Not so fast with the clicking!
That is not the next smallest number.
Drag and DropCheese and Onion PiesArrange the fractions in order from smallest to largest. 
Well Done! 
A ChallengeVinculumFind fractions larger than the previous fraction but less than one. 
This is Fraction Lines level 1. You can also try:
Level 2
Level 3
Level 4
Level 5
Level 6
Level 7
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 



Transum.orgThis web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available. Please contact me if you have any suggestions or questions. 
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School: "This is a great memory aid which could be used for formulae or key facts etc  in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is  my pupils love it! Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School: "Really good site. Lots of good ideas for starters. Use it most of the time in KS3." 
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Level 1  Fractions represented as pie charts
Level 2  Tenths represented as a grid of squares
Level 3  Decimal fractions some with hundredths
Level 4  Twelfths represented as a grid of squares
Level 5  Vulgar fractions simplified twelfths
Level 6  Mixed fraction pictures
Level 7  Mixed fractions and decimals
More on this topic including lesson Starters, visual aids, investigations and selfmarking exercises.
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See the National Curriculum page for links to related online activities and resources.
Order these fractions from smallest to largest
$$ \frac{3}{4} , \frac{7}{8} , \frac{1}{2} , \frac{1}{4} , \frac{3}{8} $$Method 1: Write each of the fractions with a common denominator. The lowest common multiple of the five denominators is 8 so the five fractions become:
$$ \frac{6}{8} , \frac{7}{8} , \frac{4}{8} , \frac{2}{8} , \frac{3}{8} $$It is now easy to order the fractions in order of their denominators:
$$ \frac{2}{8} , \frac{3}{8} , \frac{4}{8} , \frac{6}{8} , \frac{7}{8} $$Now write each of these fractions in the way they were written in the question:
$$ \bbox[yellow,5px,border:2px solid red]{ \frac{1}{4} ,\quad \frac{3}{8} ,\quad \frac{1}{2} ,\quad \frac{3}{4} ,\quad \frac{7}{8} }$$Method 2: Convert each of the fractions to decimals (to three decimal places for this example) by dividing the numerators by the denominators:
$$ \require{enclose} \begin{array}{r} 0.750 \\[3pt] 4 \enclose{longdiv}{3.000} \\[3pt] \end{array} , \require{enclose} \begin{array}{r} 0.875 \\[3pt] 8 \enclose{longdiv}{7.000} \\[3pt] \end{array} , \require{enclose} \begin{array}{r} 0.500 \\[3pt] 2 \enclose{longdiv}{1.000} \\[3pt] \end{array} , \require{enclose} \begin{array}{r} 0.250 \\[3pt] 4 \enclose{longdiv}{1.000} \\[3pt] \end{array} , \require{enclose} \begin{array}{r} 0.375 \\[3pt] 8 \enclose{longdiv}{3.000} \\[3pt] \end{array} $$The decimal equivalents can more easily be ordered then writen in the way they were written in the question to give the same answer as method 1.
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