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Math · Fractions & Decimals

Dividing Fractions

Dividing by a fraction is just a magic trick: Keep, Change, Flip — then multiply straight across!
✨The 3 Magic Steps
🤝KEEP
1 2
Step 1KEEP the first fraction exactly the same.
🔄CHANGE
Step 2CHANGE the ÷ sign into a × sign.
🙃FLIP
3 2
Step 3FLIP the second fraction to its reciprocal, then multiply!
📝 Worked Example: solve 1/2 ÷ 2/3 step by step
1 2 ÷ 2 3 KEEP the 1/2, CHANGE ÷ to ×, FLIP the 2/3 → 3/2 1 2 × 3 2 = 1×3 2×2 = 3 4 the quotient!
🔢Why It Makes the Answer Bigger
How many 1/2's fit in 3? → 3 ÷ 1/2 = 6
0 1 2 3 1 2 3 4 5 6 6 half-jumps fit in 3 — so the answer is BIGGER than 3!
🔑Key Terms
🙃Reciprocal A fraction flipped upside-down — its multiplicative inverse (2/3 → 3/2).
✨Keep · Change · Flip KEEP the first, CHANGE ÷ to ×, FLIP the second.
🟰Quotient The answer to a division problem.
➗Divisor The number you are dividing BY — this is the one you flip.
📦Dividend The number being divided — the first fraction you KEEP.
🔁Mixed Number A whole + a fraction. Change it to an improper fraction before dividing.
⭐ Remember: dividing by a fraction is the same as multiplying by its reciprocal — Keep, Change, Flip, then multiply straight across!
✏️ Math Anchor Chart · Dividing Fractions
From ClickClass — hundreds of free printables at clickclassedu.com/printables