Proportion MaDe EaSY

What is Proportion?

Proportion is an equation with a ratio on each side.

It is a statement that two ratios are equal.

Here is an example of what a Proportion looks like:

3:6=4:8

USE:

When one of the four numbers is in a proportion is unknown, we can use cross multiplication the

find the unkown number. This is commonly called solving the proportion.

Example:

1/2 = G/4

Solve for G.

To solve for G we use cross multiplication:

1 G

_ x _

2 4

Therefore,

=1x4= Gx2

=4 = 2G

Now we must get rid of the "2" beside the "G" so that there are no factors for "G".

So we divide both sides by "2" (the number "G" is multilplied by)

4 = 2G

__ __

2 2

=2=G

The answer is G=2

RATIO made EAsY

WHAT is a Ratio?
A ratio is a comparison of two numbers.
Two numbers are generally seperated by a colon ":"

USE:

Suppose we want to write the ratio of 4 and 6.

We can write it as:

4:6

or as:

4/6

And we read it as " The ratio is 4 to 6".

Example:

Danny has a sack with 3 carrots, 4 cabbages, 7 tomatoes and 1 Raddish.

1) What is the ratio of tomatoes to carrots?


If expressed as a fraction then the quantity mentioned first will be the numerator and the quantity mentioned second will be the denominator.

Since the quantity of tomatoes was mentioned first our numerator is 7.
While the quantity of carrots was mentioned second so our denominator is 3.

Therefore the answer will be written like this:

Numerator<----- 7/3-----> Denominator

If expressed using the colon ":"
The answer will be written like this:

7:3

Another way to express the answer is simply writing it like this:

The ratio is 7 to 3.

2) What is the Ratio of cabbages to the total number of items in the sack?

To get the answer we must first know the quantity of the cabbages.

There are 4 cabbages.

Since we need the TOTAL number of items in the sack, we add all the vegetables in the sack including the cabbages.

4 cabbages
3 carrots
7 tomatoes
+ 1 Radish
______________
15 Total Vegetables

Lets go back to the question # 2:

2) What is the ratio of cabbages to the total number of items in the sack?

There are 4 cabbages and 15 total number of items in the sack

The answer may be written as any of the following:

3 to 15


3:15


3/15

Notes to live by:

X:Y is not the same as Y:X...CHEERS!

For Starters...

Allow me to begin by saying this... Math CAN be difficult BUT it can also be EASY! So because of a math project given by a teacher who goes by the name of Sir Jerr, I have to make a blog about ( DRUM ROLL please) ......................Ratio and Proportion! I will be back in a few days to talk about it... I need to research about it first!