Division asks: how many divisor-sized groups fit in the dividend?3/4 ÷ 1/4 = 3

Dividing Fractions

Visual groups, reciprocals, simplification, and word problems

Workspace

Fraction workshop

Build the division

Dividend numerator3

Dividend denominator4

Divisor numerator1

Divisor denominator4

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Visual examples

Live result

Division3/4 ÷ 1/4

Quotient3

Decimal3

Check3 × 1/4 = 3/4

Rule with meaning

a/b ÷ c/d = a/b × d/c = ad/bc

Count how many one-fourth groups fit inside three-fourths.

Object focus

Tap a shaded piece, group bracket, reciprocal card, or result tray.

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Teacher narration

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Chapters

Learning objectives

Interpret fraction division as measuring groups.
Model division with equal-sized fraction pieces.
Explain why multiplying by the reciprocal works.
Convert mixed numbers before dividing.
Estimate, simplify, and verify a quotient.

Key relationships

Meaning: dividend ÷ divisor = number of divisor-sized groups.

Rule: a/b ÷ c/d = a/b × d/c.

Mixed number: w n/d = (wd + n)/d.

Check: quotient × divisor = dividend.

Suggested experiments

Keep 3/4 fixed and make the divisor smaller.
Compare 1/2 ÷ 1/4 with 1/2 ÷ 3/4.
Choose values that cancel before multiplication.
Use the cup model and include units in the answer.

Questions for exploration

Why can a quotient be larger than the dividend?
Which fraction flips, and why?
How does multiplication check the answer?

Seven-question fraction check

Answer all seven questions.

Teacher whiteboard

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