(4) \( 6-3 \frac{1}{3}= \)

To solve \( 6 - 3 \frac{1}{3} \), first convert \( 3 \frac{1}{3} \) into an improper fraction. This means \( 3 \frac{1}{3} = \frac{10}{3} \). Now, when you subtract, it's like saying, "How many groups of thirds are in 6?" which is \( 6 = \frac{18}{3} \). So, \( 6 - 3 \frac{1}{3} = \frac{18}{3} - \frac{10}{3} = \frac{8}{3} \), or approximately \( 2 \frac{2}{3} \). For a little extra fun, did you know that fractions have been around for thousands of years? Ancient Egyptians used fractions in their building projects, and some of their mathematical texts include recipes for cooking that relied on fractional quantities! This ingenuity laid the groundwork for the fractions we use today! If you ever find fractions tricky, remember that visualizing them can help! Draw out circles or bars to represent the quantities you’re working with. Breaking it down into simpler parts or combining like terms can make things clearer and avoid common pitfalls, such as forgetting to find a common denominator when adding or subtracting!