What is 0.7333333 as a fraction in simplest form?

Answer 1

Ooh, these ones can be fun! I presume you're actually asking about 0.7333333... with the threes going on forever. So, to figure out what that is as a fraction, we have to get rid of the repeating numbers. But this is not hard. All we have to do is multiply our original numbers by powers of 10. For instance, multiply it by 10, and you get 7.333... Multiply it by 100, and you get 73.333... Now it's a simple case of subtraction. 100-10=90, and 73.333...-7.333...=66. Turning this into algebra, that means that 90x=66. (We can do this if we treat x as that elusive fraction we're looking for.) Dividing both sides by 90, we get x=66/90. Six divides out of both 66 and 90, so it reduces to 11/15, which is your simplest form fraction. (To confirm this, you can enter 11 divided by 15 in a calculator.)