Multiple Choice Question Determine the Common Denominator Flnd equivalent fractions with a common denominator for \( \frac{3}{4} \) and \( \frac{2}{3} \). ? \( \frac{6}{12} \) and \( \frac{4}{12} \) \( \frac{3}{12} \) and \( \frac{2}{12} \) O \( \frac{9}{12} \) and \( \frac{8}{12} \) D and \( \frac{8}{16} \)

To find equivalent fractions for \( \frac{3}{4} \) and \( \frac{2}{3} \), we first need to identify a common denominator. The least common multiple (LCM) of 4 and 3 is 12. Thus, we can convert both fractions: - \( \frac{3}{4} \) can be expressed as \( \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \). - \( \frac{2}{3} \) converts to \( \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \). So the equivalent fractions are \( \frac{9}{12} \) and \( \frac{8}{12} \). Embarking on the journey of fractions can feel like a wild ride! The next time you’re faced with finding common denominators, just remember that it’s all about the least common multiple—it’ll help you avoid the tangled mess of numbers. And hey, who doesn’t love turning fractions into equivalent ones? It’s like dressing them up to go out! Fractions are everywhere in the real world, from baking recipes to construction projects. So when you grasp the concept of finding common denominators, you’re not just solving math problems—you’re unlocking doors to practical, everyday applications! Whether it’s sharing a pizza or mixing paints, understanding fractions will elevate your skills to a whole new level!