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Dividing Fractions Using Pictures!. First, you have to start with ½ of one whole…. ½½. 1/2. Now we divide our whole into fourths. How many ¼ are in ½ of our whole?. 2!!!. What about mixed numbers…. Start by drawing 1 ¾. Let’s try. (1 whole= 4/4)(3/4). - PowerPoint PPT Presentation
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Dividing Fractions Using Pictures!
First, you have to start with ½ of one whole…
1 1
2 4
½½
1/2
Now we divide our whole into fourths
1 1
2 4
1
4
1
4
1
4
1
4
How many ¼ are in ½ of our whole?
2!!!
What about mixed numbers… Let’s try 3 3
14 8
Start by drawing 1 ¾
(1 whole= 4/4) (3/4)
Now let’s divide our picture into eighths
3 314 8
(1 whole= 8/8) (3/4= 6/8)
Now let’s see how many groups of 3/8 we can get from the shaded part (1 ¾)
3 314 8
So we got 4 full groups of 3 and 2 out of the 3 we needed left over… 2
43
But what if the first denominator is larger? Let’s try 5 1
9 3
Go ahead and draw the first fraction…
Since we can’t split our 9ths into 3rds, we will make our second fraction have a common denominator of 9.
5 1
9 3 3 3
3 9
Now let’s see how many sets of 3/9 we can get out of our shaded area (5/9)
5 3
9 9
We have one full set of 3 and 2/3 of another set…
213
Now you try!Draw3 3
4 8
Did you start out with this?
Did you divide into 8ths?
Did you find how many groups of 3 you could make?
2!
Let’s try another…
Draw 1 322 8
Did your picture turn out like mine?
1 322 8
1 2 3 4 5 6 2/3263
Our answer=