## Sort the fractions in order from smallest to largest.

### Click on the red fractions in order from smallest to largest.

Not so fast with the clicking!

That is not the next smallest number.

#### Cheese and Onion Pies

Arrange the fractions in order from smallest to largest.

Transum.org/go/?to=cheese

Well Done!

#### Vinculum

Find fractions larger than the previous fraction but less than one.

Transum.org/go/?to=vinculum

This is Fraction Lines level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6 Level 7

## Instructions

Try 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.

## More Activities:

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

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## Description of Levels

Close

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.

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## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Example

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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