Solve -17/3-2*-10/3

$$- \frac{ 17 }{ 3 } -2 \times - \frac{ 10 }{ 3 }$$

Evaluate

$$1$$

Solution Steps

Express 2\left(-\frac{10}{3}\right) as a single fraction.

$$-\frac{17}{3}-\frac{2\left(-10\right)}{3}$$

Multiply 2 and -10 to get -20.

$$-\frac{17}{3}-\frac{-20}{3}$$

Fraction \frac{-20}{3} can be rewritten as -\frac{20}{3} by extracting the negative sign.

$$-\frac{17}{3}-\left(-\frac{20}{3}\right)$$

The opposite of -\frac{20}{3} is \frac{20}{3}.

$$-\frac{17}{3}+\frac{20}{3}$$

Since -\frac{17}{3} and \frac{20}{3} have the same denominator, add them by adding their numerators.

$$\frac{-17+20}{3}$$

Add -17 and 20 to get 3.

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

Divide 3 by 3 to get 1.

$$1$$

Factor

$$1$$