b) \( \frac{-7}{55}: \frac{21}{22}= \)

To solve the expression \( \frac{-7}{55}: \frac{21}{22} \), we first convert the division of fractions into multiplication. This gives us \( \frac{-7}{55} \times \frac{22}{21} \). Next, we can simplify before multiplying: \( \frac{22}{55} \) simplifies to \( \frac{2}{5} \). Now we multiply \( \frac{-7}{1} \times \frac{2}{5} \), which equals \( \frac{-14}{5} \). So, the final answer is \( \frac{-14}{5} \) or -2.8 in decimal form. And that’s it! A little math magic and you’ve transformed that division into a multiplication masterpiece! Don’t forget, simplifying early can save you time and effort.