Question

Why does it take 10 copies of 1 sixth to make the same amount as 5copies of 1third

Answer 1

`\bf \cfrac{1}{6}+\cfrac{1}{6}+\cfrac{1}{6}+\cfrac{1}{6}+\cfrac{1}{6}+\cfrac{1}{6}+\cfrac{1}{6}+\cfrac{1}{6}+\cfrac{1}{6}+\cfrac{1}{6}\implies \cfrac{10}{6}\implies \cfrac{\underline{2}\cdot 5}{\underline{2}\cdot 3}\implies \boxed{\cfrac{5}{3}}\\\\ -------------------------------\\\\ \cfrac{1}{3}+\cfrac{1}{3}+\cfrac{1}{3}+\cfrac{1}{3}+\cfrac{1}{3}\implies \boxed{\cfrac{5}{3}}`

one can also say that, 1/6 is really half of 1/3, and therefore, you need twice as many to equate it.