frac{3}{50}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Convert 4371 to fraction \frac{218550}{50}.

$$\frac{218550}{50}-\frac{3}{50}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Since \frac{218550}{50} and \frac{3}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{218550-3}{50}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Subtract 3 from 218550 to get 218547.

$$\frac{218547}{50}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Multiply 40 and 2 to get 80.

$$\frac{218547}{50}+\frac{80}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Reduce the fraction \frac{80}{1000} to lowest terms by extracting and canceling out 40.

$$\frac{218547}{50}+\frac{2}{25}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Least common multiple of 50 and 25 is 50. Convert \frac{218547}{50} and \frac{2}{25} to fractions with denominator 50.

$$\frac{218547}{50}+\frac{4}{50}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Since \frac{218547}{50} and \frac{4}{50} have the same denominator, add them by adding their numerators.

$$\frac{218547+4}{50}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Add 218547 and 4 to get 218551.

$$\frac{218551}{50}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Multiply 20 and 3 to get 60.

$$\frac{218551}{50}+\frac{60}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Reduce the fraction \frac{60}{1000} to lowest terms by extracting and canceling out 20.

$$\frac{218551}{50}+\frac{3}{50}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Express \frac{3}{50}\times 2 as a single fraction.

$$\frac{218551}{50}+\frac{3\times 2}{50}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Multiply 3 and 2 to get 6.

$$\frac{218551}{50}+\frac{6}{50}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Since \frac{218551}{50} and \frac{6}{50} have the same denominator, add them by adding their numerators.

$$\frac{218551+6}{50}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Add 218551 and 6 to get 218557.

$$\frac{218557}{50}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}$$

Multiply 20 and 2 to get 40.

$$\frac{218557}{50}-\frac{40}{1000}\times 4-\frac{20\times 3}{1000}$$

Reduce the fraction \frac{40}{1000} to lowest terms by extracting and canceling out 40.

$$\frac{218557}{50}-\frac{1}{25}\times 4-\frac{20\times 3}{1000}$$

Multiply \frac{1}{25} and 4 to get \frac{4}{25}.

$$\frac{218557}{50}-\frac{4}{25}-\frac{20\times 3}{1000}$$

Least common multiple of 50 and 25 is 50. Convert \frac{218557}{50} and \frac{4}{25} to fractions with denominator 50.

$$\frac{218557}{50}-\frac{8}{50}-\frac{20\times 3}{1000}$$

Since \frac{218557}{50} and \frac{8}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{218557-8}{50}-\frac{20\times 3}{1000}$$

Subtract 8 from 218557 to get 218549.

$$\frac{218549}{50}-\frac{20\times 3}{1000}$$

Multiply 20 and 3 to get 60.

$$\frac{218549}{50}-\frac{60}{1000}$$

Reduce the fraction \frac{60}{1000} to lowest terms by extracting and canceling out 20.

$$\frac{218549}{50}-\frac{3}{50}$$

Since \frac{218549}{50} and \frac{3}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{218549-3}{50}$$

Subtract 3 from 218549 to get 218546.

$$\frac{218546}{50}$$

Reduce the fraction \frac{218546}{50} to lowest terms by extracting and canceling out 2.

$$\frac{109273}{25}$$

Factor

$$\frac{23 \cdot 4751}{5 ^ {2}} = 4370\frac{23}{25} = 4370.92$$