Primary 4 covers mixed numbers, improper fractions and the relationship between them.
What mixed numbers and improper fractions actually asks of a Primary 4 student
Until now every fraction has been part of one whole. Improper fractions break that: 7/4 is more than a whole, and the notation no longer matches the mental picture of a shape cut into pieces.
A mixed number is the same quantity written differently — one whole and three quarters — and converting between the two forms is the entire skill.
Children who never build the picture end up with two conversion rules to memorise in opposite directions, which is exactly the kind of memorised procedure that fails under pressure.
What the syllabus covers
Under the MOE primary mathematics syllabus, mixed numbers and improper fractions at Primary 4 covers:
- mixed numbers, improper fractions and their relationship
Where the marks actually go
Converting the wrong way round, multiplying when dividing was needed.
Losing the remainder when converting an improper fraction to a mixed number, so 7/4 becomes 1 rather than 1 3/4.
Changing the denominator during conversion. The size of the pieces never changes; only how they are grouped.
How to practise this properly
Draw it. Seven quarters as two shapes, one full and one with three quarters shaded, makes both forms obviously the same quantity.
Say the conversion as a sentence: “how many whole ones fit, and what is left over?” That phrasing is the division, without the rule.
Check by converting back. If the answer returns to the starting fraction, the conversion was right.
Practise both directions in the same session, because fluency one way does not transfer to the other.
Put mixed numbers on a number line between the whole numbers they sit between. Placing 7/4 between 1 and 2 makes the size of the quantity concrete, and it prevents the common belief that an improper fraction is somehow a mistake to be corrected rather than a legitimate way of writing a number.
What this leads to
Primary 5 does all four operations with fractions, and mixed numbers appear throughout. Being able to move between the forms quickly is assumed there.
It is also why a difficulty in one year is so often a leftover from an earlier one. Because our curriculum spans Primary 1 through Primary 6, we can go back to the genuine cause rather than treating the symptom in front of us. A child struggling with Primary 5 fractions frequently has a Primary 3 equivalence problem, and no amount of Primary 5 practice will resolve it.
What lessons at Odyssey are actually like
What the teaching looks like from a student’s side. This is a secondary student — primary lessons follow the same approach at an age-appropriate pace. More are on Odyssey Math TV.
Getting help with this topic
We teach Primary 4 maths in small classes at Hexacube, 160 Changi Road #01-02, about three minutes from Eunos MRT. You can see our class schedules and fees, read about our math tutors, or look through the primary school math tuition programme as a whole. If your child is in a nearby school, our primary school directory may be useful too.
Start with the free trial lesson. We use it to work out where the difficulty really sits, and we will say so plainly — including if we think the sensible course is to wait a term and watch. Parents generally find that more useful than a confident sales answer. Get in touch or WhatsApp +65 8512 6882.
What we describe here comes from teaching this syllabus in our own classes since 2012. It is not a forecast for any individual child: progress is produced jointly, by a student willing to do the work with support at home. We do not promise grades. Topics follow the MOE primary mathematics syllabus — check the current syllabus on the MOE website for the definitive version, and see our curriculum page for how we teach it.
Frequently asked questions
What is an improper fraction?
One where the numerator is larger than the denominator, such as 7/4. It represents more than one whole.
How do you convert an improper fraction to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number and the remainder becomes the new numerator over the same denominator.
Does the denominator change during conversion?
No. The pieces stay the same size; only the way they are grouped changes.
Which form should answers be given in?
Whichever the question specifies. Where it does not, a mixed number is usually the clearer form at primary level.
