# Basic Fractions

A fraction is a measure of sharing .

Example

What fraction of these counters is yellow ?

one eighth or one in eight of these counters is yellow

Common fractions are written in the form

The top number (numerator) is divided (÷) by

The bottom number ( denominator)

A proper fraction has a smaller numerator

than denominator.

Examples

__3 __ __32 __

4 37

An improper fraction has a larger numerator,
the top is larger than the bottom.

These are often called
top heavy fractions.

Examples

__13 __ __39 __

4 37

wholes, halves, thirds fifths

Examples

What if you don’t know your tables ?

Try dividing top and bottom by 2, 3, 5, or 10

Alternatively

(This method uses prime factors )

- Divide by each prime number in turn, until you cannot divide exactly by that number.
Continue until you reach 1.
- Write the number as the product of
its prime factors.
- Cancel out terms
- Multiply

Example

simplify

## Converting improper fractions to mixed numbers

Divide the numerator (top) by the denominator (bottom)

Write the quotient, then put the remainder over the denominator.

Simplify if possible.

Example

More examples

## Converting mixed numbers to improper fractions

Times the whole number by the denominator (bottom),

Add the numerator (top).

Write this answer on top of the denominator.

Examples

## Calculating fractions of amounts

Examples

Learn

adding/subtracting fractions

multiplying fractions

dividing fractions

Algebraic fractions

© Alexander Forrest