Understanding Proportions Notes
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Understanding Proportions Notes
Proportion Basics
A ratio compares two values, such as 3:5 or 3/5. A proportion is an equation stating that two ratios are equivalent. For instance, 3/4 = 6/8 is a proportion because both ratios have the same value.
- An equation showing that two ratios are equivalent
- A comparison of three or more quantities
- A multiplication problem with equal factors
- A ratio with a missing number
Testing Ratios with Cross-Multiplication
To test whether a/b = c/d, compare the cross-products a × d and b × c. If they are equal, the ratios form a proportion.
- 2/7 and 4/14
- 3/8 and 9/20
- 5/6 and 10/18
- 4/9 and 8/27
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