To solve \( \frac{5}{8} - \frac{7}{12} \), we first need to find a common denominator for the two fractions. The denominators are 8 and 12. The least common multiple (LCM) of 8 and 12 is 24.
Next, we will convert each fraction to have a denominator of 24:
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For \( \frac{5}{8} \): \[ \frac{5}{8} = \frac{5 \times 3}{8 \times 3} = \frac{15}{24} \]
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For \( \frac{7}{12} \): \[ \frac{7}{12} = \frac{7 \times 2}{12 \times 2} = \frac{14}{24} \]
Now we can subtract the two fractions: \[ \frac{15}{24} - \frac{14}{24} = \frac{15 - 14}{24} = \frac{1}{24} \]
So, the result of \( \frac{5}{8} - \frac{7}{12} \) is \( \frac{1}{24} \).
To summarize:
- The answer to \( \frac{5}{8} - \frac{7}{12} \) is \( \frac{1}{24} \).