Fractions

Activities

Fraction Line
Activity
Arrange the fractions, shown in a variety of formats, in order from smallest to largest.

Equivalent Fractions
Activity
Practise finding equivalent fractions numerically and in fraction diagrams.

Equivalent Fraction Pairs
Activity
The traditional pairs or Pelmanism game adapted to test knowledge of equivalent fractions.

Fraction Matcher
Activity
Match shapes and numbers in this fractions activity. Challenge yourself on many levels.

Fraction Order
Activity
Arrange the fractions and decimals in order from smallest to largest.

Cheese and Onion Pies
Activity
Sort the fractions from smallest to largest.

Vinculum
Activity
A challenge to find fractions which are larger than the previous fraction but less than one.

Fraction Dissect
Activity
Draw lines to dissect the rectangles to make the given fractions.

Overloaded Fraction
Activity
A set of ten puzzles requiring you to arrange the given digits to make an equivalent fraction.

Fractions by Wholes
Activity
An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers.

Express as a Fraction
Activity
Express one quantity as a fraction of another, where the fraction could be less than 1 or a mixed number.

Fractions
Activity
A series of self-marking exercises on adding, subtracting, multiplying and dividing fractions.

Boxed In Fractions
Activity
The classic dots and boxes two-player game with the addition of some fractions which determine your score.

Fractionagons
Activity
Calculate the missing fractions in these partly completed arithmagon puzzles.

Fickle Fractions
Activity
Compare pairs of fractions to identify the largest or smallest in order to move through the maze.

Fraction of ...
Activity
Practise your ability to find a fraction of a given amount with this self marking exercise.

Fraction Percentage
Activity
Match the fraction with the equivalent percentage. A drag and drop self marking exercise.

Fraction Decimal Pairs
Activity
The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent decimals.

Fraction Percentage Pairs
Activity
The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent percentages.

Particular Pipes
Activity
Construct the pipes using a set number of pieces with lengths given as fractions, decimals or percentages.

Improper Fractions
Activity
A self-marking online exercise on converting improper fractions to mixed numbers and vice versa.

Mixed Numbers
Activity
A self marking quiz about the application of the four operations to mixed numbers.

Ratios vs Fractions
Activity
Relate the language of ratios and the associated calculations to the arithmetic of fractions.

Fractions, Decimals, Percentages
Activity
An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.

Solve To Find Fractions
Activity
Find the value of the unknown in each of these linear equations. All of the answers are fractions

All For One
Activity
Drag the numbers one to nine onto the outlines of three fractions that combine to make one.

Inequalities
Activity
Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures.

Circumfraction
Activity
Quite a challenging number placing puzzle involving fractions.

Recurring Decimals
Activity
Change recurring decimals into their corresponding fractions and vica versa.

Algebraic Fractions
Activity
A mixture of algebraic fraction calculations and simplifications.

Equations with Fractions
Activity
Practise solving linear equations that contain fractions in this multi-level exercise.

Videos

This is the main Transum help video on Fractions.

Fraction Basics Song
Activity
A free trial lesson from Math Upgrade dot com.

Fractions Video
Activity
So many people can't remember how to add, subtract, multiply and divide fractions so here is a reminder.

Improper Fractions Level 1
Activity
Converting improper fractions to mixed numbers. The video is to help you do the online exercise.

Improper Fractions Level 2
Activity
Find out how to change a mixed number into an improper fraction. This video is to help you do the online, self-marking exercise.

Improper Fractions Level 3
Activity
Learn how to convert an improper fraction to a mixed number in its lowest terms.

Mixed Numbers
Activity
Revise the methods for adding, subtracting, multiplying and dividing mixed numbers (fractions) by watching this video.

Fractions Decimals Percentages Video
Activity
A reminder of the quick methods of converting between fractions, decimals and percentages.

Equations with Fractions Video
Activity
If you have learnt how to solve linear equations the next step is to solve equations with fractions.

Visual Aids

Fraction Wall
Activity
The traditional fraction wall diagram showing the relationship between simple fractions.

Fraction Spinners
Activity
Know the properties of the fractions randomly produced by the two spinners.

Fractions Kim's Game
Activity
A memory game to be projected to help the whole class recognise basic fractions.

Fractions Decimals Percentages
Activity
Revise the methods for converting fractions to decimals and percentages.

How old was Diophantus?
Activity
An ancient riddle which can be answered by solving an equation containing fractions.

Starters

Starter
Coins On The Table
A puzzle about the number of coins on a table given information about fractions of them.

Starter
Fractangle
Can you see what fractions of the shapes have been shaded? It is not as difficult as it first appears.

Starter
Fraction Order
Arrange the fractions and decimals in order from smallest to largest.

Starter
Fractions Decimals Percentages
Convert fractions to decimals, decimals to percentages and percentages to fractions.

Starter
Giraffe
The height of this giraffe is three and a half metres plus half of its height. How tall is the giraffe?

Starter
Half Hearted
Find the number which when added to the top (numerator) and bottom (denominator) of each fraction make it equivalent to one half.

Starter
Halloween
Five problems with a Halloween theme.

Starter
Inbetweens
Find fractions between two given values.

Starter
Loopy Lake
Match the fractions to their decimal equivalents and join them with lines that do not cross.

Starter
One Fifth
Investigate three fractions which add together to give one fifth.

Starter
One Ninth
Investigate three fractions which add together to give one ninth.

Starter
Recurring Decimal
Use your calculator to find which whole number divided by another whole number gives a recurring decimal.

Starter
Refreshing Revision
It is called Refreshing Revision because every time you refresh the page you get different revision questions.

Starter
Two Thirds
Make a poster showing a variety of calculations that give the answer two thirds.

53 items are currently in this category.

Teachers might find the complete Fractions Topic List useful.

A fraction is a part of a number. Fractions are either vulgar or decimal. Vulgar fractions can be proper, improper or mixed. Equivalent fractions have the same value.

Pupils, at all stages of their learning, should practise using fractions. From dealing with halves, the most basic fraction, to manipulating algebraic fractions containing surds, this topic is always relevant. Proficiency also depends on reasonable numeracy skills particularly the multiplication tables and finding the lowest common multiple of two numbers. Pupils also need to be able to convert vulgar fractions to decimals and percentages and vice versa.

Be wary of teaching the 'rules' for manipulation fractions by rote. Pupils need to understand the reason why and the time-honoured key to understanding starts with the imaginary pizza and the much-used fraction wall.


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