Solve 1/6--3/8=

$$\frac { 1 } { 6 } - \frac { - 3 } { 8 } =$$

Evaluate

$$\frac{13}{24}\approx 0.541666667$$

Solution Steps

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$\frac{1}{6}-\left(-\frac{3}{8}\right)$$

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

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

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

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

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

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

Add 4 and 9 to get 13.

$$\frac{13}{24}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3} = 0.5416666666666666$$