To change a fraction into a decimal, sometimes you may be able to set up a proportion to get the fraction to a denominator of a multiple of 10. For example, 3/5 can be changed into 6/10, which is an equivalent fraction by a factor of 2. 6/10 is the same as 0.6.
Other times you will need to divide the numerator by the denominator to get a decimal. This way will work every time. If your fraction can not be equivalent to a denominator of 10, simply divide it. 5/8 can't evenly go into a denominator of 10 (without doing extra steps), so divide 5 by 8 to get 0.625.
To remember which number get divided, you can remember the shortcut in/out or you can note that a proper fraction will always be a number less than one.
To change a terminating decimal into a fraction, note the place value of the decimal and make that the denominator. Put the number that you see as the numerator. Then simplify
How do you know if a fraction is a repeating or terminating decimal?
If its denominator has a factor of 2 or 5, it will be a terminating decimal.
Video Links provide notes as well as example problems - Converting Decimals, Converting Fractions
Worksheet on Converting Fractions and Decimals (shown below)
Worksheet on Ordering Rational Numbers (linked and shown below)