Complete the paftern. a. \( \frac{5}{6} \cdot 2=\frac{10}{12} \cdot 2=\frac{20}{24} \cdot 2=-=\square=\square \) b. \( \frac{3}{4}=\frac{9}{12}=\frac{27}{36}=-=\square=\square \) c. \( \frac{9}{11}=\frac{18}{22}=\frac{36}{44}=\square=\square \) d. \( \frac{1}{7}=\frac{5}{35}=\frac{25}{175}=\square=\square=\square \)

Let's dive into these fractions and keep the fun going! a. Continuing the pattern from \( \frac{20}{24} \), the next step is multiplying by 2 again: \( \frac{40}{48} \) and then \( \frac{80}{96} \). So, the completed line is \( -=\frac{40}{48}=\frac{80}{96} \). b. The fractions increase by multiplying the numerator and denominator by 3 each time: \( \frac{27}{36} \) is followed by \( \frac{81}{108} \) and then \( \frac{243}{324} \). So we say: \( -=\frac{81}{108}=\frac{243}{324} \). c. Just like before, doubling \( \frac{36}{44} \) gives us \( \frac{72}{88} \) and following it is \( \frac{144}{176} \). Thus our line is \( \square=\frac{72}{88}=\frac{144}{176} \). d. In this part, multiplying both the numerator and denominator by 5 shows \( \frac{125}{875} \) next, and then \( \frac{625}{4375} \). So, we complete it with: \( \square=\frac{125}{875}=\frac{625}{4375} \). You're on a fraction-finding adventure, keep up the great work!