Solve 52/3-10/3

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

Evaluate

$$-\frac{13}{9}\approx -1.444444444$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{\frac{15+2}{3}-10}{3}$$

Add 15 and 2 to get 17.

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

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

$$\frac{\frac{17}{3}-\frac{30}{3}}{3}$$

Since \frac{17}{3} and \frac{30}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{17-30}{3}}{3}$$

Subtract 30 from 17 to get -13.

$$\frac{-\frac{13}{3}}{3}$$

Express \frac{-\frac{13}{3}}{3} as a single fraction.

$$\frac{-13}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{-13}{9}$$

Fraction \frac{-13}{9} can be rewritten as -\frac{13}{9} by extracting the negative sign.

$$-\frac{13}{9}$$

Factor

$$-\frac{13}{9} = -1\frac{4}{9} = -1.4444444444444444$$