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# Maths Revision: Ratios and Rates

A revision about ratios and rates.

by

Tweet## Tiffany Chin

on 1 October 2012#### Transcript of Maths Revision: Ratios and Rates

Ratios Ratios and Rates A comparison between 2/more quantities of the same kind Ratios can be shown as... 1:1 Ratio Form

1 to 1 Word Form

1/1 Fraction Form

1:n/m:1 Unit Ratio Please do not copy! Equivalent Ratios Ratios with the same meaning Simplify

e.g.

2:4 1:2 1/2 2/4 Prime Factorization Unit Ratio Ratios with a denominator to 1

(Simplify) A:B/A 1:B/A 1:n

A:B/B 1:B/A m:1 Conversion of A and B Comparing Ratios Change order to unit ratio e.g.

Which class has the highest BOYS:GIRLS ratio?

Class 1 Class 2 Class 3

2:3 3:4 1:5 1. Compare your question to ratio given If same order, m:1

e.g. Highest B:G If not, 1:n

e.g. Lowest G:B 2. Convert

3. Order Use m:1 Class 1 Class 2 Class 3

2/3:1= 0.6: 1 3/4:1=0.75:1 1/5:1=0.2:1 Class 2 Class 1 Class 3 4. Choose your answer Highest B:G Ratio Multiply Method 1: Find the Unknown

e.g. Solve for Unknown

3:4=a:8

=6:8

a=6

Method 2: Fractions

e.g.

3:4=c:10

10x3/4=c/28.5x10

30/4=c

7.5=c Find A:B:C from A:B/B:C Cross Product

e.g.

A:B=4:3

B:C=7:5 4 : 3

7 : 5

28:21:15 Multiply as follow Line up common value Rearrange and simplify as needed Modeling Using Ratios e.g. 250 ml lemon juice, how

much water:lemonade? Water=5/6

Juice=1/6 250x5/6

250x1/6 yield 6

208:42 Ratios with Total e.g. Jim:Steve

4:3=7 Total:420 420/7x3=S

180=S

420-180=J

240=J

240:180 Rates A specific type of ratio that measures changes using different units Unit Rate: Used for comparison (Rate per 1 unit) Unit/$ or $/Unit

Full transcript1 to 1 Word Form

1/1 Fraction Form

1:n/m:1 Unit Ratio Please do not copy! Equivalent Ratios Ratios with the same meaning Simplify

e.g.

2:4 1:2 1/2 2/4 Prime Factorization Unit Ratio Ratios with a denominator to 1

(Simplify) A:B/A 1:B/A 1:n

A:B/B 1:B/A m:1 Conversion of A and B Comparing Ratios Change order to unit ratio e.g.

Which class has the highest BOYS:GIRLS ratio?

Class 1 Class 2 Class 3

2:3 3:4 1:5 1. Compare your question to ratio given If same order, m:1

e.g. Highest B:G If not, 1:n

e.g. Lowest G:B 2. Convert

3. Order Use m:1 Class 1 Class 2 Class 3

2/3:1= 0.6: 1 3/4:1=0.75:1 1/5:1=0.2:1 Class 2 Class 1 Class 3 4. Choose your answer Highest B:G Ratio Multiply Method 1: Find the Unknown

e.g. Solve for Unknown

3:4=a:8

=6:8

a=6

Method 2: Fractions

e.g.

3:4=c:10

10x3/4=c/28.5x10

30/4=c

7.5=c Find A:B:C from A:B/B:C Cross Product

e.g.

A:B=4:3

B:C=7:5 4 : 3

7 : 5

28:21:15 Multiply as follow Line up common value Rearrange and simplify as needed Modeling Using Ratios e.g. 250 ml lemon juice, how

much water:lemonade? Water=5/6

Juice=1/6 250x5/6

250x1/6 yield 6

208:42 Ratios with Total e.g. Jim:Steve

4:3=7 Total:420 420/7x3=S

180=S

420-180=J

240=J

240:180 Rates A specific type of ratio that measures changes using different units Unit Rate: Used for comparison (Rate per 1 unit) Unit/$ or $/Unit