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Ratios & Rates

Ratios & Rates. Ratios & Rates. What is a ratio? A ratio is the comparison between two quantities Have we studied anything that would be considered a ratio? Fractions are ratios. Fractions compare two quantities.

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Ratios & Rates

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  1. Ratios & Rates

  2. Ratios & Rates What is a ratio? A ratio is the comparison between two quantities Have we studied anything that would be considered a ratio? Fractions are ratios. Fractions compare two quantities. That's why numbers that can be written in fraction formare called rational numbers

  3. Ratios & Rates Fraction "to" "out of" Colon What do ratios look like? A ratio can be written in the following forms…

  4. Ratios & Rates What is a rate? A rate is a ratio that compares quantities ofdifferent types of measure. What are different types of measure? Different types of measure are measuresthat measure different types of things.

  5. Ratios & Rates Examples of Different Types of Measures feet and minutes are different types of measures. ft measures a distance or length min measures time How many feet are in a minute?How many minutes are in a foot? We can't answer these questions, the units are not the same type of measurement.

  6. Ratios & Rates Examples of the Same Type of Measurement gallons and quarts are the same type of measurement. gal measure a liquid capacity qt measure a liquid capacity How many gallons in a quart?How many qt in a gal? We can answer these questions, the units can be converted to each other. Though, its probably easiest to convert quarts to gallons.

  7. Ratios & Rates Are the following pairs of units thesame type or different types? ft & mi yd & s $ & cents $ & h cm & m in & lb gal & mi The circled pairs are the same type of units.

  8. Ratios & Rates Fraction "per" What do rates look like? A rate can be written in the following forms…

  9. Ratios & Rates Which are rates, which are just ratios? The circled pairs are the rates.

  10. Ratios & Rates Simplifying Ratios & Rates Many times we need to simplify ratios and rates. How do you simplify a ratio? Since a ratio can be written as a fraction,and since we reduce to simplify a fraction,we will also reduce in order to simplify a ratio.

  11. Ratios & Rates Simplifying Ratios 1. Write the ratio as a fraction 2. Reduce

  12. Ratios & Rates Simplifying Ratios 1. Write the ratio as a fraction 2. Reduce

  13. Ratios & Rates Simplifying Ratios 1. Write the ratio as a fraction 2. Reduce Sometimes, we make sure the units are the same!

  14. Ratios & Rates Simplifying Ratios & Rates How do you simplify a rate? Since a rate is a ratio, you can simplify a rateas it was a ratio – reduce.

  15. Ratios & Rates Simplifying Rates 1. Write the rate as a fraction 2. Reduce

  16. Ratios & Rates Simplifying Ratios & Rates How do you simplify a rate? Since a rate is a ratio, you can simplify a rateas it was a ratio – reduce. A rate can also be simplified by writing it as a unit rate.

  17. Ratios & Rates What is a unit rate? A unit rate is a rate that is written in terms of 1 unit. A unit rate is a rate whose denominator is 1 unit. The following are unit rates…

  18. Ratios & Rates How do you write a rate as a unit rate? Writing a unit rate is quite simple. Remember, a fraction is a division problem. To get 1 in the denominator, we simply divide. Divide the numerator by the denominator.

  19. Ratios & Rates Writing a unit rate 1. Write the ratio as a fraction 2. Divide numerator by denominator

  20. Ratios & Rates Writing a unit rate 1. Write the ratio as a fraction 2. Divide numerator by denominator

  21. Ratios & Rates Writing a unit rate 1. Write the ratio as a fraction 2. Divide numerator by denominator

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