In a fraction, the bottom number counts the equal parts you cut the whole into, and the top number counts the ones you shade: 2/7 is two of seven. To draw it, sketch any whole, split it into seven pieces of the same size, and shade two of them. The hard part is making the parts equal in the thing you are measuring, whether that is length in a bar, area in a rectangle, angle in a circle, or number of objects in a set. To see it drawn on screen, use the fraction visualizer; this guide explains how to choose the model and check it by hand.
Choose the drawing by what you want to measure
The question decides the model. If you are talking about a ribbon, use a bar; about a surface, a rectangle; about counters, a set. The circle is for portions of a disc, like a pizza or a clock.
| What you measure | Model | How it is split |
|---|---|---|
| Length | Bar | Sections of the same length |
| Surface | Rectangle or grid | Strips or boxes of the same area |
| Portion of a disc | Circle | Sectors with the same angle |
| Number of objects | Set | Piles with the same number of objects |
| Position, including negative | Number line | Equal intervals between whole numbers |
The bar is the easiest to draw with a ruler and is usually the most practical with large denominators. The number line is the one that allows negative numbers, because an area is never negative.
Worked example: 4/9 of a 27-inch ribbon
A ribbon is 27 inches long. How long is the part that covers 4/9, and how do you draw it?
- Draw the whole. Draw a bar for 27 inches and write “1 whole” next to it.
- Divide it into nine equal sections. Each one is 27 ÷ 9 = 3 inches.
- Shade four sections. They can be side by side or apart, because what counts is how many.
- Measure the shaded part. It is 4 × 3 = 12 inches.
Result. The shaded part is 12 inches long.
Check. The 15 unshaded inches are 5 sections of 3 inches, and 12 + 15 = 27 inches, the whole ribbon.
How to draw 3/5 in a circle
In a circle you do not cut pieces by eye: you split the angle. Each sector measures 360° divided by the denominator, so for 3/5 each sector measures 360° ÷ 5 = 72°. With a protractor, mark one radius, measure 72°, and draw the next, and so on until the disc closes into five sectors. Shade three sectors in a row: they cover 3 × 72° = 216° of the 360°. If the last sector does not close without a gap or overlap, recheck your measurements. With large denominators, like 1/16 and its 22.5° per sector, a bar comes out cleaner than a circle.
Fractions greater than 1 and negative fractions
A fraction greater than 1 needs more than one whole, all the same size. For 7/3, draw three bars divided into thirds. Shade the first two completely and one third of the third. That shows that 7/3 is 2 1/3. For a negative fraction, like −3/8, use a number line. Mark 0 and −1, divide the distance into eight equal intervals, and point to the third mark from zero. The figure below shows the positive 3/8, which is the mirror image of −3/8 across 0. The fraction number line places positive, negative, and improper values for you.
Seeing that two fractions are equal without changing the shading
Draw a bar in halves and shade one. Split each half in two: now there are four parts and two are shaded, but the shaded region is the same. Split each part in two again and there are eight parts with four shaded. That is why 1/2 = 2/4 = 4/8, and in reverse, 4/8 simplifies to 1/2 by grouping the parts two at a time. The denominator grows because each piece is smaller, and the numerator grows in the same proportion. The equivalent fractions tool generates these pairs with numbers.
Three checks before you accept a drawing
- The whole is stated. Write what the whole is, for example “27-inch ribbon”.
- The parts are equal in what you measure. Length, area, angle, or number of objects, depending on the model.
- The numerator counts the shaded parts. Count the marked parts and compare with the top number.
To compare two drawings, use the same whole. Half of an 8-inch bar is 4 inches and half of a 20-inch bar is 10 inches: the fraction is the same and the amount is not, as you can see in comparing fractions with drawings. With many small parts, the fraction wall lines up several divisions of the same whole so you can compare them at a glance.
Practice
- Draw 2/3 with a 12-inch bar and measure the shaded part.
- How many degrees is each sector when you draw sixths in a circle?
- Draw 5/3 with bars of the same length and say how many you need.
See the answers
- Each third is 4 inches and the shaded part is 8 inches.
- 360° ÷ 6 = 60°.
- Two bars: one whole and two thirds of the second, because 5/3 = 1 2/3.
For more printable coloring and drawing exercises, see the coloring and representing worksheets.
Sources
The definition of a fraction as a part of a whole, or any number of equal parts, with the example of a cake cut into pieces, is in the Wikipedia article Fraction, in its opening section (accessed October 17, 2026). The article does not cover bar, circle, or number line models: those come from the examples in this guide.