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Ratio and Proportion
The document discusses ratios and proportions. It defines ratios as a comparison of two quantities that can be written as fractions using a colon or fraction form. It provides examples of setting up and solving ratios and proportions. Key points covered include: writing ratios in lowest terms, setting up cross multiplication to solve proportions, and using variables like n as unknowns to solve for in proportions.
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Ratio and Proportion
- 3. RATIOS IS A COMPARISONOF TWO QUANTITIES. RED APPLES From GREEN APPLES
- 4. RATIOS CAN BE WRITTEN ASFRACTION. 4 3 WE USE COLON (:) OR FRACTION FORM (X/Y) IN WRITING RATIOS.
- 5. Yaya Dub planted12 fruit trees in the orchard. Of these trees, 5 are mango trees and the rest are apple trees.
- 6. Let us comparethe number of Mango trees to the total fruit trees planted in orchard.
- 7. The ratio is 5:12or 5/12
- 8. RATIOS, LIKE FRACTION CAN EXPRESSIN LOWEST TERMS.
- 9. In a classroom,there are 4 boys and two girls. 4:2 2:1In lowest term
- 10. REMEMBER, RATIOS MUST EXPRESSESFIRST IN BOTH MEASUREENT AND UNIT. 6 hours to 2 days 6 hours to 48 hours 6:48 1:8
- 11. THE STATEMENT THAT TWO RATIOSARE EQUAL CALLED PROPORTION.
- 12. 3:10 = 15:50 EXTREMES MEANS *Toprove that theyare equal,crossmultiply. Each has an answerof 150.
- 14. n:3 = 10:15 *nis the unknown variable.
- 15. Write the proportionin fraction form. n = 10 3 15
- 16. Multiply the extremesand then the means. Note that, we use the raised dot (.) for multiplication instead of x symbol. n = 10 3 15 15 . n = 3 . 10 15n = 30
- 17. Divide the leftand right sides 15n = 30 15 15 n = 2
- 18. To check, replace“n” with 2, and then cross multiply. 2 = 10 3 15 2.15 = 30 3.10 = 30
- 20. Express the followingratios in lowest term. 1. 5:20 2. 12:4 3. 6:18 4. 1 hour to 120 minutes 5. 9 days to 3 weeks
- 21. Find the valueof “n” in each following proportions. 1. n:4 = 3:6 2. 8:12 = 10:n 3. 5:n = 1:2 4. 3:7 = 24:n 5. n:10 = 18:5