Answer: [tex]\bold{\dfrac{1}{4}\qquad and\qquad \dfrac{1}{9}}[/tex]
Step-by-step explanation:
[tex]\dfrac{5}{10}\times \dfrac{2}{4}\quad =\dfrac{5\times 2}{10\times 4}\quad =\dfrac{10}{40}\\\\\text{Simplify by dividing by the GCF of 10:} \quad \dfrac{10\div 10}{40\div 10} =\large\boxed{\dfrac{1}{4}}[/tex]
[tex]\dfrac{2}{3}\times \dfrac{2}{12}\quad =\dfrac{2\times 2}{3\times 12}\quad =\dfrac{4}{36}\\\\\text{Simplify by dividing by the GCF of 4:} \quad \dfrac{4\div 4}{36\div 4}=\large\boxed{\dfrac{1}{9}}[/tex]
