Math Tutorial 4.1 - Ratios

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There are 6 lessons in this math tutorial covering Ratios. The tutorial starts with an introduction to Ratios and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Ratios. You can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What are ratios? Why ratios are called so?
  • How many quantities can be present in a ratio?
  • Why it is better to use a ratio rather than subtraction to compare two quantities?
  • What is the procedure used to calculate a ratio?
  • How to express ratios R in a number line?
  • How to calculate the inverse ratio 1:R?
  • How to calculate the fraction of a quantity out of a total?
  • How to scale up ratios?
  • How to calculate the part of a whole?
  • How to calculate part of another part.
  • How to find the new ratio when one of quantities changes?
  • How to divide in a given ratio?


Imagine the following scenario: A friend tells you that he owns $50,000 less than his brother. Is this information sufficient to draw a conclusion about their wealth? In other words, is it certain that your friend is poor and his brother is rich?

Obviously, the answer is NO. Your friend may be broke; in this case, his brother owns $50,000. This means none of them is rich but your friend's brother is economically stable. However, another option is that the two brothers may be both rich, as your friend may own 10 million USD of wealth and his brother just $50,000 more.

Therefore, it is not sufficient to know how much a quantity is greater than another to draw conclusions about their respective sizes. Therefore, we need other types of comparison to have a better information and understanding about quantities.

Please select a specific "Ratios" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Ratio and Proportion Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Lesson IDMath Lesson TitleLessonVideo
4.1.1Definition of a Ratio
4.1.2Ratio in a Number Line
4.1.3Finding the Fraction of One Quantity Out of the Total
4.1.4Part : Whole vs Part : Part Ratios
4.1.5Finding the New Ratio When One Quantity Changes
4.1.6Dividing a Given Ratio

Whats next?

Enjoy the "Ratios" math tutorial? People who liked the "Ratios" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Ratio and Proportion Video tutorial: Ratios. Watch or listen to the Ratios video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Ratio and Proportion Revision Notes: Ratios. Print the notes so you can revise the key points covered in the math tutorial for Ratios
  4. Ratio and Proportion Practice Questions: Ratios. Test and improve your knowledge of Ratios with example questins and answers
  5. Check your calculations for Ratio and Proportion questions with our excellent Ratio and Proportion calculators which contain full equations and calculations clearly displayed line by line. See the Ratio and Proportion Calculators by iCalculator™ below.
  6. Continuing learning ratio and proportion - read our next math tutorial: Rates. Applications of Ratios and Rates in Practice

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