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##### Notes 3.6 – Ratios and Proportions

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**Ratios**RATIO COMPARISON A ________ is a _____________ of two like quantities using _________. Ratios can be written ____ different ways. For example, 2 compared to 7 as a ratio can be written DIVISION**RATIONAL**FRACTION A ___________ number is any number that can be written as __________in which the denominator is not ______. We always want to express our ratios in their _________ terms. However, if 1 is in the denominator, we leave it there. ZERO LOWEST**Example: Joey made 5 shots for every 8 he attempted in the**last game. A.) What was Joey’s ratio of shots made to shots attempted? B.) What was Joey’s ratio of shots made to shots missed?**C.) What was Joey’s ratio of shots missed to shots**attempted? D.) How many shots would Joey likely make if he attempts 24 shots?**Proportions**EQUATION EQUAL A proportion is an ___________ stating two or more ratios are _______. In a proportion, the _________________ are equal. CROSS PRODUCTS Example: is a proportion and ______ = _____. 2 and 15 are called the _____________. 3 and 10 are called the ________. EXTREMES MEANS**Property of Proportions: Two ratios are equal if and only**if the cross products are equal. (The product of the MEANS = the product of the EXTREMES) if and only if ad = bc ( b 0 and d 0 )