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Year 4

Convert a number of quarters from an improper fraction to a mixed number

I can convert a quantity from an improper fraction to a mixed number using quarters.

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New
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Year 4

Convert a number of quarters from an improper fraction to a mixed number

I can convert a quantity from an improper fraction to a mixed number using quarters.

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Share activities with pupils
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Lesson details

Key learning points

  1. An improper fraction is a fraction where the value of the numerator is greater than the value of the denominator.
  2. An improper fraction is greater than 1
  3. Four quarters are equal to one whole or 1
  4. If there are quarters left, they form the fraction part of the mixed number.

Keywords

  • Mixed number - A mixed number is a whole number and a fraction combined.

  • Improper fraction - An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).

Common misconception

Children may not fully convert and may leave the fractional part of the mixed number as an improper fraction e.g. 13/4 = 2 and 5/4

Support via questioning: How many quarters make one whole? How many full groups of four quarters can you make? Emphasise the fractional part needs to have a numerator smaller than the denominator and take time to discuss why.

A secure recall of multiplication facts is beneficial in this lesson. If pupils are less secure consider providing a multiplication square to allow them to focus on the concept of converting. Children should start by identifying the unit that they are working with by looking at the denominator.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
Look at this number $$ {7} \over {4}$$ We say it as seven .
Correct Answer: quarters
Q2.
Match the equation to its quotient.
Correct Answer:4 ÷ 4 = ,1

1

Correct Answer:12 ÷ 4 = ,3

3

Correct Answer:20 ÷ 4 = ,5

5

Correct Answer:40 ÷ 4 = ,10

10

Correct Answer:48 ÷ 4 = ,12

12

Q3.
Select the mixed numbers.
Correct answer: $$1{{3} \over {4}}$$
$$ {7} \over {4}$$
$$ {3} \over {4}$$
Correct answer: $$ 4{{1} \over {4}}$$
$$ {13} \over {4}$$
Q4.
Select the improper fractions.
$$ {1} \over {4}$$
$$ {2} \over {4}$$
$$ {3} \over {4}$$
Correct answer: $$ {6} \over {4}$$
Correct answer: $$ {10} \over {4}$$
Q5.
Look at this counting sequence. What comes next? 12 quarters 16 quarters 20 quarters quarters.
Correct Answer: 24
Q6.
A whole has been divided into four equal parts. Which unit do we need to think about?
halves
thirds
Correct answer: quarters
fifths
tenths

Exit quiz

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6 Questions

Q1.
Four quarters is equivalent to whole.
Correct Answer: one, 1, a
Q2.
Match the improper fractions to their equivalent whole number.
Correct Answer:$$ {12} \over {4}$$,3

3

Correct Answer:$$ {20} \over {4}$$ ,5

5

Correct Answer:$$ {32} \over {4}$$,8

8

Correct Answer:$$ {40} \over {4}$$,10

10

Correct Answer:$$ {44} \over {4}$$,11

11

Q3.
Use the part-part-whole model to express $$ {7} \over {4}$$ as a mixed number.
An image in a quiz
$$ {4} \over {4}$$
$$ {3} \over {4}$$
Correct answer: $$1{{3} \over {4}}$$
$$ 2{{3} \over {4}}$$
$$ 1{{1} \over {4}}$$
Q4.
Which of these represents this improper fraction $$ {6} \over {4}$$ as a mixed number?
$$1{{1} \over {4}}$$
Correct answer: $$1{{2} \over {4}}$$
$$1{{3} \over {4}}$$
$$1{{3} \over {5}}$$
Q5.
Use the part-part-whole model to express $$ {14} \over {4}$$ as a mixed number.
An image in a quiz
$$ {2} \over {4}$$
$$ {12} \over {4}$$
$$2{{3} \over {4}}$$
$$3{{1} \over {4}}$$
Correct answer: $$3{{2} \over {4}}$$
Q6.
Match the improper fractions to their equivalent mixed number.
Correct Answer:$$ {13} \over {4}$$,$$3{{1} \over {4}}$$

$$3{{1} \over {4}}$$

Correct Answer:$$ {21} \over {4}$$,$$5{{1} \over {4}}$$

$$5{{1} \over {4}}$$

Correct Answer:$$ {35} \over {4}$$,$$8{{3} \over {4}}$$

$$8{{3} \over {4}}$$

Correct Answer:$$ {42} \over {4}$$,$$10{{2} \over {4}}$$

$$10{{2} \over {4}}$$

Correct Answer:$$ {47} \over {4}$$,$$11{{3} \over {4}}$$

$$11{{3} \over {4}}$$