This worksheet takes students through a small investigation into identifying whether fractions are equivalent to recurring or terminating decimals.

In section A, students will use their calculators to find the decimal equivalents of 6 fractions and then sort these into recurring or terminating decimals.

Next, section B asks learners to find the prime factorisation of each of the denominators of the fractions and to see if they can spot the difference between denominators in terminating and recurring decimals.

Now students put their theory to the test by identifying recurring and terminating decimal equivalents from a list of 9 fractions.

Finally, stretch learners further by asking them to consider if all fractions with the same denominator will behave similarly.