A powerpoint on performing operations with fractions.

1. Grade 9 Maths Fractions Review

2. The next topic in our Number Unit is fractions. So I can make sure no-one is left behind, let’s start with some basics (quickly), before we move on to our Grade 9 work. Let’s Review

3. Fractions are a way to represent a number. What fractions tell us is how many parts of a whole number we have. E.g. ½ means we have one part out of the two needed to make a whole. What Are Fractions?

4. The top part of the fraction tells us how many parts of the whole we have. The bottom part of the fraction tells us how many parts make up the whole. e.g. 1 Numerator (we have one part of the whole) 4 Denominator (four parts make up the whole) The line – known as the vinculum – means divide Parts Of A Fraction

5. In your book, write the following fractions and draw a diagram to show them (e.g. like slices of a pizza). 13613 3 5 10 4 Draw Your Own Fractions

6. Solve the following in your book. Draw a diagram if it helps you, otherwise write the question and the answer. 1 – 1/3 = 1 – ½ = 1 – 1/6 = 1/3 + =1 ¼ + = 1 Work It Out

7. There are 3 types of fractions: Proper, Improper & Mixed Number Types of Fractions

8. A proper fraction has a numerator that is less than the denominator. Proper Fraction

9. An improper fraction has a numerator greater than the denominator. Improper Fraction

10. A mixed number contains a whole number part and proper fraction part. Mixed Number

11. Unit 1 – Types of Fractions Answer the following in your book – write the question number and your answer as either: P = Proper Fraction I – Improper Fraction MN = Mixed Number Your Turn

12. Unit 1 – Types of Fractions

13. A proper fraction is in its simplest form when its numerator and denominator are as small as possible (this will get you top marks on tests – and it’s easier to imagine simple fractions). A fraction can be reduced to its simplest form if we divide both the numerator and the denominator by their highest common factor. Simplifying Fractions

14. Think to yourself – what is the highest number that can be divided into both the numerator and the denominator? E.g. 3 ÷3 = 1 6 ÷3 2 Now we have the simplest form of the fraction. Simplifying Fractions

15. Unit 6 – Simplifying Fractions Answer the following in your book – write the question number, the original fraction, what you divide by and your answer: E.g. 3 ÷3 = 1 6 ÷3 2 Your Turn

16. Unit 6 – Simplifying Fractions

17. Book Work Maths Quest 9: Exercise 1D Page 25 Do Question 1 – all problems Maths Works 9: Exercise 3G Page 51 Do Questions 1-10

18. In order to solve some problems it will be necessary to change fractions from one type to another. It becomes especially important when you try to change a fraction to a decimal or percentage. Converting Fractions

19. Changing Improper Fractions to Mixed Numbers As we move through this unit, you may be asked to change an improper fraction to a mixed number to solve a problem. Here are the steps: Divide the numerator by the denominator and write the answer (this will be the whole number). Write the remainder (if there is one) over the original denominator.

20. Example: Changing Improper Fractions to Mixed Numbers

21. Unit 2 – Changing Improper Fractions to Mixed Numbers. Answer the following in your book – write the question number, the original fraction, what you divide by and your answer: E.g. 20 = 20 ÷3 = 6 remainder 2 = 6 2/3 3 Your Turn

22. Unit 2 – Changing Improper Fractions to Mixed Numbers

23. Unit 3: Changing Mixed Numbers to Improper Fractions As we move through this unit, you may be asked to change an mixed number to an improper fraction to solve a problem. Here are the steps: Multiply the whole number by the denominator and add the numerator. Write this answer over the original denominator.

24. Unit 3: Changing Mixed Numbers to Improper Fractions

25. Unit 3 – Changing Mixed Numbers to Improper Fractions. Answer the following in your book – write the question number, the original fraction, what you multiply by and your answer: E.g. 2 ¾ = 2 x 4 + 3 = 11= 11/4 Your Turn

26. Unit 3: Changing Mixed Numbers to Improper Fractions

27. Book Work Maths Quest 9: Exercise 1D Page 25 Do Question 2 – a-e Do Question3 – a-e Maths Works 9: Exercise 3C Page 47 Do Questions 1-10 & 26-35

28. Unit 4: Comparing Fractions Before we can compare fractions OR add, subtract, multiply or divide fractions, we must make sure that they have the same denominators. To do that: 1. Find the lowest common multiple (LCM -the lowest number that both denominators divide into). 2. Multiply each fraction by the number that will give them the lowest common multiple (LCM).

29. Unit 4: Comparing Fractions

30. Unit 4 – Comparing Fractions Find the lowest common multiple for the two fractions. Multiply each fraction by a number that will give the lowest common multiple. Write the new fractions. State whether the first fraction is: > greater than or < less than Your Turn

31. Unit 4: Comparing Fractions

32. Maths Quest 9 Students – Questions 9-20 & 27-32 Maths Works 9 Students – Questions 1-8 & 21-26 Unit 18 - Worksheet

33. Maths Bingo A Maths Question will appear on the board. The answer will be a number from 1-90. Work out the answer and see if it is a number on your sheet. If it is, place an X on your sheet over the number. Once you have five numbers marked with an X, call “Bingo”. You are the winner! We’ll also play games for first to 10 and first to 15 if there’s time. Maths Bingo