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# 11+ & KS2 Maths: What are improper fractions & mixed numbers?

## Improper Fractions

### Improper fractions

An improper fraction is a fraction where the numerator is larger than or equal to the denominator, such as 10/7 and 15/12.

Improper fractions are known as being ‘top-heavy’.

## Proper Fractions

Improper fractions are different to proper fractions, which are fractions where the numerator is smaller than the denominator.

For example, 5/7 and 8/9.

## Mixed Numbers

Mixed numbers are made up of a whole number and a fraction, such as 6 1/7 and 4 9/10.

In the first example, 6 is the whole number and 1/7 is the fraction.

In the second example, 4 is the whole number and 9/10 is the fraction.

Let’s do some practice!

## Let's Practise!

Decide whether the following are:

a) Improper fraction
b) Proper fraction
c) Mixed number

a) Improper fraction

b) Proper fraction

c) Mixed number

b) Proper fraction

a) Improper fraction.
Remember, an improper fraction is where the numerator is larger than or equal to the denominator.

c) Mixed number

a) Improper fraction

b) Improper fraction

## Fractions in the 11+ exams

For questions on improper fractions, proper fractions and mixed numbers in expert 11+ Maths practice exam papers, take a look at the papers in our shop:

11+ Maths papers

11+ Maths

### 11+ Maths: Reverse Percentages – How to Find an Original Amount

What are reverse percentages? In a reverse percentage question, we are given an amount that has recently increased or decreased by a certain percent. We

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### 11+ Non-Verbal Reasoning: What is a Series?

Read a simple guide to the ‘Series’ Non-Verbal Reasoning question type!

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