Ratios


 

                                                                      What is a ratio?

 

 

 

 

Rotating Arrow RightThe main function of a ratio is to compare or relate numbers.

 

They are sometimes in the form of Fractions.

 

For example, 2/3 is a ratio. So is 2:3 and 2 to 3.  They all mean the same thing.

 

The first number(2) is called the antecedent and the second number(3) is called the

 

consequent.

 

If you add both the antecedent and the consequent you get the total number.

 

The total number is 5 (2+3).

 

 

 

Rotating Arrow RightYou can check the ratios in decimals.

 

 

                      For example: 2/5 or 2 divided by 5=0.4

 

                      The antecedent divided by the total number is part of the total number.

 

                      3/5 or 3 divided by 5=0.6

 

                      The consequent divided by the total number is the other part of the number.

 

                      So if you add 0.4 and 0.6 it equals 1, the total number.

 

Rotating Arrow RightYou can also do it in percentages

 

                     For example:40% + 60% = 100%

                      

             

                     Another example is of this picture:     

 

 

 

                      1. In the top left circle, there is a ratios of 1 to 2 of red shaded parts to white parts of the circle.

 

                          The total number is 3 because the circle is split into 3 parts.(or 1+2)

 

                      2. In the top right circle, there is a ratio of 1 to 1 of red shaded spots to white parts of the circle.

 

                            The total number is 2 because the circle is split into 2 parts.(or 1+1)

 

                      3. In the bottom circle, there is a ratio of 3 to 3 of green shaded spots to white parts of the circle.

 

                         The total number is 6 because the circle is split into 6 parts. (or 3+3)

 

 

Rotating Arrow RightIf you are doing a problem,THE ORDER MATTERS.

 

                        For example: The ratio of boys to girls in a class is 13:15

 

                        The number of boys in the class would be 13 since it is the first word of the ratio

 

                        in the problem. The number of girls would be 15 since it the second word of the

 

                        ratio in the problem.

 

                        If they asked what is the ratio of boys to the class then you would have to add

 

                        the boys and the girls and make it equal 13:28(13+15)

 

Rotating Arrow RightIf you are doing a problem that asks "of the 13:28 boys in a class how

 

many are boys in TMS are there?" heres how:

 

 

                     In a problem like this,they usually include how many people there are in all.

 

                     If there are a total of 900 students at TMS, then you ask how do I only find 

 

                     how many boys there are only with these two numbers.  It is actually quite simple .

 

                     All you do is multiply 13:28 and 900. 

 

                     So 13/28(900)=417.85 boys but we cannot have .85 boys so we round up to 418.

 

                     The answer would be about 418 boys at TMS.

 

  arrow right   CLICK AT THE LINK(S) BELOW TO LEARN MORE ABOUT RATIOS:

 

http://www.purplemath.com/modules/ratio.htm

 

http://www.mathleague.com/help/ratio/ratio.htm

 

http://www.math.com/school/subject1/lessons/S1U2L1GL.html