## Numerical Proportions

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#### Study Guide Numerical Proportions Mathematics, Grade 7

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NUMERICAL PROPORTIONS Numerical proportions compare two numbers. The numbers can have the same units such as a ratio or the numbers can have different units such as rates. A proportion is usually in the form of a:b or a/b. Ratios are used to compare objects, wins and losses, sides of a figure to its area and many more. Rates are used to compare miles per hour, words per minute, price per pound and many others. A unit rate is when the denominator of a proportion is one. Miles per hour is an example of a unit rate. When comparing different unit rates, a better buy decision can be made. A proportion equation is used when one ratio or rate is known and only part of another ratio or rate is known. There are 4 parts to a proportion and it can be solved when 3 of the 4 parts are known. Proportion equations can be used only when comparing equal proportions. Proportion equations can be used to make dimensional analysis in regards to photo enlargement, room dimensions, etc. How to use numerical proportions: A ratio is used to compare items with the same unit. For example, if School A won 18 out of 24 games, the ratio of winning games to total games would be 3/4. To compare this to School B that won 36 out of 48 games, the ratio would have to be found. The ratio of winning games to total games for School B is also 3/4. Therefore both schools have the same ratio of winning games to total games. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.