Welcome to the Math Salamanders Learning Fractions support page.
Here you will find information and support about everything to do with fractions.
We have a huge range of resources, from fraction calculators and fraction conversion sheets to fraction information posters, fraction strips and flashcards.
This page contains links to other Math webpages where you will find a range of activities and resources.
If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.
Fractions is an area that a lot of kids find hard to understand. One of the problems with fractions is that they have different meanings depending on the context.
For example, you can eat half an apple or cut an orange into fourths. But you can also put the number one-half on a number line, measure a line 3 1/2 cm long, or find a fourth of 24.
Once the concept of fractions as numbers and fractions as parts of a whole has been understood, your child will be well on their way to developing a sound understanding of fractions.
What is a fraction?
What is a mixed number?
Can you help me with fraction definitions?
I am looking for some fraction worksheets, can you help?
Is there a fraction calculator showing working out I can use?
How do I do basic fraction arithmetic?
How to add and subtract fractions support
How to multiply and divide fractions support
What is simplest form and how do you simplify fractions?
What does is mean if 2 fractions are equivalent?
What are proper and improper fractions?
How do I find a fraction of a number?
How can I convert a a fraction into a mixed number, decimal or percentage?
Do you have any fraction printables for handy reference?
Do you have any fraction games to play?
All these answer and more you will find on this page!
We have a selection of different fraction calculators which will help you to add, subtract, multiply and divide fractions.
Our fraction calculators will also:
A fraction is a number which contains parts of a whole.
Fractions can be smaller than or larger than one (one whole).
A fraction is a number with the form: \[ {n \over d} \]
where n and d are two numbers.
The number n above the line is called the numerator.
The number d below the line is called the denominator.
Alternative ways of expressing this statement include:
n over d, n ÷ d
The fraction \[ {5 \over 6} \] could be expressed as: five-sixths, five over six, 5 ÷ 6
A fraction is a number with the form: \[ {n \over d} \]
Please note: if the value of n or d is negative, then we compare the absolute values.
\[{3 \over 7} \; , \; {2 \over 10} \; and \; {17 \over 26} \] are all proper fractions.
\[ {31 \over 5} \; , \; {15 \over 10} \; and \; {37 \over 23} \] are all improper fractions.
\[ 3{1 \over 5} \; , \; 2 {5 \over 8} \; and \; 4 {1 \over 2} \] are all mixed numbers or mixed fractions.
To get help converting improper fractions to mixed numbers,
use this link.
A common or vulgar fraction is simply an ordinary fraction.
The numerator and denominator must be integers, or whole numbers, and the denominator cannot equal zero.
\[ {35 \over 45} \; , \; {5 \over 9} \; and \; {51 \over 16} \] are all common or vulgar fractions.
\[ {3.2 \over 4.5} \; , \; {5 \over 0} \; and \; {0.57 \over 1.6} \] are NOT common or vulgar fractions.
A decimal fraction is a fraction where the denominator is a power of ten.
\[{7 \over 10} \; , \; {5 \over 100} \; , \; {537 \over 1000} \]
are all decimal fractions.
They are equal to 0.7, 0.05 and 0.537 respectively.
\[{3 \over 5} \; , \; {2 \over 12} \; and \; {263 \over 500} \] are not decimal fractions.
Here are the formulas for adding, subtracting, multiplying and dividing two fractions:
Formula for adding two fractions
\[{a \over b} + {c \over d} = {ad + bc \over bd} \]
Formula for subtracting two fractions
\[{a \over b} - {c \over d} = {ad - bc \over bd} \]
Formula for multiplying two fractions
\[{a \over b} \times {c \over d} = {ac \over bd} \]
Formula for dividing two fractions
\[{a \over b} \div {c \over d} = {ad \over bc} \]
How to add and subtract fractions support
How to multiply and divide fractions support
Below are some common conversions for fractions into decimals and percents.
Fraction | Equivalent to | Decimal | Percent |
1/2 2/2 1/3 2/3 3/3 1/4 2/4 3/4 4/4 1/5 2/5 3/5 4/5 5/5 1/6 2/6 3/6 4/6 5/6 6/6 1/8 2/8 3/8 4/8 5/8 6/8 7/8 8/8 1/10 2/10 3/10 4/10 5/10 6/10 7/10 8/10 9/10 10/10 |
1/2 1 1/3 2/3 1 1/4 1/2 3/4 1 1/5 2/5 3/5 4/5 5/5 1/6 1/3 1/2 2/3 5/6 1 1/8 1/4 3/8 1/2 5/8 3/4 7/8 1 1/10 1/5 3/10 2/5 1/2 3/5 7/10 4/5 9/10 1 |
0.5 1.0 0.333 0.667 1.0 0.25 0.5 0.75 1.0 0.2 0.4 0.6 0.8 1.0 0.167 0.333 0.5 0.666 0.833 1.0 0.125 0.25 0.375 0.5 0.625 0.75 0.875 1.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 |
50% 100% 33.3% 66.7% 100% 25% 50% 75% 100% 20% 40% 60% 80% 100% 16.7% 33.3% 50% 66.7% 83.3% 100% 12.5% 25% 37.5% 50% 62.5% 75% 87.5% 100% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% |
Where a digit is underlined, it means that the number has been rounded to 3 decimal places, or to the nearest 0.1%.
If you need help on how to convert between fractions, decimals and percentages, use this link.
Here is our collection of printable fraction information cards.
Each card has a fraction in the middle and a range of different representations of the fractions around the outside.
It is a great resource for developing fraction knowledge and useful for any fraction display.
Each card also contains decimal and percent facts for each fraction.
There are 3 versions of each card, one for display and two worksheets which test the children on their fraction knowledge.
Using these cards will help your child to:
These cards will help your child get to grips with fractions in a visual and fun way.
Here you will find a selection of Fraction Strips designed to help your child understand their unit Fractions.
Using Fraction Strips is a great way to learn your Fraction facts and help you to understand exactly how much fractions are worth.
Using these fraction strips will help your child to:
Here you will find a selection of Fraction Flash Cards designed to help your child learn their Fractions.
Using these flashcards will help your child to:
This support page introduces mixed numbers with some examples and an interactive teaching app.
There are also some practice worksheets to help you identify and write mixed numbers.
Equivalent fractions are fractions which have the same value as each other.
We have a support page to help you understand all about equivalent fractions, and also some equivalent fractions worksheets.
This is also sometimes called reducing fractions to their simplest form.
This involves dividing both the numerator and denominator by a common factor to reduce the fraction to the equivalent fraction with the smallest possible numerator and denominator.
The printable fraction page below contains more support, examples and practice about simplifying fractions.
This support page shows how to convert improper fractions to mixed numbers, and how to convert mixed numbers to improper fractions.
You will also find printable support sheets, and several practice math worksheets for this learning fractions skill.
Adding and subtracting fractions works differently from adding and subtracting integers or decimals.
The printable learning fractions pages below contains more support, examples and practice adding and subtracting fractions.
Formula for adding two fractions
\[{a \over b} + {c \over d} = {ad + bc \over bd} \]
Formula for subtracting two fractions
\[{a \over b} - {c \over d} = {ad - bc \over bd} \]
The printable fraction pages below contains more support, examples and practice multiplying and dividing fractions.
Formula for multiplying two fractions
\[{a \over b} \times {c \over d} = {ac \over bd} \]
Formula for dividing two fractions
\[{a \over b} \div {c \over d} = {ad \over bc} \]
To convert a fraction to a percentage follows on simply from converting a fraction to a decimal.
Simply divide the numerator by the denominator to give you the decimal form. Then multiply the result by 100 to change the decimal into a percentage.
The printable learning fraction page below contains more support, examples and practice converting fractions to decimals.
Often when we are talking about and using fractions, we are looking at fractions of numbers or quantities.
To find a fraction of a number or quantity, we need to first divide the number or quantity by the denominator. Then multiply this by the numerator to give the answer.
The printable learning fractions page below contains more support, examples and practice finding fractions of numbers.
Here is our collection of Math games involving fractions.
These games are suitable for kids aged from 3rd grade and upwards.
Playing games is a great way to learn fraction skills in a fun way.
Fraction equivalence, fraction to decimal conversion and properties of fractions are all explored in our fun games to play.
This interactive fraction builder is a great way of exploring fractions and having a go at some online fraction challenges.
It has been created by PhET Interactive Simulations from the University of Colorado.
You can create fractions and mixed fractions as well as trying some interactive fraction challenges.
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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.
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We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step!
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