Question

Write the following decimal number in its equivalent fraction form.

-0.6 (The 6 has a line on top of it)

Answer 1

-0.6666.... = -
`(2)/(3)`

Explanation:

Repeating decimals can be written as either 0.6666..., or as 0.6 with a small line over the top of the 6 to indicate it repeats. Repeating fractions are not put into fractions in the traditional way. If we had the terminating decimal 0.4, then we know to put the 4 over 10 and reduce:

`(4)/(10)=(2)/(5)`

However, with repeating decimals, instead of putting the number of the decimal over a value of 10, we put it over a value of 9. So, for the equivalent fraction form of -0.6 (repeating) we would get:

`(6)/(9)=-(2)/(3)`