Solve 6*2/3+1/2-3/4div9

$$6 \times \frac { 2 } { 3 } + \frac { 1 } { 2 } - \frac { 3 } { 4 } \div 9$$

Evaluate

$$\frac{53}{12}\approx 4.416666667$$

Solution Steps

Express 6\times \frac{2}{3} as a single fraction.

$$\frac{6\times 2}{3}+\frac{1}{2}-\frac{\frac{3}{4}}{9}$$

Multiply 6 and 2 to get 12.

$$\frac{12}{3}+\frac{1}{2}-\frac{\frac{3}{4}}{9}$$

Divide 12 by 3 to get 4.

$$4+\frac{1}{2}-\frac{\frac{3}{4}}{9}$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{8}{2}+\frac{1}{2}-\frac{\frac{3}{4}}{9}$$

Since \frac{8}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{8+1}{2}-\frac{\frac{3}{4}}{9}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}-\frac{\frac{3}{4}}{9}$$

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

$$\frac{9}{2}-\frac{3}{4\times 9}$$

Multiply 4 and 9 to get 36.

$$\frac{9}{2}-\frac{3}{36}$$

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

$$\frac{9}{2}-\frac{1}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{9}{2} and \frac{1}{12} to fractions with denominator 12.

$$\frac{54}{12}-\frac{1}{12}$$

Since \frac{54}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54-1}{12}$$

Subtract 1 from 54 to get 53.

$$\frac{53}{12}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3} = 4\frac{5}{12} = 4.416666666666667$$