\( 5-\frac{1}{2}=\ldots \ldots \ldots \) \( \begin{array}{llll}\text { a. } 4 \frac{1}{2} & \text { b. } \frac{5}{2} & \text { c. } 5 & \text { d. } 4\end{array} \)

To solve \( 5 - \frac{1}{2} \), we need to convert 5 into a fraction with the same denominator as \(\frac{1}{2}\). This means we can write 5 as \(\frac{10}{2}\). Now, we can perform the subtraction: \[ \frac{10}{2} - \frac{1}{2} = \frac{10 - 1}{2} = \frac{9}{2} \] This simplifies to 4.5, which can also be expressed as \( 4 \frac{1}{2} \). Thus, the answer is: \( \boxed{a} \) \( 4 \frac{1}{2} \) Now, let's sprout some knowledge! Did you know that fractions have been used since ancient times? The Egyptians utilized fractions around 3000 BC, using a base-10 system that allowed them to handle everyday measurements and trade. These ancient calculations paved the way for modern arithmetic! Speaking of fractions, they are super handy in cooking! If you're halving a recipe and encounter \( \frac{1}{2} \) cups of sugar, subtracting another \( \frac{1}{2} \) helps you gauge just how much you'll need. It's like cooking math magic — a sprinkle here and a dash there lead to delicious outcomes!