1.12

## National STEM Learning Centre

Skip to 0 minutes and 7 secondsPAULA KELLY: OK, so we've just seen how fractions can be written as mixed numbers. Another way to write some fractions, [? if ?] we come back to our examples-- if we had our two pizzas, in our full pizza, we have 8 [? out of ?] 8 slices. In our next pizza, we have a 5 out of 8 slices. So we can also write that as having 13/8. In our other example, we had two full pizzas-- so 5 out of 5 slices, another 5 out of 5 slices, and then finally, 3 out of 5 slices remaining. So all together, we have 13/5. So these fractions where the numerator is larger than the denominator we call top-heavy fractions.

Skip to 0 minutes and 51 secondsWe can also call that improper, or vulgar fractions. They're all examples where fractions have a value greater than 1.

# Top heavy fractions

Most fractions students encounter represent a number which is less than one whole, and are of the form where the numerator has a value which is less than the value of the denominator.

We have seen how fractions with a value greater than one can be expressed as a mixed number. Another way of expressing a fraction with a value greater than one is as a top heavy fraction: one where the numerator has a greater value than that of the denominator. These are also known as improper fractions.

## Problem worksheet

Now complete questions 12 to 15 from this week’s worksheet.

## Teaching resource

To explore mixed numbers and top heavy (improper) fractions further, see the Fractions: Mixed numbers video showing conversion between mixed numbers and top heavy fractions.