Solve 5*2/3-10/3

$$\frac{ 5 \times \frac{ 2 }{ 3 } -10 }{ 3 }$$

Evaluate

$$-\frac{20}{9}\approx -2.222222222$$

Solution Steps

Express 5\times \frac{2}{3} as a single fraction.

$$\frac{\frac{5\times 2}{3}-10}{3}$$

Multiply 5 and 2 to get 10.

$$\frac{\frac{10}{3}-10}{3}$$

Convert 10 to fraction \frac{30}{3}.

$$\frac{\frac{10}{3}-\frac{30}{3}}{3}$$

Since \frac{10}{3} and \frac{30}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{10-30}{3}}{3}$$

Subtract 30 from 10 to get -20.

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

Express \frac{-\frac{20}{3}}{3} as a single fraction.

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

Multiply 3 and 3 to get 9.

$$\frac{-20}{9}$$

Fraction \frac{-20}{9} can be rewritten as -\frac{20}{9} by extracting the negative sign.

$$-\frac{20}{9}$$

Factor

$$-\frac{20}{9} = -2\frac{2}{9} = -2.2222222222222223$$