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Simplifying Ratios with Unlike Units Using Conversion Factors

This guide provides a clear explanation of how to simplify ratios that include unlike units. By using conversion factors, you can effectively rewrite ratios in a more manageable format. The process involves canceling out the units and simplifying the numerical values. We will explore examples such as simplifying a ratio of yards to yards and centimeters to meters. Practicing these techniques will enhance your understanding and ability to work with different units in ratios.

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Simplifying Ratios with Unlike Units Using Conversion Factors

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  1. 5 ft 5 ft 5 ft 20 in. 20 in. 20 in. b. a. 64 m : 6 m 64 m 64 m Write 64 m : 6 mas . 6 m 6 m a. 3 32 1 3 = = 32 : 3 To simplify a ratio with unlike units, multiply by a conversion factor. b. 60 12 in. 20 1 ft = = = EXAMPLE 1 Simplify ratios Simplify the ratio. SOLUTION Then divide out the units and simplify.

  2. 24 24 3 3 Write 24 yards : 3 yards as 8 1 = = 8 : 1 for Example 1 GUIDED PRACTICE Simplify the ratio. 1. 24 yardsto 3 yards SOLUTION Then divide out the units and simplify.

  3. 150 6 1 4 150cm 1m = = 6m 100cm for Example 1 GUIDED PRACTICE Simplify the ratio. 2. 150 cm : 6 m SOLUTION To simplify a ratio with unlike units, multiply by a conversion factors. = 1 : 4

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