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Fractions: What are they

Mr. Madden. Let's understand a fraction.

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Fractions: What are they

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

    2. Mr. Madden Let’s understand a fraction ¾

    3. Mr. Madden Let’s check this out 5 6

    4. Mr. Madden HOT STUFF !!!

    5. Mr. Madden HOT STUFF !!!

    6. Mr. Madden HOT Pepperonis !!!

    7. Mr. Madden Oh mushrooms, no, try again !!!

    8. Mr. Madden Whoops, darn, shucks…

    9. Mr. Madden Try this one 7 10

    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?

    11. Mr. Madden Nope, try again!

    12. Mr. Madden Bingo! 4 is correct!

    13. 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:

    14. Mr. Madden Yep, because 88 divided four equal ways is 22.

    15. 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?

    16. Mr. Madden Nicely done! 3 equal parts

    17. 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?

    18. Mr. Madden Absolutely right, because 22 multiplied by 3 is 66. Good work!

    19. 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!

    20. Mr. Madden Well, what if you ordered 7 slices, or pieces? How many pizzas would you have now?

    21. 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)?

    22. Mr. Madden Mixed Numbers Well, we have a whole pizza (1) and a fraction of another pizza (1/6). Let’s put them together.

    23. Mr. Madden How many red squares are shown?

    24. 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.”

    25. Mr. Madden

    26. 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.)

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

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