Ratios.

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Presentation transcript:

Ratios

Ratio? Ratio is a way of comparing two or more quantities Examples: Number of oranges to apples Number of girls in a class compared to boys Ratio?

There are 3 ways to express ratios: As a fraction - ¾ Using a colon - 3:4 Using the word “to” - 3 to 4

What is the ratio of cats to mice? Number of Cats: 3 Number of Mice: 6 Express the ratio as a fraction: 3 to 6 Express the ratio in words: Express the ratio with a colon: 3:6

2001 Spring Training List the wins to losses by the Cubs : 17 to 14 Team Wins Losses S.D. Padres 16 11 L.A. Dodgers 18 13 Chicago Cubs 17 14 List the wins to losses by the Cubs : 17 to 14 List the losses to wins by the Padres: 11/16 List the Dodgers wins to total games: 18 : 31

Ratio Example Problems RED & BLUE Smarties Blue : Red 6 : 3 Which symplifies to 2 : 1 6 BLUE 3 RED “The Ratio of BLUE to RED Smarties is 6 to 3 “The Ratio of BLUE to RED Smarties is 6

…. Or… We can compare Red to Blue Smarties! RED & BLUE Smarties Red : Blue 3 : 6 “For every RED Smartie, there are 2 BLUES” 1 : 2 6 BLUE 3 RED “The Ratio of RED to BLUE Smarties is 3 to 6” “The Ratio of RED to BLUE Smarties is 1:2”

Simplifying Ratios In the Smarties example, we changed 6:3 to 2:1 This is called Simplifying a ratio We did it by dividing each number by 3 3 was the largest common factor Simplifying Ratios

Try to simplify these 8:2 18:3 4:8 5:25 5:2 4:1 6:1 1:2 1:5 5:2 !!

Practice With Equivalent Ratios Equivalent ratios make the same comparison. Find an equivalent ratio by simplifying: # 1  Divide by 30 # 2  Divide by 3 # 3  Divide by 25

Practice With Equivalent Ratios Fill in the blank to make an equivalent ratio: # 4  Multiply by 5 ? # 5 ?  Multiply by 10 # 6  Divide by 2 ?

Sharing an amount in a given ratio “Bart and Maggie share a bag of 16 life savers with the ratio of 3:1” This means “for every 3 life savers Bart gets, Maggie gets 1” 4 Lifesavers for Maggie 12 Lifesavers for Bart

Practice: Ratios worksheet