Solve -1/3*1000+13/2*100-300

$$- \frac { 1 } { 3 } \times 1000 + \frac { 13 } { 2 } \times 100 - 300$$

Evaluate

$$\frac{50}{3}\approx 16.666666667$$

Solution Steps

Express -\frac{1}{3}\times 1000 as a single fraction.

$$\frac{-1000}{3}+\frac{13}{2}\times 100-300$$

Fraction \frac{-1000}{3} can be rewritten as -\frac{1000}{3} by extracting the negative sign.

$$-\frac{1000}{3}+\frac{13}{2}\times 100-300$$

Express \frac{13}{2}\times 100 as a single fraction.

$$-\frac{1000}{3}+\frac{13\times 100}{2}-300$$

Multiply 13 and 100 to get 1300.

$$-\frac{1000}{3}+\frac{1300}{2}-300$$

Divide 1300 by 2 to get 650.

$$-\frac{1000}{3}+650-300$$

Convert 650 to fraction \frac{1950}{3}.

$$-\frac{1000}{3}+\frac{1950}{3}-300$$

Since -\frac{1000}{3} and \frac{1950}{3} have the same denominator, add them by adding their numerators.

$$\frac{-1000+1950}{3}-300$$

Add -1000 and 1950 to get 950.

$$\frac{950}{3}-300$$

Convert 300 to fraction \frac{900}{3}.

$$\frac{950}{3}-\frac{900}{3}$$

Since \frac{950}{3} and \frac{900}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{950-900}{3}$$

Subtract 900 from 950 to get 50.

$$\frac{50}{3}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3} = 16\frac{2}{3} = 16.666666666666668$$