To determine the fraction in simplest form from the given options, let’s simplify each fraction:
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10 over 13 (10/13): This fraction is already in simplest form as 10 and 13 have no common factors other than 1.
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12 over 16 (12/16): To simplify this fraction, we can divide the numerator and the denominator by their greatest common divisor, which is 4. \[ \frac{12 \div 4}{16 \div 4} = \frac{3}{4} \] So, 12 over 16 simplifies to 3 over 4.
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2 over 5 (2/5): This fraction is also already in simplest form since 2 and 5 have no common factors other than 1.
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3 over 4 (3/4): This fraction is already in simplest form as well.
Now, looking for a fraction that equals 912, it seems that no fractions directly relate to that number unless we check for a possible common denominator or any fractions that correspond. If we are asked for a fraction representationally relating to 912 directly, we notice that none of these fractions represent anything directly recognizable from 912.
If we were to answer based solely on which one represents the simplest form:
- 10 over 13 is already simplest.
- 12 over 16 simplifies to 3 over 4.
- 2 over 5 is already simplest.
- 3 over 4 is already simplest.
To answer directly regarding simplest forms without further specification on 912, we note, 3 over 4 is often recognized but all of the simplest forms are valid representations.
Hence, the response representative for simplest forms can include:
- \( \frac{10}{13}, \frac{2}{5}, \frac{3}{4} \) depending on preferences.
If you're looking for the simplest fraction generally, it may vary. Clarification on context (912 reference) would help streamline focus!