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### Grade 8 - Mathematics2.1 Ratio - I

 A ratio is a way of comparing two quantities. It is written as 3 to 4 or 3 : 4 It is same as writing fraction. Example: 3/4 The ratio of two quantities expressed is the simplest form of that fraction. Always make sure the things you are comparing are in the same unit. If not convert one so that they are in the same unit. Example: Express 1 hour to 1 day as ratio. Always make sure the things you are comparing are in the same unit. First convert 1 day to 24 hours 1 hour to 1 day 1 day = 24 hours 1 : 24 Answer 1 : 24 Example: What is the ratio of 21 and 35? This can be written as 21/35 To find the simplest form, we find the HCF of the given quantities Factors of 21 are 1, 3, 7, 21 Factors of 35 are 1, 5, 7, 35 HCF is 7. Divide both 21 and 35 by 7. The simplest form of this is 3/5. Answer: 3:5 Directions: Answer the following questions. Also write at least ten examples of your own.
 Q 1: The second term in a ratio is called ______.antecedentprecedentsumconsequent Q 2: The first term in a ratio is called _____.precedentconsequentfirst termantecedent Q 3: Express the ratio 2 feet to 18 inches as a fraction in simplest form.4 to 32 to 33 to 41 to 3 Q 4: To find the ratio between two quantities in same units we _____ the first term by the second.addratiodividesubtract Q 5: The value of 425:750 in the lowest terms_____.12 : 2124 : 1530 : 1717 : 30 Q 6: 6ab2:9b2c when expressed in lowest terms is ______.3c : 2a6a : 4b3a : 4c2a : 3c Q 7: In two quantities expressed in the same units are compared by division, the result obtained is called _______.sumratiodivisionproduct Q 8: If x and y are two numbers (y not equal to 0) the ratio x to y is represented as _____.a : by : xx : yx : a Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!