![State True or False:
•The antecedent and consequent values are different, but still,
if we reduce them to the simplest form, we will get the same
value. [True]](https://image.slidesharecdn.com/sandhyass7-220506051147-68c89794/85/Comparing-Quantities-Part-2-Equivalent-Ratio-15-320.jpg)
Comparing Quantities Part 2 "Equivalent Ratio"
- 1. Integrated B.Sc. - B.Ed. Name : SANDHYA School Of Education Part 2
- 3. In the park. a lady had given a kid two chocolates .What is the ratio to kid to chocolates?
- 4. In the park. a lady had given a kid two chocolates .What is the ratio to kid to chocolates? Ratio of kid to chocolates = 1:2
- 5. Later on ,there are five kids and ten chocolates. This is equally distributed among them. The ratio of kids to chocolates = Ratio of kid to chocolates = 1:2
- 6. Later on ,there are five kids and ten chocolates. This is equally distributed among them. The ratio of kids to chocolates = 5: 10 Ratio of kid to chocolates = 1:2
- 7. Later on ,there are five kids and ten chocolates. This is equally distributed among them. The ratio of kids to chocolates = 5: 10 Ratio of kid to chocolates = 1:2
- 8. Does this ratio - ‘5:10 & 1:2’ represent the same relationship? The ratio of kids to chocolates = 5: 10 Ratio of kid to chocolates = 1:2
- 9. Equivalent Ratios Two or more ratios that express the same relation or comparison of numbers are known as equivalent ratios. • It is similar to the concept of equivalent fractions. The equality of two ratios is also known as proportion. Note: The antecedent and consequent values are different, but still, if we reduce them to the simplest form, we will get the same value.
- 10. Equivalent Ratios For example, to find whether 2:3 and 16:24 are equivalent ratios or not, we will have to reduce both ratios to their simplest form.
- 11. Equivalent Ratios For example, to find whether 2:3 and 16:24 are equivalent ratios or not, we will have to reduce both ratios to their simplest form. • 2:3 is already in simplest form as the HCF of 2 and 3 is 1. The HCF of 16 and 24 is 8. So, let us divide both these numbers by 8 to find the reduced form. This implies (16÷8):(24÷8) = 2:3 It is clear that 2:3 and 16:24 results in the same value, therefore they are equivalent ratios.
- 12. List some examples from their day to-day life where they observe equivalent ratios.
- 13. 𝟏 𝟐 = 𝟐 𝟒 = 𝟒 𝟖 List some examples from their day to-day life where they observe equivalent ratios.
- 14. State True or False: •The antecedent and consequent values are different, but still, if we reduce them to the simplest form, we will get the same value.
- 15. State True or False: •The antecedent and consequent values are different, but still, if we reduce them to the simplest form, we will get the same value. [True]
- 16. Following is the performance of a cricket team in the matches it played: (b.) How can you say so? Year Wins Losses Last year 8 2 This Year 4 2
- 17. Following is the performance of a cricket team in the matches it played: (a.)In which year was the record better? Year Wins Losses Last year 8 2 This Year 4 2 • Last year, Wins: Losses = 8 : 2 = 4 : 1 • This year, Wins: Losses = 4 : 2 = 2 : 1 Obviously, 4 : 1 > 2 : 1 Hence, we can say that the team performed better last year.
- 18. Are the given ratios - 15:10 and 30:15 equivalent or not?
- 19. • To find whether the given ratios are equivalent or not. Let us use the cross multiplication method. We can write these ratios as 𝟏𝟓 𝟏𝟎 and 𝟑𝟎 𝟏𝟓 𝐬𝐮𝐜𝐡 𝐚𝐬 𝟏𝟓 𝟏𝟎 𝟑𝟎 𝟏𝟓 Now, multiply 15 by 15 and 10 by 30. • 15 × 15 = 225 • 10 × 30 = 300 Here, 225 ≠ 300. Therefore, 15:10 and 30:15 are not equivalent ratios. Are the given ratios - 15:10 and 30:15 equivalent or not?
- 20. Encircle the equivalent ratios of 6:5 34:14 30: 25 5:6 60: 72 72:60
- 21. Ratio of distance of the school from Sneha’s home to the distance of the school from Ashish’s home is 2 : 1. (a.)Who lives nearer to the school?
- 22. Ratio of distance of the school from Sneha’s home to the distance of the school from Ashish’s home is 2 : 1. (a.)Who lives nearer to the school? Ashish lives nearer to the school (As the ratio is 2 : 1)
- 23. Ratio of distance of the school from Sneha’s home to the distance of the school from Ashish’s home is 2 : 1. (b)Complete the following table which shows some possible distances that Sneha and Ashish could live from the school. Distance from Sneha’s home to school (in km.) Distance from Ashish’s home to school (in km.) 10 5 4 4 3 1
- 24. Ratio of distance of the school from Sneha’s home to the distance of the school from Ashish’s home is 2 : 1. (b)Complete the following table which shows some possible distances that Sneha and Ashish could live from the school. Distance from Sneha’s home to school (in km.) Distance from Ashish’s home to school (in km.) 10 5 8 4 4 2 6 3 2 1
- 25. A) 3: 4 B.) 3:2 C.) 4:3 D.) 2:3 • Which ratio is equivalent to 14:21?
- 26. RECAPITULATION: • Two or more ratios that express the same relation or comparison of numbers are known as equivalent ratios. • In the following figure, encircle the equivalent ratios and simplify also .
- 27. RECAPITULATION: • Find two equivalent ratios of 10:11. • Real life examples of Equivalent Ratios :
- 28. HOMEWORK: Q.1) Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall. Q.2) Mother wants to divide Rs36 between her daughters Swati and Warsha in the ratio of their ages. If age of Swati is 15 years and age of Warsha is 12 years, find how much Swati and Warsha will get. Q.3) Present age of father is 42 years and that of his son is 14 years. Find the ratio of (a)Present age of father to the present age of son. (b) Age of the father to the age of son, when son was 12 years old. (c) Age of father after 10 years to the age of son after 10 years. (d) Age of father to the age of son when father was 30 years old. Breadth of the hall (in metres) 10 40 Length of the hall (in metres) 25 50