Solve 7/3(-3)-5/12

$$\frac{ 7 }{ 3 } (-3)- \frac{ 5 }{ 12 }$$

Evaluate

$$-\frac{89}{12}\approx -7.416666667$$

Solution Steps

Express \frac{7}{3}\left(-3\right) as a single fraction.

$$\frac{7\left(-3\right)}{3}-\frac{5}{12}$$

Multiply 7 and -3 to get -21.

$$\frac{-21}{3}-\frac{5}{12}$$

Divide -21 by 3 to get -7.

$$-7-\frac{5}{12}$$

Convert -7 to fraction -\frac{84}{12}.

$$-\frac{84}{12}-\frac{5}{12}$$

Since -\frac{84}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-84-5}{12}$$

Subtract 5 from -84 to get -89.

$$-\frac{89}{12}$$

Factor

$$-\frac{89}{12} = -7\frac{5}{12} = -7.416666666666667$$