Not so fast with the clicking!
That is not the next smallest number.
Drag and DropCheese and Onion Pies Arrange the fractions in order from smallest to largest. |
Well Done! 
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A ChallengeVinculum Find fractions larger than the previous fraction but less than one. |
This is Fraction Lines level 1. You can also try:
Level 2
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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. |
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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 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London: "I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable." |
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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 self-marking exercises.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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