Half & Quarter

Half and Quarter

What you'll learn

One half (1/2) — one of two equal parts.
One quarter (1/4) — one of four equal parts.
That 2/4 = 1/2 when parts are the same size.
Fractions in food: roti, pizza, chocolate bar — from Math Mela.

Key concepts

Level 1 — Core idea

Verbal: Cut a chapati into 2 equal pieces — each is one half.

Symbolic: 1/2, 1/4; 2/4 = 1/2.

Visual: Draw a rectangle; shade 1 of 2 equal parts → 1/2; 1 of 4 → 1/4.

Level 2 — Going deeper

Bottom number (denominator) = total equal parts. Top (numerator) = parts taken. Unequal cuts are not halves.

NCERT anchor

NCERT Math Mela, Class 3 — Chapter 10 (How Many Times?) and sharing activities introduce half and quarter. Fold paper into 2, then 4 equal parts to see 1/4.

Worked example

Shade 1/4 of a square divided into 4 equal parts.

Step 1 — Divide square into 4 equal smaller squares.
Step 2 — Shade **one** part only.
Step 3 — That shaded region = **1/4** of the whole.

Why is 2/4 the same as 1/2?

Step 1 — 2/4 means 2 out of 4 equal parts shaded.
Step 2 — Those 2 parts cover **half** the whole shape.
Step 3 — So 2/4 = **1/2** ✓

Common mistakes

Mistake	Why	Fix
Any two pieces = halves	Unequal cuts	Parts must be equal
1/4 bigger than 1/2	Smaller denominator confusion	More splits → smaller each piece
2/4 and 1/2 different amounts	Not simplifying	Same amount — equivalent
Shading 2 parts of 8 and calling 1/4	Wrong denominator	Count total equal parts first

Quick check

Fold paper to show 1/2 and 1/4.
Which is larger: 1/2 or 1/4 of the same cake?
Write 2/4 in simplest form.
Stretch: A bar has 4 equal pieces. You eat 2. What fraction is left?

Revision tip: Fold a paper strip: half, then half again — see four quarters appear.

Open the Practice tab for graded questions on Half and Quarter.

Half & Quarter

Half & Quarter

Half and Quarter

What you'll learn

Key concepts

Level 1 — Core idea

Level 2 — Going deeper

NCERT anchor

Worked example

Common mistakes

Quick check

Key Takeaways (TL;DR)

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