Fractions


  • Proper Fractions -

  • Improper Fractions -

  • Rational Fractions -


alt text

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.

alt text


Dividing Fractions

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

alt text


Adding Fractions

To add fractions you need to find a common denominator.

alt text

but what if you have:

alt text

The most obvious common denominator is (b * d)

alt text

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

alt text

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

alt text

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

alt text

Subtracting Fractions

To subtract fractions you need to find a common denominator

alt text

but what if you have:

alt text

The most obvious common denominator is (B * d)

alt text

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

alt text

Excel Fraction Number Format



© 2022 Better Solutions Limited. All Rights Reserved. © 2022 Better Solutions Limited TopPrevNext