1. Write the equivalent fractions of the following. **a)** Given fractions: $\frac{5}{20}, \frac{7}{12}, \frac{7}{16}, \frac{6}{4}, \frac{6}{8}$ - These fractions are not equivalent because their simplified forms differ. - Simplify each: - $\frac{5}{20} = \frac{1}{4}$ - $\frac{7}{12}$ (already simplified) - $\frac{7}{16}$ (already simplified) - $\frac{6}{4} = \frac{3}{2}$ - $\frac{6}{8} = \frac{3}{4}$ - Since simplified forms differ, no equivalent fractions here. **b)** Given: $\frac{6}{72}, \frac{7}{24}, \frac{4}{-}, \frac{5}{-}, \frac{1}{-}, 36$ - $\frac{6}{72} = \frac{1}{12}$ - $\frac{7}{24}$ (already simplified) - The fractions with missing denominators cannot be determined. - $36$ is a whole number, not a fraction. **c)** Given: $\frac{4}{6}, \frac{9}{-}, \frac{15}{-}, \frac{2}{-}, \frac{8}{-}, \frac{14}{-}, 18$ - $\frac{4}{6} = \frac{2}{3}$ - Others missing denominators, cannot determine equivalence. **d)** Given: $\frac{18}{22}, \frac{33}{-}, \frac{44}{-}, \frac{11}{-}, \frac{54}{-}, \frac{45}{-}, \frac{63}{-}$ - $\frac{18}{22} = \frac{9}{11}$ - Others missing denominators, cannot determine equivalence. **e)** Given: $\frac{35}{63}, \frac{18}{-}, \frac{9}{-}, \frac{25}{-}, \frac{36}{-}, \frac{15}{-}, \frac{30}{-}$ - $\frac{35}{63} = \frac{5}{9}$ - Others missing denominators, cannot determine equivalence. 2. Express the fractions in simplest form. **a)** $\frac{49}{70}$ - GCD of 49 and 70 is 7 - Simplify: $\frac{49 \div 7}{70 \div 7} = \frac{7}{10}$ **b)** $\frac{56}{63}$ - GCD of 56 and 63 is 7 - Simplify: $\frac{56 \div 7}{63 \div 7} = \frac{8}{9}$ **c)** $\frac{66}{72}$ - GCD of 66 and 72 is 6 - Simplify: $\frac{66 \div 6}{72 \div 6} = \frac{11}{12}$ **d)** $\frac{35}{49}$ - GCD of 35 and 49 is 7 - Simplify: $\frac{35 \div 7}{49 \div 7} = \frac{5}{7}$ **e)** $\frac{24}{88}$ - GCD of 24 and 88 is 8 - Simplify: $\frac{24 \div 8}{88 \div 8} = \frac{3}{11}$ **f)** $\frac{45}{55}$ - GCD of 45 and 55 is 5 - Simplify: $\frac{45 \div 5}{55 \div 5} = \frac{9}{11}$