Solve 1/3:11/2-3

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

Evaluate

$$-\frac{25}{9}\approx -2.777777778$$

Solution Steps

Divide \frac{1}{3} by \frac{1\times 2+1}{2} by multiplying \frac{1}{3} by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{2}{3\left(1\times 2+1\right)}-3$$

Multiply 1 and 2 to get 2.

$$\frac{2}{3\left(2+1\right)}-3$$

Add 2 and 1 to get 3.

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

Multiply 3 and 3 to get 9.

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

Convert 3 to fraction \frac{27}{9}.

$$\frac{2}{9}-\frac{27}{9}$$

Since \frac{2}{9} and \frac{27}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-27}{9}$$

Subtract 27 from 2 to get -25.

$$-\frac{25}{9}$$

Factor

$$-\frac{25}{9} = -2\frac{7}{9} = -2.7777777777777777$$