½ ¾ Chris Clements Fractions Ordering Fractions ¼.

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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

43

83

21

87

41

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

43

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?

21

107

41

203

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.

21

107

41

203

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

205

203

x4 x10 x2 x5

Onto the final step to success; order the fractions from smallest to biggest.

2016

2010

2014

205

203

2016

2010

2014

205

203

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21

107

41

20354

21

107

41

203

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

83

2) Convert fractions

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21

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3) Order fraction

s

Activity

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Plenary

Order these fractions from smallest to biggest;

21

107

41

203

2017

53

109

43

Which fraction is largest?

41

20352

31

Explain your answer.

41

203

156

155

21

107

41

203

109

43

2017

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