Question

Are you able to find the decimal form of 1/6 by writing it as an equivalent fraction with only 2 or 5 as the denominator explain why it why not ( I will mark brainlyest)

Answer 1

We have to find if it is possible to write 1/6 as a fraction with only 2 or 5 as the denominator.

This means a fraction like x/2 or y/5 that is equivalent to 1/6.

We can write:

$\begin{gathered} \frac{1}{6}=\frac{x}{2} \\ x=\frac{2}{6}=\frac{1}{3} \end{gathered}$

For the number 5 as denominator, we can write:

$\begin{gathered} \frac{y}{5}=\frac{1}{6} \\ y=\frac{5}{6} \end{gathered}$

Both x and y are not integers, but rational numbers, so we can not express 1/6 as a fraction with denominator 2 or 5.

Answer: No, as there is no integer to write in the numerator to make it equivalent to 1/6.