Magic Fractions

Let's call a fraction magic if both its numerator and denominator are less than 10. For example, the fraction `1/9` is considered magic, the fraction `6/8` is also magic, but the fraction `3/14` is not magic.
How many magic fractions are there that are greater than one-half and less than 1?

Note: For the purpose of this question, `2/3` and `4/6` are considered different fractions.