Solve b/6-1/2+17/24

$$\frac { b } { 6 } - \frac { 1 } { 2 } + \frac { 17 } { 24 }$$

Evaluate

$$\frac{b}{6}+\frac{5}{24}$$

Solution Steps

Least common multiple of 2 and 24 is 24. Convert -\frac{1}{2} and \frac{17}{24} to fractions with denominator 24.

$$\frac{b}{6}-\frac{12}{24}+\frac{17}{24}$$

Since -\frac{12}{24} and \frac{17}{24} have the same denominator, add them by adding their numerators.

$$\frac{b}{6}+\frac{-12+17}{24}$$

Add -12 and 17 to get 5.

$$\frac{b}{6}+\frac{5}{24}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 24 is 24. Multiply \frac{b}{6} times \frac{4}{4}.

$$\frac{4b}{24}+\frac{5}{24}$$

Since \frac{4b}{24} and \frac{5}{24} have the same denominator, add them by adding their numerators.

$$\frac{4b+5}{24}$$

Factor

$$\frac{4b+5}{24}$$

Solution Steps

Factor out \frac{1}{24}.

$$\frac{4b+5}{24}$$

Consider 4b-12+17. Multiply and combine like terms.

$$4b+5$$

Rewrite the complete factored expression.

$$\frac{4b+5}{24}$$