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➗ Dividing Fractions

Find how many fractions fit inside another, use reciprocals, and divide with the 'keep, change, flip' rule.

3
lessons
~15 min
to learn
🔢 Math
subject
Ages 6–12
level
Start the course →

What you’ll learn

  1. What Division AsksUnderstand fraction division as counting how many of one fraction fit inside another, and find reciprocals.Dividing by a fraction asks how many of it fit inside: 3/4 ÷ 1/2 counts the halves inside three-quarters, which is one and a half, so the answer is 3/2. Every fraction has a reciprocal — its flip — and the reciprocal of 1/2 is 2/1.
  2. Keep, Change, FlipDivide fractions using keep-change-flip and explain why dividing by a small fraction gives a bigger answer.To divide fractions, keep the first fraction, change ÷ to ×, and flip the second to its reciprocal: 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2. Because dividing by a number less than 1 fits many pieces in, the answer is bigger than what you started with.
  3. Dividing in Real LifeApply fraction division to real sharing and cutting problems.Fraction division answers real 'how many servings' questions: 3/4 of a pizza split into 1/2-pizza servings gives 3/4 ÷ 1/2 = 3/2 servings. Using keep, change, flip on each problem — like 1/2 ÷ 1/4 = 2 — turns dividing fractions into quick multiplication.

Questions this course answers

What does 3/4 ÷ 1/2 really ask?

Dividing by 1/2 asks how many halves fit inside three-quarters.

What is the reciprocal of 1/2?

The reciprocal flips the fraction, so 1/2 becomes 2/1.

In 'keep, change, flip,' what do you change?

You change the division sign into a multiplication sign.

You divide 3/4 by 1/2. Compared to 3/4, the answer is...?

Dividing by a number less than 1 makes the answer larger, and 3/2 is bigger than 3/4.

What is 3/4 ÷ 1/2?

Keep 3/4, flip 1/2 to 2/1, and multiply: 3/4 × 2/1 = 6/4 = 3/2.

What is 1/2 ÷ 1/4?

Keep 1/2, flip 1/4 to 4/1, and multiply: 1/2 × 4/1 = 4/2 = 2.

Grounded in trusted sources

  • Khan Academy
  • Math is Fun
  • Britannica Kids
  • NCTM — Illuminations

Every Wunder lesson is built from real, reputable sources — never invented.

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