2LO: I can order fractions . <date>Learning Objective:LO: I can order fractions .
3But often the numerators and denominators digits are different. Ordering fractionsOrdering fractions would be easy if the denominators were always the same.82818582818385878387But often the numerators and denominators digits are different.
4Why can we not order these fraction by the size of the numerator. 43828385812187874183Now, 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.21814183438283858787
5We could order them by using fractions of shapes; 41438281218741838583438787
6When 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?418321878743838741828384868787418387
74 1 7 1 3 5 2 10 4 20 Let’s have a look at another question; Oder these fractions from smallest to biggest values?417135210420The 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.
8We now know that we can make each of the denominators equal to 20. 417135210420x4x10x2x5This 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.161014532020202020
9Onto the final step to success; order the fractions from smallest to biggest. 163510141014531620202020202020202020431117714320542210410205
101) 8 would be a common denominator 1) Find a common denominator2) Convert the fractions (remember to multiply the numerator by the same number as the denominator).3) Order fractionsFractions of shapeSteps to success1) 8 would be a common denominator3134283) Order fractions2) Convert fractionsX 2X 4313643824888