I juggled Granny’s china teacups…..once! © Mike’s Math Mall.
Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.
-
Upload
randolf-anthony -
Category
Documents
-
view
225 -
download
0
Transcript of Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.
![Page 1: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/1.jpg)
Fractio
nsLet’s
make
fractions
our
friends!
Now, let’snot get all crazy
with this “friend” stuff,Mr. Sunshine.
© Mike’s Math Mall
Multiply
ingPowerPoint
![Page 2: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/2.jpg)
Introduction
Multiplying
Fractions
Hi! Myname is SparkyO’Flannagan!
Psst…it’s not that kind of introduction,
Sparky!Oops!
My bad!
![Page 3: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/3.jpg)
No, sir!I would call itsuper-duper fantabulous,
news!
Iwouldn’t
call that good news!
Multiplying FractionsI know you’re not a big fan of fractions,
Sparky, but I have some good news when it comes to multiplying them.
“Good news”and “fractions” all inthe same sentence?
Impossible!
What if I told you that when we multiply fractions, we don’t have to worry about
making common denominators?
Really? I knew you’dcome around!
![Page 4: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/4.jpg)
Multiplying Fractions 101
When we multiply fractions,we use the multiplication symbol:
×
A raised dot: ∙
Or parenthesis:
![Page 5: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/5.jpg)
Multiplying Fractions 101
Some terms you need to know:
numeratordenominator
Simplify – reduce a fraction to its simplest form using the GCF (greatest common factor)
The GCF of is 4.
Example:
Use the GCF toreduce the fraction!
![Page 6: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/6.jpg)
Multiplying Fractions 101Practice changing improper
fractions into mixed numbers.
𝟏𝟏𝟐𝟓
−𝟏𝟎
𝐫
𝟏
𝟏
Now you try some!
Write 5 with the remainder 1 over
the denominator 2: →
1) 2) 3)
Mixed Number – a whole number combined with a fraction. →
Improper Fraction – a fraction with a numerator larger than the denominator.
![Page 7: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/7.jpg)
Multiplying Fractions 101Practice changing mixed numbers
into improper fractions.
𝟒×𝟑+𝟐𝐨𝐯𝐞𝐫𝟑
Take the whole number times the denominator, add the numerator, and
place over the denominator.
Give it a try!
1) 2) 3)
![Page 8: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/8.jpg)
MultiplyingProper
Fractions
Part 1
![Page 9: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/9.jpg)
Example 1:
To multiply fractions:
Always check to be sure
the product is simplified! is simplified!
I’m findingthis somewhat
interesting. Continue,please!
Multiplying Fractions
![Page 10: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/10.jpg)
Multiplying Fractions
Example 2: Example 3:
Don’t forget to simplify!
Change to a mixed number!
![Page 11: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/11.jpg)
Multiply the following fractions.
Time to Show Your Stuff!
1)
2)
3)
4)
![Page 12: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/12.jpg)
So theanswer is already
simplified?
Crafty Cross-Cancelling
Now, let’s look at a method called cross-cancelling, using a previous problem.
Step 1: Look at the numbers across from each other (diagonal numbers).
Step 2: See if those numbers have a GCF > 1. If so, divide each number by that GCF.
What’s the GCF of 3 and 3? 3What’s the GCF of 2 and 8? 2
1
1
1
4
Yep!
Sparkyapproves but needs
to see more!
![Page 13: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/13.jpg)
It makesthe fraction
numbers smaller and helps simplify
the answer!
Let’s do a side-by-side comparison to see how cross-cancelling makes multiplying fractions easier.
Crafty Cross-Cancelling
Standard Method: Cross-cancel method:
1 3
4 4
You sound like a math teacher, Sparkles!I agree!
I hate to admit it, but
this cross-cancellingthingy is kinda
sweet!
This isnot going to
go over well withthe ladies!
![Page 14: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/14.jpg)
MultiplyingMixed
Numbers
Part 2
![Page 15: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/15.jpg)
Multiplying Mixed NumbersBefore we can multiply mixed
numbers, we need to change them into improper fractions.
Example 1:
![Page 16: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/16.jpg)
2
11
4
¿8This looks
like it might be agood time to use
some of that fancy cross-
cancelling!
Great idea, chief!
Multiplying Mixed NumbersExample 2:
I’m reallystarting to wig
out here!
What’s wrong, Sparkington?
All thisjunk is actually
starting to make sense!
But isn’t that a good thing?
I’mnot used to
things making sense…Need
air now!
We better practice!
![Page 17: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/17.jpg)
Show us how it’s Done!Multiply the following mixed numbers.
1)
2)
3)
¿11 1
1
1
7
2
3
![Page 18: Now, let’s not get all crazy with this “friend” stuff, Mr. Sunshine. © Mike’s Math Mall.](https://reader036.fdocuments.net/reader036/viewer/2022062407/56649da25503460f94a8f5b1/html5/thumbnails/18.jpg)
Fantastical!But I’m starting to get
a little worried.
BecauseI think I actually wanna start becoming friends
with fractions!
© Mike’s Math Mall
Multiplying FractionsSo, how did it go with the mixed
numbers, Sparky?
Oh, really?And why’s that?
That’s just weird, Mr. Sunshine!