# Fractions

• Proper Fractions -

• Improper Fractions -

• Rational Fractions -

Numerator - This is the number on the top
Denominator - This is the number on the bottom. The denominator of a fraction can never be zero. If it is then the fraction is undefined.
The denominator of a fraction can never be zero.

### Converting Fraction to Decimal

divide the number above the line (numerator) by the number below the line (denominator)

### Converting Fraction to Percentage

divide the number above the line (numerator) by the number below the line (denominator)
and then multiple by 100

### Multiplying Fractions

Multiplying fractions is easier than adding them up.
Just multiply straight across the top and straight across the bottom.

### Dividing Fractions

This is identical to multiplying except you need to flip the second fraction first.

To add fractions you need to find a common denominator.

but what if you have:

The most obvious common denominator is (b * d)

Exactly which common denominator you use will depend on the fractions you want to add together.
For example consider the fractions:

You could use the denominator (4 * 10) = 40

Alternatively you could use a smaller common denominator
For example you could use 20. Since both 4 and 10 go into 20.

How many times does 4 go into 20. 5 times
How many times does 10 go into 20. 2 times

### Subtracting Fractions

To subtract fractions you need to find a common denominator

but what if you have:

The most obvious common denominator is (B * d)

### Simplifying Fractions

At the end of a calculation you are often left with a complicated algebraic formula.
Not always but sometimes it is possible to cancel some of the fractions to give you a simpler answer.

For example, lets consider the fraction 50/100
This could be simplified
It could be written as 25/50 or 5/10 or 1/2

You can only simplify a fraction of the numerator and the denominator share a common multiple

© 2022 Better Solutions Limited