Questions: 1/6 - (-5/8)

Transcript text: \[ \frac{1}{6}-\left(-\frac{5}{8}\right) \]

Solution

Step 1: Convert the subtraction of a negative fraction to addition

The expression becomes: $\frac{1}{6} + \frac{5}{8}$

Step 2: Find the least common denominator (LCD)

The LCD of 6 and 8 is 24.

Step 3: Convert each fraction to an equivalent fraction with the LCD

The fractions become $\frac{4}{24}$ and $\frac{15}{24}$.

Step 4: Add the numerators of the transformed fractions

The sum of the numerators is 19, so the combined fraction is $\frac{19}{24}$.

Step 5: Simplify the resulting fraction

The fraction cannot be simplified further.

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