Need to read: A1
A fraction is a piece of a whole number. For example, a half is a part of a whole where you need two parts to make 1. A third (1/3) is a piece where you need three to make a whole. A fourth (1/4) is a piece where need four to make a whole. And these go on and on for ever, getting slightly smaller each time. So at a point, will it ever be equal to 0. It will equal 0 when you need an infinite (meaning never ending) amount of parts, but in practice , its undefined. There is also fractions where the top number is larger than the bottom. Those are improper. Some examples are 6/3 (2) 13/4 (3 and a 1/4) and 92/10 (9 and a 1/5)
Fractions aren't the only way to show about parts of wholes. So, to show a half of a whole, you use 0.5. A third, you use 0.33333... repeating. A fourth, 0.25, a fifth, 0.2, sixth 0.166666... repeating, and so on and so on. You can also use decimals using whole numbers. For example, 3.25 represents 3 and a 1/4, 5.166666... repeating represents 5 and a 1/6
Now, that we now that we can make new numbers using parts of wholes, what if we want to refer to a number that doesn't cleanly fit into a ratio (how many times one number contains another (like 2:3 or 7/2)), like the ratio of a circles diameter to its circumference. Those are irrational numbers.