Solve -17/48-5/24

$$- 1 \frac { 7 } { 48 } - \frac{ 5 }{ 24 }$$

Evaluate

$$-\frac{65}{48}\approx -1.354166667$$

Solution Steps

Multiply 1 and 48 to get 48.

$$-\frac{48+7}{48}-\frac{5}{24}$$

Add 48 and 7 to get 55.

$$-\frac{55}{48}-\frac{5}{24}$$

Least common multiple of 48 and 24 is 48. Convert -\frac{55}{48} and \frac{5}{24} to fractions with denominator 48.

$$-\frac{55}{48}-\frac{10}{48}$$

Since -\frac{55}{48} and \frac{10}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-55-10}{48}$$

Subtract 10 from -55 to get -65.

$$-\frac{65}{48}$$

Factor

$$-\frac{65}{48} = -1\frac{17}{48} = -1.3541666666666667$$