6. ES: Application of Number: Fractions Part 2
- 1. FRACTIONS Application of Number Unit 1 Leigh McQuaid
- 2. L E A R N I N G I N T E N T I O N S • Write one quantity as a fraction of another • Find fractions of an amount using multiplication and division • Find fractions of an amount using a calculator
- 3. R E V I S I O N Q U I Z – FAC T O R S A N D M U LT I P L E S https://wordwall.net/play/86699/308/ 519
- 4. Q UA N T I T I E S A S F R AC T I O N S O F A N O T H E R **Remember the bottom number (denominator) is always the total number of parts** 1. You have 7 clients booked in for appointments tomorrow. 5 are on time, 2 are late, what fraction were late? o How many clients were late? o How many clients were there in total? Answer:
- 5. Q UA N T I T I E S A S F R AC T I O N S O F A N O T H E R **Remember the bottom number (denominator) is always the total number of parts** 2. You do a stock take. There were 20 bags of sugar at the start of the week and now there are only 12 left. What fraction of bags of sugar have been used? o How many bags of sugar have been used? o How many bags of sugar was there in total? Answer:
- 6. Q UA N T I T I E S A S F R AC T I O N S O F A N O T H E R **Remember the bottom number (denominator) is always the total number of parts** 3. You have a party booked with 120 guests. 45 of the guests are children. What fraction of the guests are adults? o How many adults are there? o How many guests are there in total? Answer:
- 7. Complete the page entitled 'One Quantity as a Fraction of another'
- 8. F R AC T I O N S O F A N A M O U N T Fractions represent a part of a whole number. Example 1: It is your friends birthday and you are all having cake. The cake is cut into 12 slices and you all eat one slice each. What fraction of the cake did you eat? Answer: 1 /12 Example 2: You are having pizza with friends, the pizza is cut into 8 slices and you eat 3 slices. What fraction of pizza did you eat? Answer: 3 /8 Now imagine you have to pay for your fraction of the pizza.
- 9. F R AC T I O N S O F A N A M O U N T The top number on a fraction is called the . numerator denominato r total The bottom number on a fraction is called the . The denominator always represents the number of parts.
- 10. F R AC T I O N S O F A N A M O U N T What is of 30? The denominator tells us how many groups the number has been split into. In this case, 30 is split into 6 groups (30 ÷ 6). Each group has 5 in it
- 11. F R AC T I O N S O F A N A M O U N T What is of 30? The numerator tells us how many groups we need to count to work out the answer. In this case, we need to count 5 groups (5 x 5) So 5 /6 of 30 = 25
- 12. Q UA N T I T I E S A S F R AC T I O N S O F A N A M O U N T To find fractions of an amount: Divide the amount by the denominator (bottom number) Multiple your answer by the numerator (top number) Find 1 /6 of 36 36 ÷ 6 = 6 6 x 1 = 6 Answer: 6
- 13. Q UA N T I T I E S A S F R AC T I O N S O F A N A M O U N T To find fractions of an amount: Divide the amount by the denominator (bottom number) Multiple your answer by the numerator (top number) Find 3 /5 of 80 80 ÷ 5 = 16 16 x 3 = 48 Answer: 48
- 14. Q UA N T I T I E S A S F R AC T I O N S O F A N A M O U N T To find fractions of an amount: Divide the amount by the denominator (bottom number) Multiple your answer by the numerator (top number) Find 6 /8 of 176 176 ÷ 8 = 22 22 x 6 = 132 Answer: 132
- 15. Q UA N T I T I E S A S F R AC T I O N S O F A N A M O U N T To find fractions of an amount: Divide the amount by the denominator (bottom number) Multiple your answer by the numerator (top number) You are having pizza with friends, the pizza is cut into 8 slices and you eat 3 slices. What fraction of pizza did you eat? Answer: 3 /8 The pizza cost £24, how much was your share of the pizza? £24 ÷ 8 = £3 £3 x 3 = £9 Answer: £9
- 16. Complete the page entitled 'Fractions of an Amount Maze'
- 17. F R AC T I O N S O F A N A M O U N T O N A C A L C U L AT O R It is important to know the method for finding fractions of an amount (divide by the bottom, times by the top) but it is also possible to work these calculations out using a calculator. Eg. Find 3 /5 of 60 Type into calculator: 3 /5 x 60 Answer: 36
- 18. Q U I Z T I M E - F R AC T I O N S O F A N A M O U N T https://wordwall.net/play/87115/713/ 818
- 19. L E A R N I N G I N T E N T I O N S • Write one quantity as a fraction of another • Find fractions of an amount using multiplication and division • Find fractions of an amount using a calculator
- 20. A N S W E R S Slide 4: 2 /7 Slide 5: 8 /20 Slide 6: 75 /120 = 2 /5 = 5 /8