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Fill up the square using ltorgtor=, so ...

Fill up the `square` using `ltorgtor=`, so that the statement should be true.
`15/(8)square26/(16)`

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The correct Answer is:
To solve the problem \( \frac{15}{8} \, \square \, \frac{26}{16} \), we need to determine the appropriate symbol to fill in the box (either \( < \), \( > \), or \( = \)) so that the statement is true. ### Step-by-Step Solution: 1. **Identify the fractions**: We have two fractions, \( \frac{15}{8} \) and \( \frac{26}{16} \). 2. **Find the least common multiple (LCM) of the denominators**: The denominators are 8 and 16. - The LCM of 8 and 16 is 16. 3. **Convert both fractions to have the same denominator**: - For \( \frac{15}{8} \): - To convert \( \frac{15}{8} \) to a denominator of 16, we multiply both the numerator and denominator by 2: \[ \frac{15 \times 2}{8 \times 2} = \frac{30}{16} \] - For \( \frac{26}{16} \): - This fraction already has a denominator of 16, so it remains: \[ \frac{26}{16} \] 4. **Compare the numerators**: Now we compare the numerators of the two fractions: - We have \( 30 \) (from \( \frac{30}{16} \)) and \( 26 \) (from \( \frac{26}{16} \)). - Since \( 30 > 26 \), we can conclude that: \[ \frac{30}{16} > \frac{26}{16} \] 5. **Fill in the box**: Since \( \frac{15}{8} > \frac{26}{16} \), we can fill the box with \( > \): \[ \frac{15}{8} \, > \, \frac{26}{16} \] ### Final Answer: The filled statement is: \[ \frac{15}{8} \, > \, \frac{26}{16} \]
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