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Notes 3.6 – Ratios and Proportions. 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.
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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 )
