Question

1. Which of the following is equivalent to the expression below? 6x O 1/6 + 1/6 + 1/6 + 1/6+ 1/6 O 6 1/5 O 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 01/30

Answer 1

`6*(1)/(5)=(6)/(5)`

Using the following property of the fractions:

`(a)/(b)+(c)/(b)=(a+c)/(b)`

Therefore:

`\begin{gathered} (1)/(5)+(1)/(5)+(1)/(5)+(1)/(5)+(1)/(5)+(1)/(5)=(1+1+1+1+1+1)/(5)=(6)/(5) \\ so\colon \\ 6*(1)/(5)\equiv(1)/(5)+(1)/(5)+(1)/(5)+(1)/(5)+(1)/(5)+(1)/(5) \end{gathered}`