Solve 1/6-(-3/8)+1/2

$$\frac { 1 } { 6 } - ( - \frac { 3 } { 8 } ) + \frac { 1 } { 2 }$$

Evaluate

$$\frac{25}{24}\approx 1.041666667$$

Solution Steps

The opposite of -\frac{3}{8} is \frac{3}{8}.

$$\frac{1}{6}+\frac{3}{8}+\frac{1}{2}$$

Least common multiple of 6 and 8 is 24. Convert \frac{1}{6} and \frac{3}{8} to fractions with denominator 24.

$$\frac{4}{24}+\frac{9}{24}+\frac{1}{2}$$

Since \frac{4}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

$$\frac{4+9}{24}+\frac{1}{2}$$

Add 4 and 9 to get 13.

$$\frac{13}{24}+\frac{1}{2}$$

Least common multiple of 24 and 2 is 24. Convert \frac{13}{24} and \frac{1}{2} to fractions with denominator 24.

$$\frac{13}{24}+\frac{12}{24}$$

Since \frac{13}{24} and \frac{12}{24} have the same denominator, add them by adding their numerators.

$$\frac{13+12}{24}$$

Add 13 and 12 to get 25.

$$\frac{25}{24}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1.0416666666666667$$