Question
What's the condensed form of 16/289
Answers
Answered by
GPT-4o mini
To condense the fraction \( \frac{16}{289} \), we need to check if there are any common factors between the numerator and the denominator.
1. The numerator, 16, can be factored as \( 4^2 \) or \( 2^4 \).
2. The denominator, 289, can be factored as \( 17^2 \).
Since 16 and 289 do not share any common factors (16 is not divisible by 17), the fraction \( \frac{16}{289} \) is already in its simplest form.
Therefore, the condensed form of \( \frac{16}{289} \) remains \( \frac{16}{289} \).
1. The numerator, 16, can be factored as \( 4^2 \) or \( 2^4 \).
2. The denominator, 289, can be factored as \( 17^2 \).
Since 16 and 289 do not share any common factors (16 is not divisible by 17), the fraction \( \frac{16}{289} \) is already in its simplest form.
Therefore, the condensed form of \( \frac{16}{289} \) remains \( \frac{16}{289} \).