To convert the mixed number \( 4 \frac{26}{6} \) into an improper fraction, you first multiply the whole number (4) by the denominator (6) and then add the numerator (26).
Here are the steps:
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Multiply the whole number by the denominator: \( 4 \times 6 = 24 \).
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Add the numerator to that result: \( 24 + 26 = 50 \).
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The result is then written over the original denominator: \( \frac{50}{6} \).
So, \( 4 \frac{26}{6} \) as an improper fraction is \( \frac{50}{6} \).
From your provided options, it seems that there's a possibility of confusion. However, if we were to express the answer as \( 4 \frac{2}{3} \) as a mixed number, \( 2 \) is common in a simplified \( \frac{26}{6} \) and can be expressed as \( \frac{50}{6} \) or the simplest form \( \frac{25}{3} \).
Therefore, the correct answer is not vividly present in your options, but it seems that \( \frac{50}{6} \) would be the closest match if written improperly based on your exact mixed number.
Please clarify your question or the context of the options if necessary!
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