A fraction has its own spot
A water tank has marks from empty to full. The water stops on one mark. That mark has an exact place.
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The rule
A number line shows numbers in order along a straight line.
A step runs from one whole number to the next. Cut each step into equal parts. Walk the parts from 0. Walk means move along the line, one part at a time.
Bottom number: how many parts in one step. Top number: how many parts to walk.
Step 1 of 4
- A line from 0 to 1.
- Cut it into 5 equal parts.
- Walk 3 parts from 0.
- The marker sits on 3/5.
The line continues after 1. A top bigger than the bottom lies after 1. This kind of fraction is an improper fraction.
Example
7/4: each step has 4 parts. Walk 7 parts, each 1/4.
Four parts reach 1. 7 − 4 = 3 parts go after 1.
So 7/4 is 1 and 3/4. This is a mixed fraction: a whole number plus a fraction.