12. \( \frac{6}{9}-\frac{6}{15}= \)

To solve \( \frac{6}{9}-\frac{6}{15} \), first, we need a common denominator. The least common multiple of 9 and 15 is 45. Now rewrite the fractions: \( \frac{6}{9} = \frac{6 \times 5}{9 \times 5} = \frac{30}{45} \) and \( \frac{6}{15} = \frac{6 \times 3}{15 \times 3} = \frac{18}{45} \). Now we can subtract: \( \frac{30}{45} - \frac{18}{45} = \frac{30 - 18}{45} = \frac{12}{45} \). Now simplify \( \frac{12}{45} \) by dividing both the numerator and the denominator by 3: \( \frac{12 \div 3}{45 \div 3} = \frac{4}{15} \). So, \( \frac{6}{9}-\frac{6}{15} = \frac{4}{15} \). This isn't just math; it's like piecing together a puzzle! If you love seeing how numbers fit together, imagine solving for unknown x's like a detective cracking a case. Math gives you tools to tackle everyday problems, whether budgeting or calculating time for a project. Want to dive deeper? There are numerous resources available, from online math courses to YouTube tutorials, that break down these concepts with engaging examples! They'll turn you into a math whiz before you know it!