Solve -43/8-21/6

$$- 4 \frac { 3 } { 8 } - 2 \frac { 1 } { 6 }$$

Evaluate

$$-\frac{157}{24}\approx -6.541666667$$

Solution Steps

Multiply 4 and 8 to get 32.

$$-\frac{32+3}{8}-\frac{2\times 6+1}{6}$$

Add 32 and 3 to get 35.

$$-\frac{35}{8}-\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$-\frac{35}{8}-\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$-\frac{35}{8}-\frac{13}{6}$$

Least common multiple of 8 and 6 is 24. Convert -\frac{35}{8} and \frac{13}{6} to fractions with denominator 24.

$$-\frac{105}{24}-\frac{52}{24}$$

Since -\frac{105}{24} and \frac{52}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-105-52}{24}$$

Subtract 52 from -105 to get -157.

$$-\frac{157}{24}$$

Factor

$$-\frac{157}{24} = -6\frac{13}{24} = -6.541666666666667$$