Understanding Fractions

Don’t be afraid of fractions.  Fractions are nothing more than a piece of a whole number. For example, if you baked a birthday cake and you were expecting 10 people to come, but an 11th person showed up would you back an entirely new cake? No, you would take that cake and cut it into smaller pieces. A fraction is a piece of the whole number, each piece of the cake when added together creates the whole cake, the whole number.

Fractions are a piece of cake!

Let’s look at an example.

So now I want to show you how to use a dollar to turn fractions into decimals to make it easier. So let’s look. A dollar is represented as 1.00. Do we need the zeros? No, the zeros just it means there is no change. How much of a percentage is one dollar? Well if we move the spaces over by two places to the right we get 100%.

Now, let me show you how I am going to break this dollar into factions and how I am going to turn those fractions into percents.

I am going to break the dollar into 4ths. Because we know that there are four 25-cent pieces in a dollar or in other words, 4 quarters make up a dollar. Right? so,  we have…

Each one is also represented as a fourth because there are four pieces.

If you had just one piece, you’d have one-fourth or .25. If you have 2-pieces, you’d have .25 and/plus .25 or .5 which is half a dollar, or 50%.

No, if you have three-fourths, then you would have .25 added three times, which is .75 which as a percent moved over three times that would be 75%. And the same with the whole dollar.

Now let’s say you had three friends and you wanted to divide the dollar evenly among you and your friends. So, each would be .33 cents. Also written as ⅓. What happened to that extra penny?  I will show you where that extra penny goes.

Shows you division of 1 divided by 3. The three is repeated… Remember the rule for rounding. Fi it is less that 5 we round down. This is why we get .33.

Next, 2 divided by 3.

Now let’s take all of your money and add them all up.