Singapore Math Drills Team · 22 September 2026
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Fractions rarely go wrong all at once. A child may understand that a pizza cut into four equal pieces gives quarters, then freeze when asked to compare 3/4 and 5/8. By P5, that same small gap can make adding unlike fractions feel like a brand-new topic.
If you are searching for how to teach fractions Singapore Math style, the most useful starting point is not another large worksheet. It is the sequence. Fractions develop in layers, and each layer makes the next one possible. Here is what that progression looks like from P2 to P6, where the common gaps appear, and how to practise the exact skill that needs attention.
Primary 2 introduces fractions as equal parts of a whole, with a focus on unit fractions such as 1/2 and 1/4, and like fractions with the same denominator. The denominator tells us how many equal parts the whole has been split into; the numerator tells us how many parts we have.
For example:
1/5 + 2/5 = 3/5
The fifths are the same-sized parts, so we add the number of fifths: 1 + 2 = 3. The answer stays in fifths. A quick check is that three fifths is less than one whole, which matches the calculation.
Use paper strips, fruit, or a bar split into equal parts. If your child ignores whether the parts are equal, pause there: equal parts are the foundation for everything that follows.
In Primary 3, children build the idea that different fraction names can describe the same amount. These are equivalent fractions:
1/2 = 2/4 = 4/8
The numerator and denominator are multiplied by the same number each time. The fraction has been renamed, not changed. This lets a child compare fractions that do not initially have the same denominator. For example, to compare 3/4 and 5/8, rename 3/4 as 6/8. Since 6/8 > 5/8, 3/4 > 5/8.
Practise equivalent fractions until your child can explain why the value stays the same, not just produce a matching number. If 1/2 and 2/4 seem unrelated, a common denominator will be difficult later.
Primary 4 adds another way to represent the same quantity: mixed numbers and improper fractions. The child needs to move confidently between the two forms.
1 2/3 = 5/3 because one whole is 3/3, and 3/3 + 2/3 = 5/3.
The reverse conversion also needs a check. 7/4 = 1 3/4 because 7/4 = 4/4 + 3/4, which is one whole and three quarters.
Good P4 fractions practice is therefore not only about answering more questions. It should give your child repeated opportunities to identify the whole, rename the fraction, and check whether an answer is less than, equal to, or greater than one. Full fraction operations are developed further in P5, so do not assume that a child who can convert a mixed number is already ready for every unlike-denominator problem.
Primary 5 is where adding unlike fractions becomes a central skill. The denominators must first describe the same-sized parts.
Work out 2/3 + 3/4. Give your answer as a mixed number.
Hint: Rename both fractions as twelfths before adding.
Here is the working:
2/3 = 8/12 because 2 × 4 = 8 and 3 × 4 = 12.3/4 = 9/12 because 3 × 3 = 9 and 4 × 3 = 12.8/12 + 9/12 = 17/12.17/12 = 1 5/12.Check it by converting the mixed number back: 1 5/12 = 12/12 + 5/12 = 17/12. The calculation is consistent.
The important bridge is equivalent fractions. Without it, the child may try 2/3 + 3/4 = 5/7, adding the top and bottom numbers as if the fractions were whole numbers. The error is not random: the child has not yet understood that thirds and quarters are different-sized pieces.
By Primary 6, fraction work includes division by a proper fraction. A compact example is:
3/4 ÷ 1/8 = 6
This asks how many one-eighth pieces fit into three quarters. Rename 3/4 as 6/8, then count six eighths. Check the answer by multiplying: 6 × 1/8 = 6/8 = 3/4.
In fractions word problems for PSLE-style Paper 2 practice, the hard part is often deciding what the fraction is describing before calculating. Is the question asking for a part of a whole, the whole from a known part, or how many fractional groups fit? Encourage your child to draw the situation first and write one sentence explaining the unit. For a fuller introduction to the bar model, see Bar Models: A Parent's Guide to P3–P6 Word Problems.
The jump from equivalent fractions to unlike fractions is a useful example of prerequisite behaviour. A child who cannot reliably rename 2/3 as 8/12 has not necessarily forgotten addition. They may be missing the exact skill that addition with unlike denominators requires.
Singapore Math Drills models these dependencies as topic and subtopic prerequisite links. When a child makes two consecutive mistakes, the practice flow can fetch prerequisite questions and place three of them into the current session. It checks a more precise subtopic prerequisite first, then falls back to a topic prerequisite when needed. After a low-accuracy attempt, the report can also recommend prerequisite topics for review. That is targeted support for the foundation, rather than simply repeating the harder question.
“The bigger denominator means the bigger fraction.” Compare the size of one piece. One eighth is smaller than one quarter, even though 8 is larger than 4. The whole has been split into more pieces.
“Equivalent fractions have different values.” Use a strip or bar to show that 1/2, 2/4, and 4/8 cover the same amount. The notation changes; the quantity does not.
“Add the denominators too.” Denominators name the unit. First make the units match, then add the numerators. 2/3 + 3/4 becomes 8/12 + 9/12, not 5/7.
“A keyword tells me the operation.” In a word problem, “of” does not always mean multiply, and “left” does not always mean subtract. Ask what quantity is known, what quantity is being found, and what one unit represents before choosing an operation.
The Skill Map gives each curriculum topic a progress ring and opens into nested focus skills and the practice available for them. That matters because “fractions” is too broad a revision instruction. Your child may be comfortable with comparing fractions but still be shaky on mixed-number conversion or adding unlike fractions.
Once you can see the narrower gap, Targeted Drills let your child practise that one subtopic instead of receiving a general mixture of fraction questions. Start with the exact skill that is holding up the next one: equivalent fractions before unlike denominators, and unlike-denominator operations before a long word-problem set.
For a deeper look at using this approach across revision, read Stop Drilling Everything — Target the Exact Gap with the Skill Map. The goal is not to make every evening longer. It is to make the next few questions more useful.
The hardest part of fraction practice is often showing the thinking, especially when a child knows the rule but loses track halfway through a word problem. The built-in Scratch Pad gives your child a place to draw a fraction bar, mark equal parts, or write the common-denominator steps by hand without leaving the practice screen. You can then see whether the difficulty was the concept, the operation, or a small arithmetic slip.
Fractions also need to come back after the first successful session. Spaced Review brings learned skills and previously missed questions around again before they fade, so equivalent fractions are not treated as “finished” just because they went well once. When a child is ready to connect the skills, the three practice modes give you a sensible progression: Focus for unhurried accuracy while learning, Sprint for rapid recall once the method is secure, and Worksheet for a whole paper marked at the end when it is time to mix question types.
Start with a free interactive fraction drill and see which skill deserves attention next — no signup or credit card required.