1. 2.6 Ratios, Rates, and Conversions
I can find ratios and rates and convert units and rates.

2. Ratio Compares two numbers by division Can be written 3 ways
𝑎 𝑏
a:b
a to b
For every a units of one quantity, you have b units of another quantity.
Ex: if the ratio of boys to girls in a class is 2:1, then the number of boys is two times the number of girls

3. Rate A ratio that compares quantities measured with different units
A rate with a denominator of 1 is called a unit rate
per 1 unit of measurement.

4. Comparing Unit Rates Write each price as a ratio.
Then write each unit rate.
Store C offers the best deal because it has the smaller unit rate.

5. Converting Units Multiply by the conversion factor
A ratio of two equivalent measures in different units.
Ex: 12 𝑖𝑛 1 𝑓𝑡
Write the conversion factor so that desired units are in the numerator and original units are in the denominator.

6. Practice 330 min; hours 330 𝑚𝑖𝑛∙ 1 ℎ 60 𝑚𝑖𝑛 Divide out common units
Simplify
330 ℎ 60 =5.5 ℎ

7. You try!
15 kg; grams
5 ft 3 in; inches
1250 cm; meters

8. Unit Analysis
Notice that units for each quantity are included in the calculations to help determine units for the answer.
Also called dimensional analysis

9. Converting Rates
Because rates involve two different units, you must multiply by two conversion factors.
Ex: converting miles per hour to feet per second.

10. You try!
A student ran the 50 yd dash in 5.8 s. At what speed did the student run in miles per hour? round to the tenth.
17.6 mi/h

11. Assignment
ODDS ONLY
P.119 #11-21,25-29,35,39