Learning FractionsHub Page

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Welcome to the Math Salamanders Learning Fractions support page.

Here you will find information and support about everything to do with fractions.

This page contains links to other Math webpages where you will find a range of activities and resources.

Each webpage has a short description of what the page is about and the math learning it covers.

If you cannot find what you are looking for, try searching the site using the Google search box on the right hand side on this page.

Fraction Learning

Learning Fractions Support Page

What is a fraction?

How do you add and subtract fraction?

What is simplest form?

What does is mean if 2 fractions are equivalent?

What are proper and improper fractions?

How can I convert a mixed number into a fraction?

Free Online Fraction Calculator

Fraction Definitions

What is a fraction?

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 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 notation

A fraction is a number with the form   n d

Alternative ways of expressing this statement include:

"n over d", n ÷ d

Example

The fraction   5 6 could be expressed as:

five-sixths, five over six, 5 ÷ 6

Proper and Improper Fractions & Mixed Numbers

A fraction is a number with the form   n d

If the numerator is smaller than the denominator (if n < d), then the fraction is called a proper fraction, and its value is less than 1.

If the numerator is greater than the denominator (if n > d), then the fraction is called an improper fraction, and its value is greater than 1.

If the numerator is equal to the denominator, then the fraction's value is equal to 1.

A mixed number (or mixed fraction) is a number that has a whole number part to it, and a fraction part to it.

Examples

3 7,   2 10 and   17 26 are all proper fractions.

31 5,   15 10 and   37 23 are all improper fractions.

3 1 5,   1 2 3 and   12  7  10 are all mixed numbers or mixed fractions.

"Common" or "Vulgar" Fractions

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 45,   5 9 and   51 16 are all common or vulgar fractions.

3.2 4.5,   5 0 and   0.57 1.6 are not common or vulgar fractions.

Decimal Fractions

A decimal fraction is a fraction where the denominator is a power of ten.

7  10,    5  100 and   537 1000 are all decimal fractions.

They are equal to 0.7, 0.05 and 0.537 respectively.

3 5,    2  12 and   263 500 are not decimal fractions.

Fractions Decimals Percents

Equivalent Fractions

Simplifying Fractions

How to Convert Improper Fractions

Multiplying and Dividing Fractions

Converting Fractions to Decimals

Converting Fractions to Percentages

Fractions of Numbers

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