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ProportionsThis lesson will help you identify proportions when given two ratios.Definition: When two ratios are equal, we say that they form a proportion. Look at the following two ratios: 3/5 and 6/7 Do they form a proportion? You can tell if two ratios are equal by comparing their cross products. If the cross products are equal, then they form a proportion. Recall that a cross product is obtained when you multiply the numerator of one fraction by the denominator of another fraction. The cross products for 3/5 and 6/7 are 3 times 7 = 21 and 5 times 6 = 30 21 is not equal to 30. Therefore, 3/5 and 6/7 do not form a proportion. Another example: Do 10/16 and 5/8 form a proportion? 10 times 8 = 80 and 16 times 5 = 80 80 is equal to 80, therefore, they form a proportion. Notice also that 10/16 and 5/8 are equivalent fractions. In general, if two fractions are equivalents, they form a proportion Fun math game: Destroy numbered balls by adding to 10
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