To simplify the expression \( 16 \frac{1}{4} \), it's useful to first convert the mixed number into an improper fraction. The mixed number \( 16 \frac{1}{4} \) can be expressed as follows:
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Multiply the whole number part (16) by the denominator (4): \[ 16 \times 4 = 64 \]
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Add the numerator (1): \[ 64 + 1 = 65 \]
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Since the denominator is 4, you can write the mixed number as: \[ 16 \frac{1}{4} = \frac{65}{4} \]
Now, if you want to simplify \( \frac{65}{4} \), note that it is already in its simplest form because 65 and 4 have no common factors other than 1.
If you're asking about factors of the number 16 that could help in simplification, factors of 16 are 1, 2, 4, 8, and 16. However, since \( \frac{65}{4} \) has no factors in common with 4, we cannot further simplify the expression.
Thus, the final answer is: \[ 16 \frac{1}{4} = \frac{65}{4} \] (in simplest form).
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