Math Tutorial 3.5 - Converting Fractions to Decimals and Vice-versa

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In this Math tutorial, you will learn:

• What are decimal fractions?
• How to turn a decimal into decimal fractions?
• What about fractions that cannot turn into decimal fractions?
• What are decimals? What is their composition?
• How to convert fractions into decimals?
• How to convert decimals into fractions?
• How to convert recurrent fractions into decimals?

Introduction

Do you know how to write the amount "three out of ten" as a fraction?

The same for "two out of three". Can you express this amount as a fraction with a denominator 10? Why? What if you try to express this value as a decimal?

What number does a calculator show when you divide 10 by 3? What do you notice about the result obtained?

In this tutorial, we will explain decimal and fraction-decimal conversion. In addition, we will provide the meaning of recurring decimals and the method used to express them as fraction. Numerous examples will be provided to illustrate these concepts and conversion methods.

Please select a specific "Converting Fractions to Decimals and Vice-versa" 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.

Fractions Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
3.5Converting Fractions to Decimals and Vice-versa
Lesson IDMath Lesson TitleLessonVideo
Lesson
3.5.1Decimal Fractions
3.5.2The Meaning of Decimals. Converting Fractions into Decimals without a Calculator
3.5.3Converting Decimals to Fractions
3.5.4Converting Recurrent Fractions into Decimals

Whats next?

Enjoy the "Converting Fractions to Decimals and Vice-versa" math tutorial? People who liked the "Converting Fractions to Decimals and Vice-versa" tutorial found the following resources useful:

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

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