Fractions

The circle is split up into equal parts. of the parts are shaded green, which means of the circle is green.

The rectangle is split into equal parts, and of those parts are shaded purple.

of the rectangle is purple.

can be reduced because both the denominator and the numerator can be divided by

We can make number lines to help us solve this problem:

The two lines above are the same length. The top line is split into pieces and the bottom line is split into pieces.

and are equivalent because they occupy the same position on the number line.

The fraction models below show and

is greater than because more of the model is filled in.