4½ 4¾ chris clements fractions converting improper fractions into mixed numbers 6½ 15 8 8 3
TRANSCRIPT
4½
4¾ Chris Clements
Fractions
Converting Improper Fractions into Mixed Numbers
6½
158
83
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Learning Objective:
LO: I can convert improper fractions into mixed
numbers.
What is a proper fraction?
In a proper fraction the numerator is less than the denominator
14
23
45
310
38
What do you think an improper fraction is?
An improper fraction is where the numerator is more than the
denominator.
74
83
225
1310
158
Here are some examples of improper fractions.
These fractions are also called Top Heavy
Fractions.
Do you know what mixed numbers are? A mixed number is a whole
number and a proper fraction.
Whole numbers are counting numbers like 1,2,3...
A proper fraction is when the numerator is less than the
denominator 14
13
4531 1 Are examples
ofmixed numbers
In this lesson we will learn to convert improper fractions into
mixed numbers. In each of these shapes what is the value of
each square? Give your answer has a fraction.
How many sixths are there altogether?
176
What is the mixed
number?
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
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6
1
6
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6
16
1
6
1
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1
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1
6
1
6
1
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1
6
1
6
1
6
1
6
1
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1
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1
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1
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6
1) Step to success is to find how much of the improper fraction is whole
or176
So how can we convert improper
fractions into mixed number?
562
1
6
1
6
A good way to do this is to turn the improper fraction into a division sum.
176 17 ÷
6
Remember you are always going to get a remainder if the improper
fraction can convert into a mixed number.
Now we know how many whole numbers are in the mixed number.
17 ÷ 6
Step 2: Carry out the calculation
17 ÷ 6 = 2 r5
5What was the remainder?
What was the denominator in the improper fraction?
656
176
562=
Step 3: Find the proper fraction
Let’s have a look at converting more improper fractions into mixed numbers.
13 ÷ 3 = 4r 1
133
134=
37 ÷ 5 = 7 r2
375
257=
29 ÷ 4 = 7 r1
294
147=
25 ÷ 8 = 3 r1
258
183=
Step 1) Change the improper fraction into a division sum
Step 2) Carry out the calculation
Step 3) Find the proper fraction
Fractions of shape
Steps to success
17 ÷ 6 =
17 ÷ 6 = 2 r5
56
176
562==
Activity
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Plenary
Order these fractions from smallest to biggest.
Order these fractions from biggest to smallest.
76 132 31 43 561
154
341 1
22 72
142
1322 4
3561
341 1
22 72
142