Solve 6:2/3-51/2

$$6 : \frac { 2 } { 3 } - 5 \frac { 1 } { 2 }$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Divide 6 by \frac{2}{3} by multiplying 6 by the reciprocal of \frac{2}{3}.

$$6\times \frac{3}{2}-\frac{5\times 2+1}{2}$$

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

$$\frac{6\times 3}{2}-\frac{5\times 2+1}{2}$$

Multiply 6 and 3 to get 18.

$$\frac{18}{2}-\frac{5\times 2+1}{2}$$

Divide 18 by 2 to get 9.

$$9-\frac{5\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$9-\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$9-\frac{11}{2}$$

Convert 9 to fraction \frac{18}{2}.

$$\frac{18}{2}-\frac{11}{2}$$

Since \frac{18}{2} and \frac{11}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-11}{2}$$

Subtract 11 from 18 to get 7.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$