โš–๏ธ Ratios & Proportional Relationships
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Ratios and Unit Rates

Compare quantities and find the rate per one unit.

A ratio is a comparison of two quantities by division. Ratios can be written three ways: as a fraction, with a colon, or with the word "to." A unit rate is a special ratio where the second quantity is 1. Unit rates make it easy to compare different situations.

Three Ways to Write a Ratio

3/5 (fraction form)3:5 (colon form)3 to 5 (word form)

Unit Rate

Second quantity is always 1$2.50 per 1 apple โ†’ $2.50/apple60 miles per 1 hour โ†’ 60 mph

To find a unit rate, divide both quantities by the second quantity.

๐Ÿš—Finding a Unit Rate
A car travels 240 miles in 4 hours. Unit rate = 240 รท 4 = 60 miles per hour. Now you can find any distance: 7 hours ร— 60 mph = 420 miles.
Unitย Rate=quantity1ย unit\text{Unit Rate} = \frac{\text{quantity}}{1 \text{ unit}}
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Remember This!

When comparing two deals (like price per ounce), convert both to unit rates before comparing. The smaller unit price is the better deal.

โœ๏ธ Try It!

A store sells 5 notebooks for $7.50. What is the unit price per notebook?

Take Quiz ๐Ÿ“ โ€” 25 Questions