Solve -7/24-(+1/12)

$$- \frac{ 7 }{ 24 } -(+ \frac{ 1 }{ 12 } )$$

Evaluate

$$-\frac{3}{8}=-0.375$$

Solution Steps

Least common multiple of 24 and 12 is 24. Convert -\frac{7}{24} and \frac{1}{12} to fractions with denominator 24.

$$-\frac{7}{24}-\frac{2}{24}$$

Since -\frac{7}{24} and \frac{2}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-2}{24}$$

Subtract 2 from -7 to get -9.

$$\frac{-9}{24}$$

Reduce the fraction \frac{-9}{24} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{8}$$

Factor

$$-\frac{3}{8} = -0.375$$