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

$6\times\frac{1}{5}=\frac{6}{5}$

Using the following property of the fractions:

$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$

Therefore:

$\begin{gathered} \frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{1+1+1+1+1+1}{5}=\frac{6}{5} \\ so\colon \\ 6\times\frac{1}{5}\equiv\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5} \end{gathered}$