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Section 1 - Ratio and Proportion

Page history last edited by PBworks 16 years, 3 months ago

 

 

Chapter 4.1 Ratio and Proportion

 

Example 1- Using Unit Rate!

 

Ratio-comparison of two numbers by division

      a/b    a:b    a to b

 

Use simplest form!

ex.  12/3  = 4/1

 

Rate- quantities are measured in different units

 

  Unit rate- denominator is 1

 

Example 2- Converting Rates!

 

ex. convert to feet/minutes

 

24 inches in 180 seconds

      eq=\frac{24in}{180s}=\frac{x ft}{12in}=\frac{60s}{x min}

Cross Multiply and Divide Common Units

 

Example 3- Multiplication Property of Equality!

 

Proportion- Two equal ratios

 

Multiply by the least common multiple

 

ex.

     eq=\frac{a}{5}*5=\frac{2}{10}*5

        eq=
a=1
 
 
Example 4- Using Cross Products!
 
To solve a proportion cross multiply.
 
           eq=\frac{a}{b}=\frac{c}{d}
   
       (a*d and b*c)
 

ex.

       eq=\frac{a}{12}=\frac{4}{8}
  

  (a*8 and 12*4) 

       eq=\frac{8a}{8}=\frac{48}{8}

           eq=a=6
 
 
Example 5- Multi-Step Proportions!
 
ex.
        eq=\frac{x+4}{5}=\frac{x-2}{7}
       eq=7(x+4)=5(x-2)
Use Distributive Property.
      eq=7x+28=5x-10
Solve like a regular Multi-Step Equation.

     eq=2x+28=-10

     eq=2x=-38

     eq=x=-19

 
 
 
 

 

 

 

 

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