Fractions

Choose a bar or a circle and the number of equal parts, then press the parts to shade them. The worksheet and the board get the same model.

Shape

Equal parts Shaded

Digits

0 1 2 3 ٠ ١ ٢ ٣

Shade a fraction

Press a part to shade it, and press it again to clear it. The parts are always equal: that is what makes a fraction.

Equivalent fractions

Cut each part into

Compare fractions

A round of six pairs. Is the top fraction smaller than the bottom one, equal to it or larger? Each answer is explained with a common denominator.

Use it in class

The worksheet and the board get exactly what is set now. You can edit the worksheet before printing, and its answer key comes on a separate page. On the board everything stays editable, and nothing is added to a live lesson.

Worksheet: this fraction first, then new ones to shade Worksheet: this comparison first, then new ones This model on the board

How to use it

Choose a bar or a circle and how many equal parts it has (the denominator).
Press the parts to shade them, or choose how many are shaded (the numerator). The page gives the fraction and its simplest form.
In Equivalent fractions, cut each part again and shade the same amount; in Compare fractions, practise a round with explanations.
For class: make an editable worksheet, with its answer key on a separate page, or put the model on the board, where its parts and shading stay adjustable.

Worked examples

Three quarters is six eighths

Shade 3 of 4 equal parts, then cut each part in two: there are now 8 parts and 6 of them are shaded. The shaded amount has not changed, so three quarters equals six eighths.

Which is larger: two thirds or three fifths?

Cut both into 15 equal parts: two thirds become 10 of 15, and three fifths become 9 of 15. 10 is more than 9, so two thirds is larger.

Quick reference

The denominator is how many equal parts the whole is cut into; the numerator is how many of them are taken.
Multiplying or dividing the numerator and the denominator by the same number gives an equivalent fraction.
With the same denominator, the larger numerator is the larger fraction. With the same numerator, the smaller denominator is the larger fraction.
To compare any two fractions, write them with a common denominator, such as the product of the two denominators.

You can type with either set of digits. The digit choice only changes how this tool shows numbers, and it is kept on this device. An operation written with ٠–٩ reads from right to left; one written with 0–9, from left to right.

Sources

Fractions here are standard school arithmetic. The page works out every comparison and equivalence exactly with whole numbers, and automated tests check them.