To convert 0.6 into a fraction, we need to remember the definition of a decimal. A decimal is a way of expressing a fraction with a power of 10 in the denominator. Therefore, we can write:

0.6 = 6/10

However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2 in this case. Doing so, we obtain:

0.6 = 6/10 = 3/5

Therefore, 0.6 can be written as the fraction 3/5.

We can also check our answer by converting the fraction back into a decimal. To do this, we simply divide the numerator by the denominator using long division or a calculator. In this case, we have:

3/5 = 0.6

**Therefore, 0.6 into a fraction = 3/5**

In conclusion, to convert a decimal into a fraction, we simply need to express the decimal as a fraction with a power of 10 in the denominator and then simplify the fraction if possible. In this case, 0.6 can be written as the fraction 3/5.