Solve -23/7-12/3

$$- 2 \frac { 3 } { 7 } - 1 \frac { 2 } { 3 }$$

Evaluate

$$-\frac{86}{21}\approx -4.095238095$$

Solution Steps

Multiply 2 and 7 to get 14.

$$-\frac{14+3}{7}-\frac{1\times 3+2}{3}$$

Add 14 and 3 to get 17.

$$-\frac{17}{7}-\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$-\frac{17}{7}-\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$-\frac{17}{7}-\frac{5}{3}$$

Least common multiple of 7 and 3 is 21. Convert -\frac{17}{7} and \frac{5}{3} to fractions with denominator 21.

$$-\frac{51}{21}-\frac{35}{21}$$

Since -\frac{51}{21} and \frac{35}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-51-35}{21}$$

Subtract 35 from -51 to get -86.

$$-\frac{86}{21}$$

Factor

$$-\frac{86}{21} = -4\frac{2}{21} = -4.095238095238095$$