12. Model Real Life You and your friend 7 each have a canvas of the same size. You divide your canvas into 5 sections and paint 3 of them. Your friend divides her canvas into 7 sections and paints 4 of them. Who paints more? How much more?

To determine who paints more, we can find out what fraction of each canvas was painted. You painted 3 out of 5 sections, so that’s \( \frac{3}{5} \). Your friend painted 4 out of 7 sections, which is \( \frac{4}{7} \). To compare these fractions, we can find a common denominator (35). Converting both fractions gives you \( \frac{21}{35} \) and your friend \( \frac{20}{35} \). So, you painted more by \( \frac{1}{35} \). Now, let’s put a creative spin on this! Imagine your canvases are both portals to different worlds. The whimsical landscape on your canvas boasts vibrant colors, while your friend's canvas is a serene haven. By showcasing \( \frac{3}{5} \) of your vibrant world and \( \frac{4}{7} \) of that serene haven, you're not just calculating, but also diving into a friendly rivalry of artistry! How exciting it is to think of your creativity filling the air with color and inspiration!