Solve 75div6*9-3+4%6=

$$75 \div 6 \times 9-3+4 \% 6=$$

Evaluate

$$\frac{5487}{50}=109.74$$

Solution Steps

Reduce the fraction \frac{75}{6} to lowest terms by extracting and canceling out 3.

$$\frac{25}{2}\times 9-3+\frac{4}{100}\times 6$$

Express \frac{25}{2}\times 9 as a single fraction.

$$\frac{25\times 9}{2}-3+\frac{4}{100}\times 6$$

Multiply 25 and 9 to get 225.

$$\frac{225}{2}-3+\frac{4}{100}\times 6$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{225}{2}-\frac{6}{2}+\frac{4}{100}\times 6$$

Since \frac{225}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{225-6}{2}+\frac{4}{100}\times 6$$

Subtract 6 from 225 to get 219.

$$\frac{219}{2}+\frac{4}{100}\times 6$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{219}{2}+\frac{1}{25}\times 6$$

Multiply \frac{1}{25} and 6 to get \frac{6}{25}.

$$\frac{219}{2}+\frac{6}{25}$$

Least common multiple of 2 and 25 is 50. Convert \frac{219}{2} and \frac{6}{25} to fractions with denominator 50.

$$\frac{5475}{50}+\frac{12}{50}$$

Since \frac{5475}{50} and \frac{12}{50} have the same denominator, add them by adding their numerators.

$$\frac{5475+12}{50}$$

Add 5475 and 12 to get 5487.

$$\frac{5487}{50}$$

Factor

$$\frac{3 \cdot 31 \cdot 59}{2 \cdot 5 ^ {2}} = 109\frac{37}{50} = 109.74$$