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.