Ordering fractions by way of a common denominator | Maths

Starter quiz

The numerator is the expression in a fraction that is written above the fraction line. It is the ______.
- 'dividend' ✓
The denominator is the expression in a fraction that is written below the fraction line. It is the ______.
- 'divisor' ✓
Order the steps to show how to convert $\frac{9}{8}$ to a decimal
- 1
  
  ⇔
  
  $\frac{9}{8} \times 1$
- 2
  
  ⇔
  
  $\frac{9}{8} \times \frac{125}{125}$
- 3
  
  ⇔
  
  $\frac{9 \times 125}{8 \times 125}$
- 4
  
  ⇔
  
  $\frac{1125}{1000}$
- 5
  
  ⇔
  
  $1.125$
In order to compare fractions, you must always convert them to have the same denominator.
- True
- False ✓
Order these values from smallest to largest.
- 1
  
  ⇔
  
  $9.45$
- 2
  
  ⇔
  
  $9\frac{5}{8}$
- 3
  
  ⇔
  
  $9\frac{3}{4}$
- 4
  
  ⇔
  
  $9.92$
Order these values from smallest to largest.
- 1
  
  ⇔
  
  $\frac{17}{20}$
- 2
  
  ⇔
  
  $0.875$
- 3
  
  ⇔
  
  $0.92$
- 4
  
  ⇔
  
  $\frac{15}{16}$

Order the steps to show that $\frac{7}{8}$ is not equivalent to $\frac{42}{56}$
- 1
  
  ⇔
  
  $\frac{7}{8} \times 1$
- 2
  
  ⇔
  
  $\frac{7}{8} \times \frac{7}{7}$
- 3
  
  ⇔
  
  $\frac{7 \times 7}{8 \times 7}$
- 4
  
  ⇔
  
  $\frac{49}{56}$
True or false? $\frac{12}{13} = \frac{72}{78}$
- True ✓
- False
Which of the following are true?
- $\frac{2}{3} = \frac{32}{48}$ ✓
- $\frac{4}{9} = \frac{20}{36}$
- $\frac{7}{8} = \frac{63}{72}$ ✓
- $\frac{48}{144} = \frac{1}{3}$ ✓
- $\frac{119}{80} = \frac{7}{5}$
Select the correct symbol to make the statement true. $\frac{3}{8}\ \square \ \frac{9}{24}$
- <
- >
- = ✓
Select the correct symbol to make the statement true. $\frac{5}{21}\ \square \ \frac{6}{14}$
- < ✓
- >
- =
Select the correct symbol to make the statement true. $\frac{7}{12}\ \square \ \frac{9}{16}$
- <
- > ✓
- =

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When a fraction is multiplied by 1 it remains the same but may look different.
Two fractions can be written with the same denominator by using the lowest common multiple.
Two fractions can be compared when they have the same denominator.
A list of fractions can be ordered by writing them all as equivalent fractions with the same denominator.

Choosing to the find the product of the denominators in order to compare fractions.

Although this is not wrong it can be inefficient. This can be illustrated using large denominators which have a much lower HCF.

Numerator - The expression in a fraction that is written above the fraction line. It is the dividend.
Denominator - The expression in a fraction that is written below the fraction line. It is the divisor.
Lowest common multiple - The lowest common multiple is the lowest number that is a multiple of two or more numbers.