Solve -31/7-23/4

$$- 3 \frac { 1 } { 7 } - 2 \frac { 3 } { 4 }$$

Evaluate

$$-\frac{165}{28}\approx -5.892857143$$

Solution Steps

Multiply 3 and 7 to get 21.

$$-\frac{21+1}{7}-\frac{2\times 4+3}{4}$$

Add 21 and 1 to get 22.

$$-\frac{22}{7}-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$-\frac{22}{7}-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$-\frac{22}{7}-\frac{11}{4}$$

Least common multiple of 7 and 4 is 28. Convert -\frac{22}{7} and \frac{11}{4} to fractions with denominator 28.

$$-\frac{88}{28}-\frac{77}{28}$$

Since -\frac{88}{28} and \frac{77}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-88-77}{28}$$

Subtract 77 from -88 to get -165.

$$-\frac{165}{28}$$

Factor

$$-\frac{165}{28} = -5\frac{25}{28} = -5.892857142857143$$