Solve 9+6*3-17%2div2+16%2*4div4+5

$$9+6 \times 3-17 \% 2 \div 2+16 \% 2 \times 4 \div 4+5$$

Evaluate

$$\frac{643}{20}=32.15$$

Solution Steps

Multiply 6 and 3 to get 18.

$$9+18-\frac{\frac{17}{100}\times 2}{2}+\frac{\frac{16}{100}\times 2\times 4}{4}+5$$

Add 9 and 18 to get 27.

$$27-\frac{\frac{17}{100}\times 2}{2}+\frac{\frac{16}{100}\times 2\times 4}{4}+5$$

Cancel out 2 and 2.

$$27-\frac{17}{100}+\frac{\frac{16}{100}\times 2\times 4}{4}+5$$

Convert 27 to fraction \frac{2700}{100}.

$$\frac{2700}{100}-\frac{17}{100}+\frac{\frac{16}{100}\times 2\times 4}{4}+5$$

Since \frac{2700}{100} and \frac{17}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2700-17}{100}+\frac{\frac{16}{100}\times 2\times 4}{4}+5$$

Subtract 17 from 2700 to get 2683.

$$\frac{2683}{100}+\frac{\frac{16}{100}\times 2\times 4}{4}+5$$

Cancel out 4 and 4.

$$\frac{2683}{100}+\frac{16}{100}\times 2+5$$

Cancel out 100, the greatest common factor in 2 and 100.

$$\frac{2683}{100}+\frac{16}{50}+5$$

Convert 5 to fraction \frac{500}{100}.

$$\frac{2683}{100}+\frac{16}{50}+\frac{500}{100}$$

Since \frac{2683}{100} and \frac{500}{100} have the same denominator, add them by adding their numerators.

$$\frac{2683+500}{100}+\frac{16}{50}$$

Add 2683 and 500 to get 3183.

$$\frac{3183}{100}+\frac{16}{50}$$

Reduce the fraction \frac{16}{50} to lowest terms by extracting and canceling out 2.

$$\frac{3183}{100}+\frac{8}{25}$$

Least common multiple of 100 and 25 is 100. Convert \frac{3183}{100} and \frac{8}{25} to fractions with denominator 100.

$$\frac{3183}{100}+\frac{32}{100}$$

Since \frac{3183}{100} and \frac{32}{100} have the same denominator, add them by adding their numerators.

$$\frac{3183+32}{100}$$

Add 3183 and 32 to get 3215.

$$\frac{3215}{100}$$

Reduce the fraction \frac{3215}{100} to lowest terms by extracting and canceling out 5.

$$\frac{643}{20}$$

Factor

$$\frac{643}{2 ^ {2} \cdot 5} = 32\frac{3}{20} = 32.15$$