Fraction Notation
Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole
Share and support
Teaching Table · Reviewed guide
Set out your lesson
“A fraction is a number that names equal parts of one or more wholes. The denominator tells the size of each equal part, and the numerator tells how many of those parts we have; when the numerator is larger, a fraction can be greater than one whole.”
Bring to the table
- Paper
- Pencil
- 8 small objects such as buttons or blocks
Full guide and materials
- Paper
- Pencil
- 8 small objects such as buttons or blocks
- Step 1. Place 4 objects together as one whole set, then separate them into 2 equal groups.
- Step 2. Point to one group and write 1/2, naming 1 as the numerator and 2 as the denominator.
- Step 3. Repeat with 6 objects split into thirds and 8 objects split into fourths.
- Step 4. Let your child choose one equal group and write the fraction it represents.
- Quick check. Show 8 objects in 4 equal groups. Success means your child labels one group 1/4 and three groups 3/4 and explains what each number means.
Worked example. Six counters split into 3 equal groups have 2 counters in each group. One group is 1/3 of the whole set; two groups are 2/3.
Optional challenge. Use two groups of 4 objects as two wholes. Represent 5/4 and connect it to the mixed number 1 1/4.
What to notice. Save a photo of one correctly grouped set beside its written fraction, or a short note recording how your child explained the numerator and denominator.
Compare teaching approaches
Teaching approaches
Gakuva’s recommended starting approach is selected. You can still compare every option.
1 approach
A fraction is a number that names equal parts of one or more wholes. The denominator tells the size of each equal part, and the numerator tells how many of those parts we have; when the numerator is larger, a fraction can be greater than one whole.
Spend 10 minutes building and labeling halves, thirds, and fourths with small objects. Divide each set into equal groups, then write the matching fraction.
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
No reviewed resources for this concept yet.
The teaching approach above still stands. Curated practice links will appear here as the shelf fills.
Check understanding
- Point to and name the numerator and denominator in any given fraction and explain what each tells you
- Correctly classify fractions as unit, proper, improper, or mixed number with an example of each
- Explain in own words why 2/4 and 1/2 are equivalent fractions
“If your child saw the fraction 3/4 written down, could they point to the numerator and the denominator — and explain what each number actually means?”
Curriculum record
- Type
- Language
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 6–9