Solve 7+3/4div9-4/5

$$7+ \frac{ 3 }{ 4 } \div 9- \frac{ 4 }{ 5 }$$

Evaluate

$$\frac{377}{60}\approx 6.283333333$$

Solution Steps

Express \frac{\frac{3}{4}}{9} as a single fraction.

$$7+\frac{3}{4\times 9}-\frac{4}{5}$$

Multiply 4 and 9 to get 36.

$$7+\frac{3}{36}-\frac{4}{5}$$

Reduce the fraction \frac{3}{36} to lowest terms by extracting and canceling out 3.

$$7+\frac{1}{12}-\frac{4}{5}$$

Convert 7 to fraction \frac{84}{12}.

$$\frac{84}{12}+\frac{1}{12}-\frac{4}{5}$$

Since \frac{84}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$\frac{84+1}{12}-\frac{4}{5}$$

Add 84 and 1 to get 85.

$$\frac{85}{12}-\frac{4}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{85}{12} and \frac{4}{5} to fractions with denominator 60.

$$\frac{425}{60}-\frac{48}{60}$$

Since \frac{425}{60} and \frac{48}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{425-48}{60}$$

Subtract 48 from 425 to get 377.

$$\frac{377}{60}$$

Factor

$$\frac{13 \cdot 29}{2 ^ {2} \cdot 3 \cdot 5} = 6\frac{17}{60} = 6.283333333333333$$