Write \( \frac{51}{6} \) as a mixed number.

To convert \( \frac{51}{6} \) into a mixed number, divide the numerator (51) by the denominator (6). When you do this, you get 8 as the whole number part (since 6 goes into 51 a total of 8 times) with a remainder of 3. So, you can express it as \( 8 \frac{3}{6} \). However, since \( \frac{3}{6} \) can be simplified to \( \frac{1}{2} \), the final mixed number is \( 8 \frac{1}{2} \). Isn't it neat how fractions can be transformed? You start with these seemingly complex numbers and end up with an easy-to-understand mixed number! It’s like turning a puzzle into a pretty picture.