Solve -38/9-41/12

$$-3 \frac{ 8 }{ 9 } -4 \frac{ 1 }{ 12 }$$

Evaluate

$$-\frac{287}{36}\approx -7.972222222$$

Solution Steps

Multiply 3 and 9 to get 27.

$$-\frac{27+8}{9}-\frac{4\times 12+1}{12}$$

Add 27 and 8 to get 35.

$$-\frac{35}{9}-\frac{4\times 12+1}{12}$$

Multiply 4 and 12 to get 48.

$$-\frac{35}{9}-\frac{48+1}{12}$$

Add 48 and 1 to get 49.

$$-\frac{35}{9}-\frac{49}{12}$$

Least common multiple of 9 and 12 is 36. Convert -\frac{35}{9} and \frac{49}{12} to fractions with denominator 36.

$$-\frac{140}{36}-\frac{147}{36}$$

Since -\frac{140}{36} and \frac{147}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-140-147}{36}$$

Subtract 147 from -140 to get -287.

$$-\frac{287}{36}$$

Factor

$$-\frac{287}{36} = -7\frac{35}{36} = -7.972222222222222$$