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 5. You can also try:
Level 1
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Level 3
Level 4
Level 6
Level 7
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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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