# Listing Fractions and Decimals in Order

It requires the candidate to understand equivalent forms of fractions or decimals. Often, these can be |

This is a common question which appears in both the AQE and PPTC(GL) transfer tests. It also gets tested at Key Stage 3 and GCSE with slightly more difficult numbers.

**DO NOT** simply guess these. A lot of young people believe that they can simply judge these and they try to answer by instinct alone and it is easy to make a mistake doing this.

**Is 3/4 greater than 4/5?**

The only reliable way to answer these is by converting them into equivalent forms of the same number. All of the numbers in the sample question can be written as percentages...

Now it is easy to see which is the smallest amount and put them in order. Remember to write the original values and not your percentage equivalents.

And that's it. Oh, and 1/3 **does not** equal 33% - not exactly. A common trick question here is to list the values 33% **and** 1/3. Or maybe 1/3 and 33/100.

**1/3 is larger than 33%. It's actually 33.333...%**

**1/3 is larger than 33/100.**

**33/100 = 33%. (That's what percent means - out of one hundred)**

Here is the same question with different numbers for you to try...

Answer...

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Good luck,

TransferReady.co.uk