Mr. Madden Fractions: What are they? We’ll learn about:  Fractions of whole numbers Fractions of whole numbers  Mixed Numbers Mixed Numbers

Mr. Madden Let’s understand a fraction ¾ The top number (numerator) tells HOW MANY parts of the whole object we have The bottom number (denominator) tells HOW MANY parts the whole object is divided into.

Mr. Madden Let’s check this out 5656 Pretend you are at a party and you get to have 5/6 of a tasty pizza. Which picture shows how many parts it should be divided into?

Mr. Madden HOT STUFF !!! 5656 Yes, the bottom number (denominator) tells us it Is divided into 6 parts.

Mr. Madden HOT STUFF !!! 5656 Now, how many parts do you get? Click on the arrow. ??

Mr. Madden HOT Pepperonis !!! 5656 The top number (numerator) tells us how many we get. 5 On to Bigger and Better

Mr. Madden Oh mushrooms, no, try again !!! 5656 The top number (numerator) tells us how many parts we get. 5NO! Try again

Mr. Madden Whoops, darn, shucks… The bottom number (denominator) tells us it is divided into 6 parts. Hint: Divided and Denominator both start with D, and so does the word Down, like Down under Try Again

Mr. Madden Try this one 7 10

Mr. Madden Finding fractions of whole numbers To find a fraction of a whole number, first divide the number into equal parts.  A class predicts that ¾ of 88 piano keys are ivory. First divide the 88 keys into how many equal parts? 43 12

Mr. Madden Nope, try again! Go again

Mr. Madden Bingo! 4 is correct! Okay! Let’s move on.

Mr. Madden Now that you’ve got 88 keys divided into 4 equal groups, you need to find how many keys will belong to each group. Will there be:

Mr. Madden Yep, because 88 divided four equal ways is 22. Don’t stop now!

Mr. Madden Okay, now we know that if we take the 88 keys and break them up into 4 equal groups, we’ll have 4 groups of 22 keys. But if we want to find ¾ of 88 keys, how many groups do we consider? 34 12

Mr. Madden Nicely done! 3 equal parts Now what?

Mr. Madden The answer to “What is ¾ of 88?” is the total number of keys in the 3 groups of 22. What’s the total?

Mr. Madden Absolutely right, because 22 multiplied by 3 is 66. Good work! What about Mixed Numbers?

Mr. Madden Mixed Numbers  When a part is more than a whole, you can describe it two ways :  Fraction If the pizza is divided into six equal pieces, then each piece is 1/6 of the pizza, right? Right! Check it out!

Mr. Madden Well, what if you ordered 7 slices, or pieces? How many pizzas would you have now? 6/6, or one whole1/6, or one-sixth and 7/ /6

Mr. Madden Improper Fractions Nicely done! Yes, if you have a total of seven pieces of pizza, and each is 1/6 of the whole, then you have 7/6 pizzas! But doesn’t it look strange, or improper, to have the numerator (7) larger than the denominator (6)? So what do we do?

Mr. Madden Mixed Numbers Well, we have a whole pizza (1) and a fraction of another pizza (1/6). Let’s put them together. Now we have one and one-sixth pizzas. We write this 1 1/6. Try this!

Mr. Madden How many red squares are shown? 33 1/44

Mr. Madden You got it square on the target! Since three whole squares (3), and one-fourth (1/4) of another square are red, then there are 3 + 1/4 red squares, but we don’t use the “+” sign. Just write “3 1/4.” Give it a shot

Mr. Madden Your big cousin, Ernie, and you have a pizzafest. You buy 7 pizzas, and eat for hours. Below is what you didn’t eat. How much pizza is left? 17/62 5/66/17

Mr. Madden I’m surprised you can move! Yep! You and Ernie still have 17/6, or 2 5/6 pizzas left to chow on. (Maybe you should save them for breakfast.) Good job!!

Mr. Madden Thanks for being a part of the Mad, Mad, Madden world of Mathematics!!! The End