Fractions, decimals and percentages – Improve Tuition

Table of Contents

 

 Unit 1 | Algebra

Page 1 | Expressions and Formulae

Page 2 | Index notation

Page 3| Solving Linear Equations

Page 4| Expanding and Factorising

Page 5| Factorising Quadratics and expanding double brackets

Page 6| Patterns and Sequences

Page 7| Simultaneous Equations

Page 8| Changing the subject of a Formula

Page 9| Adding , subtracting algebraic formulas

 Unit 2 |Graphs

Page 1 | Straight line graphs

Page 2 | Graphs of Quadratic functions

Unit 3 |Geometry and Measure

Page 1 | Transformations

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 5 | Circle geometry

Page 6 | Measurement

Page 7 | Trigonometry

Page 8 | Pythagoras

Page 9 | Angles

Page 10 | Shapes

Page 11| Time

Page 12 | Locus

Unit 4 | Numbers

Page 1 | Speed, Distance and time

Page 2 | Rounding and estimating

Page 3 | Ratio and proportion

Page 4 | Factors, Multiples and primes

Page 5 | Powers and roots

Page 6 | Decimals

Page 7 | Positive and negative numbers

Page 8 | Basic operations

Page 9 | Fractions

Page 10 | Percentages

Unit 5 | Statistics and Probability

Page 1 | Sampling data (MA)

Page 2 | Recording and representing data

Page 3 | Mean median range and mode

Page 4 | Standard deviation

Unit 4 | Calculus

Fractions, Decimals and Percentages


  1.  Fractions, decimals and percentages are all different ways to represent a quantity as part of a whole.

2.  They can all be converted into each of the other forms and still represent the same amount – this means they are

3.  These are some common equivalents that you should know.

1/100 = 0.01 = 1%

1/10 = 0.1 = 10%

½ = 0.5 = 50%

¼ = 0.25 = 25%

1/5 = 0.2 = 20%

  1. Hopefully, you will be able to use these facts to help you find out the answers for equivalents of other fractions, decimals and percentages.

Example 1:

Let’s say we want to find out what ¾ is as a percentage.

We already know that ¼ is 25% – ¾ must be three times bigger than this.

25% x 3 = 75%

Converting between fractionsdecimals and percentages using a calculator is quite simple if you know what to do.

  1.  You can convert a fraction to a decimal by dividing the numerator by the denominator

2.  You can convert a decimal to a percentage by multiplying it by 100.

3.  You can convert a percentage to a decimal by dividing it by 100.

4.  You can convert a percentage to a fraction by writing the number over a denominator of 100.

 

 

 

 

 

1 2 3 4 5 6


“Stop wasting 
Time.”

++44 (0)1924 506010