Checking and securing converting improper fractions to mixed numbers | Maths

Starter quiz

Two fractions are equivalent if they have the same ______.
- 'value' ✓
$Use the diagram to help you find two more fractions that are equivalent to <Math>4 \over 5</Math>.$

Use the diagram to help you find two more fractions that are equivalent to $4 \over 5$ .
- $4 \over 20$
- $6 \over 10$
- $8 \over 10$ ✓
- $16 \over 20$ ✓
- $18 \over 20$
Alex writes: $\frac{3\times \square}{7\times \square} = \frac{12}{28}$ . What number should Alex write in each box?
- '4' ✓
Select all the fractions that are equivalent to $1 \over 4$ .
- $2 \over 5$
- $2 \over 8$ ✓
- $3 \over 9$
- $3 \over 12$ ✓
- $4 \over 16$ ✓
Select all the fractions that are equivalent to $5 \over7$ .
- $10 \over 14$ ✓
- $10 \over 12$
- $15 \over 21$ ✓
- $18 \over 24$
Match each fraction to an equivalent fraction.
- $1 \over 6$
  
  ⇔
  
  $3 \over 18$ ✓
- $2 \over 9$
  
  ⇔
  
  $6 \over 27$ ✓
- $5 \over 11$
  
  ⇔
  
  $25 \over 55$ ✓
- $5 \over 8$
  
  ⇔
  
  $20 \over 32$ ✓
- $5 \over 7$
  
  ⇔
  
  $20 \over 28$ ✓

Match together each type of fraction with an example of that fraction.
- improper fraction
  
  ⇔
  
  $\frac {8}{5}$ ✓
- proper fraction
  
  ⇔
  
  $\frac {3}{5}$ ✓
- mixed number
  
  ⇔
  
  $1 \frac {3}{5}$ ✓
Write the correct symbol (<, > or =) to complete the statement: 467 ÷ 466 ______ 1
- '>' ✓
Match each statement to the symbol that should go in the box.
- $\frac{7} {8} \square 1$
  
  ⇔
  
  < ✓
- $\frac{7+8}{8+7} \square 1$
  
  ⇔
  
  = ✓
- $\frac{8} {7} \square 1$
  
  ⇔
  
  > ✓
Jun writes: $\frac{12} {5} = \square \frac {2}{5}$ . Jun should write the number ______ in the box.
- '2' ✓
Izzy writes: $\frac{19} {3} = 6 \frac {\square}{3}$ . Izzy should write the number ______ in the box.
- '1' ✓
Match each improper fraction to its equivalent mixed number.
- $\frac {7}{4}$
  
  ⇔
  
  $1 \frac {3}{4}$ ✓
- $\frac {5}{2}$
  
  ⇔
  
  $2 \frac {1}{2}$ ✓
- $\frac {10}{8}$
  
  ⇔
  
  $1 \frac {1}{4}$ ✓
- $\frac {11}{4}$
  
  ⇔
  
  $2 \frac {3}{4}$ ✓
- $\frac {12}{8}$
  
  ⇔
  
  $1 \frac {1}{2}$ ✓

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Fractions where the denominator and numerator are the same are equal to one.
Fractions where the numerator is less than the denominator are less than one.
Fractions where the numerator is greater than the denominator are greater than one.
Improper fractions can be written as a whole number and a proper fraction.
Improper fractions can be converted to mixed numbers.

A mixed number can be confused with an integer multiplying by the proper fraction.

Emphasise the language eg. 3 and a 1/2 means 3 + 1/2.

Proper - A proper fraction is a fraction where the numerator is less than the denominator.
Improper - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Mixed number - A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.