Ordering fractions in different ways | Maths | Quizalize & Oak National Academy

Starter quiz

Order the steps to show that $\frac{12}{20}$ is not equivalent to $\frac{48}{100}$
- 1
  
  ⇔
  
  $\frac{12}{20} \times 1$
- 2
  
  ⇔
  
  $\frac{12}{20} \times \frac{5}{5}$
- 3
  
  ⇔
  
  $\frac{12 \times 5}{20 \times 5}$
- 4
  
  ⇔
  
  $\frac{60}{100}$
True or false? $\frac{2}{3} = \frac{34}{48}$
- True
- False ✓
Which of the following are true?
- $\frac{2}{3} = \frac{34}{48}$
- $\frac{4}{9} = \frac{20}{36}$
- $\frac{7}{9} = \frac{56}{72}$ ✓
- $\frac{48}{144} = \frac{1}{3}$ ✓
- $\frac{112}{80} = \frac{7}{5}$ ✓
Select the correct symbol to make the statement true. $\frac{5}{8}\ \square \ \frac{11}{16}$
- < ✓
- >
- =
Select the correct symbol to make the statement true. $\frac{6}{5}\ \square \ \frac{108}{90}$
- <
- >
- = ✓
Select the correct symbol to make the statement true. $\frac{9}{12}\ \square \ \frac{10}{16}$
- <
- > ✓
- =

True or false? A proper fraction has a numerator which is greater than its denominator.
- True
- False ✓
In which of the following would it be easier to compare the numerators?
- $\frac{4}{7}$ and $\frac{12}{39}$ ✓
- $\frac{101}{120}$ and $\frac{103}{240}$
- $\frac{8}{3}$ and $\frac{64}{25}$ ✓
- $\frac{15}{27}$ and $\frac{7}{9}$
The ______ the denominator, the smaller the parts.
- 'larger' ✓
Which statements need the symbol > inserted to make them true?
- $\frac{11}{22}\ \square \ \frac{11}{20}$
- $\frac{17}{6}\ \square \ \frac{17}{9}$ ✓
- $\frac{5}{1917}\ \square \ \frac{5}{1916}$
- $\frac{987}{988}\ \square \ \frac{987}{998}$ ✓
Write the following in order from smallest to largest.
- 1
  
  ⇔
  
  $\frac{17}{300}$
- 2
  
  ⇔
  
  $\frac{17}{287}$
- 3
  
  ⇔
  
  $\frac{17}{54}$
- 4
  
  ⇔
  
  $\frac{17}{53}$
- 5
  
  ⇔
  
  $\frac{17}{17}$
- 6
  
  ⇔
  
  $\frac{17}{3}$
Jun completes a 20 question maths quiz and gets 19 correct. Laura completes a 19 question maths quiz and gets 18 correct. Who did better and why?
- Jun as he only got one question wrong from a greater number of questions ✓
- Laura as she only got one question wrong from a smaller number of questions
- Neither as they are both one question away from getting it all correct.

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That fractions can only be compared using a common denominator.

Lots of visual representations are useful here looking at what happens to the size of the 'parts' as the denominator increases.

Denominator - A denominator is the expression in a fraction that is written below the fraction line. It is the divisor.
Numerator - A numerator is the expression in a fraction that is written above the fraction line. It is the dividend.
Proper fraction - A proper fraction is a fraction where the numerator is less than the denominator.