AI Tutor
If a tiny ladybug crawls past 0 inches on a ruler and stops right between whole numbers, how do you name its exact spot?
Just like a ruler, a number line measures length. The distance from 0 to 1 is called the unit interval.
The denominator tells you how many equal segments split each whole unit, while the numerator counts how many of those steps you move from 0.
What is the single most common mistake students make when placing fractions on a number line?

Counting Jumps, Not Ticks

Many people mistakenly count the vertical tick lines instead of the intervals, which are the actual spaces between the lines.
To divide 0 to 1 into 4 equal parts, you only draw 3 tick marks inside the unit, creating 4 equal spaces of size 14\frac{1}{4}.
What happens when your fraction has a numerator larger than its denominator?

Fractions Beyond One

When a fraction has a numerator larger than the denominator, such as 54\frac{5}{4}, you simply keep making equal hops past the whole number 1.
Since 44\frac{4}{4} equals one full unit, 54\frac{5}{4} is located exactly 1 whole step plus one more 14\frac{1}{4} hop to the right, which is the mixed number 1141\frac{1}{4}.