Fill in the missing sign:
Fill in the missing sign:
To solve this problem, we will compare the fractions and by converting them to have a common denominator.
Step 1: Find the least common multiple (LCM) of the denominators 7 and 8. Since 7 and 8 are coprime (have no common factors other than 1), the LCM is simply the product of the two numbers:
Step 2: Convert each fraction to an equivalent fraction with the common denominator of 56.
Convert :
Convert :
Step 3: Compare the new numerators:
Since 24 > 7, we conclude that \frac{24}{56} > \frac{7}{56}.
Therefore, the original inequality we are solving is:
\frac{3}{7} > \frac{1}{8}
Thus, the correct sign to fill in the blank is \bm{>}.
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