Solve 43.71-20*3div1000+40*2div1000+20*3div1000*2-20*2div1000*4-20*3div1000*2+2*20div1000*2

$$43.71-20 \times 3 \div 1000+40 \times 2 \div 1000+20 \times 3 \div 1000 \times 2-20 \times 2 \div 1000 \times 4-20 \times 3 \div 1000 \times 2+2 \times 20 \div 1000 \times 2$$

Evaluate

$$43.65$$

Solution Steps

Multiply 20 and 3 to get 60.

$$43.71-\frac{60}{1000}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

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

$$43.71-\frac{3}{50}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Convert decimal number 43.71 to fraction \frac{4371}{100}.

$$\frac{4371}{100}-\frac{3}{50}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Least common multiple of 100 and 50 is 100. Convert \frac{4371}{100} and \frac{3}{50} to fractions with denominator 100.

$$\frac{4371}{100}-\frac{6}{100}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Since \frac{4371}{100} and \frac{6}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4371-6}{100}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Subtract 6 from 4371 to get 4365.

$$\frac{4365}{100}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Reduce the fraction \frac{4365}{100} to lowest terms by extracting and canceling out 5.

$$\frac{873}{20}+\frac{40\times 2}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Multiply 40 and 2 to get 80.

$$\frac{873}{20}+\frac{80}{1000}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

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

$$\frac{873}{20}+\frac{2}{25}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Least common multiple of 20 and 25 is 100. Convert \frac{873}{20} and \frac{2}{25} to fractions with denominator 100.

$$\frac{4365}{100}+\frac{8}{100}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Since \frac{4365}{100} and \frac{8}{100} have the same denominator, add them by adding their numerators.

$$\frac{4365+8}{100}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Add 4365 and 8 to get 4373.

$$\frac{4373}{100}+\frac{20\times 3}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Multiply 20 and 3 to get 60.

$$\frac{4373}{100}+\frac{60}{1000}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

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

$$\frac{4373}{100}+\frac{3}{50}\times 2-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

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

$$\frac{4373}{100}+\frac{3\times 2}{50}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Multiply 3 and 2 to get 6.

$$\frac{4373}{100}+\frac{6}{50}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Reduce the fraction \frac{6}{50} to lowest terms by extracting and canceling out 2.

$$\frac{4373}{100}+\frac{3}{25}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Least common multiple of 100 and 25 is 100. Convert \frac{4373}{100} and \frac{3}{25} to fractions with denominator 100.

$$\frac{4373}{100}+\frac{12}{100}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Since \frac{4373}{100} and \frac{12}{100} have the same denominator, add them by adding their numerators.

$$\frac{4373+12}{100}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Add 4373 and 12 to get 4385.

$$\frac{4385}{100}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Reduce the fraction \frac{4385}{100} to lowest terms by extracting and canceling out 5.

$$\frac{877}{20}-\frac{20\times 2}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Multiply 20 and 2 to get 40.

$$\frac{877}{20}-\frac{40}{1000}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

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

$$\frac{877}{20}-\frac{1}{25}\times 4-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

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

$$\frac{877}{20}-\frac{4}{25}-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Least common multiple of 20 and 25 is 100. Convert \frac{877}{20} and \frac{4}{25} to fractions with denominator 100.

$$\frac{4385}{100}-\frac{16}{100}-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Since \frac{4385}{100} and \frac{16}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4385-16}{100}-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Subtract 16 from 4385 to get 4369.

$$\frac{4369}{100}-\frac{20\times 3}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

Multiply 20 and 3 to get 60.

$$\frac{4369}{100}-\frac{60}{1000}\times 2+\frac{2\times 20}{1000}\times 2$$

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

$$\frac{4369}{100}-\frac{3}{50}\times 2+\frac{2\times 20}{1000}\times 2$$

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

$$\frac{4369}{100}-\frac{3\times 2}{50}+\frac{2\times 20}{1000}\times 2$$

Multiply 3 and 2 to get 6.

$$\frac{4369}{100}-\frac{6}{50}+\frac{2\times 20}{1000}\times 2$$

Reduce the fraction \frac{6}{50} to lowest terms by extracting and canceling out 2.

$$\frac{4369}{100}-\frac{3}{25}+\frac{2\times 20}{1000}\times 2$$

Least common multiple of 100 and 25 is 100. Convert \frac{4369}{100} and \frac{3}{25} to fractions with denominator 100.

$$\frac{4369}{100}-\frac{12}{100}+\frac{2\times 20}{1000}\times 2$$

Since \frac{4369}{100} and \frac{12}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4369-12}{100}+\frac{2\times 20}{1000}\times 2$$

Subtract 12 from 4369 to get 4357.

$$\frac{4357}{100}+\frac{2\times 20}{1000}\times 2$$

Multiply 2 and 20 to get 40.

$$\frac{4357}{100}+\frac{40}{1000}\times 2$$

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

$$\frac{4357}{100}+\frac{1}{25}\times 2$$

Multiply \frac{1}{25} and 2 to get \frac{2}{25}.

$$\frac{4357}{100}+\frac{2}{25}$$

Least common multiple of 100 and 25 is 100. Convert \frac{4357}{100} and \frac{2}{25} to fractions with denominator 100.

$$\frac{4357}{100}+\frac{8}{100}$$

Since \frac{4357}{100} and \frac{8}{100} have the same denominator, add them by adding their numerators.

$$\frac{4357+8}{100}$$

Add 4357 and 8 to get 4365.

$$\frac{4365}{100}$$

Reduce the fraction \frac{4365}{100} to lowest terms by extracting and canceling out 5.

$$\frac{873}{20}$$

Factor

$$\frac{97 \cdot 3 ^ {2}}{5 \cdot 2 ^ {2}} = 43\frac{13}{20} = 43.65$$