½ ¾ chris clements fractions ordering fractions ¼
TRANSCRIPT
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¾ Chris Clements
Fractions
Ordering Fractions
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Learning Objective:
LO: I can order fractions .
Ordering fractions
Ordering fractions would be easy if the denominators were always the
same.
But often the numerators and denominators digits are different.
82
85
81
87
83
81
82
83
85
87
Now, if you are asked to order this set of fractions from smallest to biggest things can
look a little more complicated.
82
85
81
87
83
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83
21
87
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Why can we not order these fraction by the size of the numerator.
8121
8341
8243
8583
8787
We could order them by using fractions of shapes;
82
85 8
1
87 8
343
83 2
1
87 4
187
41
43
87
83
83
21
87
4187
41
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When we started this lesson we established that we could not order fractions by using the values of the
numerator. This would be possible though if we found equivalent fractions to make all the denominators the
same.In this example it is possible to make each denominator
equal to 8. Can you see how?
87
83
83
84
87
4187
82
86
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Let’s have a look at another question;
Oder these fractions from smallest to biggest values?
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The first step to success is to find a common denominator. What do you think this means?By using our understanding of multiples you can see that 2, 4, 5 and 10 are common multiples of 20.
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We now know that we can make each of the denominators equal to 20.
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This brings us to our 2nd step to success. Convert the fractions so that they all of them have a common denominator.Remember when multiplying a fraction: Multiply the numerator by the same number as the denominator.
2016
2010
2014
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x4 x10 x2 x5
Onto the final step to success; order the fractions from smallest to biggest.
2016
2010
2014
205
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2016
2010
2014
205
203
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21
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41
20354
21
107
41
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1) Find a common denominator2) Convert the fractions (remember to multiply
the numerator by the same number as the denominator).
3) Order fractions
Fractions of shape
Steps to success
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1) 8 would be a common
denominator21
83
X 2 X 4
86
84
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2) Convert fractions
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21
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3) Order fraction
s
Activity
<type here>
Plenary
Order these fractions from smallest to biggest;
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107
41
203
2017
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109
43
Which fraction is largest?
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Explain your answer.
41
203
156
155
21
107
41
203
109
43
2017
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