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½ ¾ Chris Clements Fractions Ordering Fractions ¼

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Learning Objective: LO: I can order fractions.

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Ordering fractions Ordering fractions would be easy if the denominators were always the same. But often the numerators and denominators digits are different

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Now, if you are asked to order this set of fractions from smallest to biggest things can look a little more complicated Why can we not order these fraction by the size of the numerator

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We could order them by using fractions of shapes;

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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?

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5 4 Let’s have a look at another question; Oder these fractions from smallest to biggest values? 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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5 4 We now know that we can make each of the denominators equal to This brings us to our 2 nd 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 x4x10x2x5

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

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1) Find a common denominator 2) Convert the fractions (remember to multiply the numerator by the same number as the denominator). 3) Order fractions Fractions of shape Steps to success 4 3 1) 8 would be a common denominator X 2 X ) Convert fractions ) Order fractions

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Activity

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Plenary Order these fractions from smallest to biggest; Which fraction is largest? Explain your answer

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