A drawing of a fraction answers one specific question, and not every drawing answers the same one. The number line places values like 7/4, which falls between 1 and 2, and lets you put them in order. Bars and circles show what part of a whole is taken. Pick the model in the table by what you want to know, and each row leads to the tool that draws it.
| I want to know | Drawing | Tool | Example |
|---|---|---|---|
| Where a fraction falls or which comes first | Number line | Fractions on a number line | 7/4 lies between 1 and 2 |
| What part of a whole it is | Bar or circle | Visual fraction models | 3/5 is 3 of 5 equal parts |
| Which of two fractions is larger | Two bars of the same length | The same whole when comparing | 1/2 > 1/3 |
| Whether two fractions have the same value | Fraction wall | The fraction wall | 1/2 = 2/4 = 4/8 |
| How many degrees a sector covers | Pie chart | From fraction to degrees | 1/4 of a circle = 90° |
Read the table from the first column: find the question you have and follow the row. The examples in the last column are checked with the same calculation engine the calculator uses, and each tool or guide has its own full example.
One value, two drawings
Worked example: 7/4 on the number line and in bars
You want to draw seven fourths of a bar. How many whole bars do you need, and what is left over?
- Divide the numerator by the denominator. 7 ÷ 4 = 1, with remainder 3.
- Read the result. One complete whole and 3/4 of another.
- Draw it with bars. One bar divided into 4 equal parts, all shaded, and a second identical bar with 3 parts shaded.
- Place it on the number line. Divide the stretch from 1 to 2 into four parts and mark the third tick after 1.
Result: 7/4 = 1 3/4, between 1 and 2.
Check. 1 × 4 + 3 = 7, so all seven fourth-sized parts are counted.
The two drawings show the same value from different angles. The number line sets the fraction beside other numbers and makes its order visible. Bars break it into parts you can count. To move from one drawing to the other, the improper fraction to mixed number conversion does step 1.
When a drawing misleads
A drawing is reliable when every whole is the same size and the parts of each whole are equal. If either condition fails, the bigger piece can belong to the smaller fraction.
When drawings are not enough, for example with 2/3 and 3/5, which are very close, compare with a common denominator: 2/3 = 10/15 and 3/5 = 9/15, so 2/3 is greater. The fraction comparison tool does it for you and shows the steps.
Where to go next
If you are starting from scratch, go first to how to draw fractions, which explains how to sketch them by hand before using a tool. If you already know how to draw and hesitate when comparing, the guide on benchmark fractions gives you three anchor points, 0, 1/2, and 1, to estimate without calculating. The rest of the tools and guides are in the calculator index.