Dividing mixed numbers starts by turning them into improper fractions. That conversion (and going back the other way) plus the flip idea are the feeder skills. Warm them up and mixed-number division is just one extra setup step.
Answer these 3, then press Show my path. No grade — this just points you to the right level.
1. Write 1 1/2 as an improper fraction (halves).
2. How many thirds (1/3) are in 1 whole?
3. What is the reciprocal (flip) of 3/2?
A mixed number like 1 1/2 is one whole plus a part. To make it an improper fraction: multiply the whole by the denominator, add the top, keep the bottom. To go back, see how many wholes fit.
Your quick check picks one for you, but you can switch any time:
Level 0 Build an improper fraction one step at a time.
A. For 1 1/2: multiply whole × bottom → 1 × 2 = ___
1 × 2 = 2.
B. Now add the top: 2 + 1 = ___
2 + 1 = 3. Keep the bottom 2, so the answer is 3/2.
C. How many halves are in 1 1/2 wholes? (count the 1/2 pieces)
1 whole = 2 halves, plus 1 more half = 3 halves → 3/2.
Level 1 Convert and flip.
A. Write 2 1/3 as an improper fraction.
(2 × 3) + 1 = 7, over 3 → 7/3.
B. What is the reciprocal of 7/3?
Swap top and bottom: 7/3 → 3/7.
Level 2 Stretch into the mixed-number division setup.
A. Write 1 1/2 as an improper fraction, ready to divide.
(1 × 2) + 1 = 3, over 2 → 3/2.
B. 3/2 ÷ 1/2: keep 3/2, flip 1/2 to 2/1, multiply. What is 3/2 × 2/1?
3×2 = 6 over 2×1 = 2 → 6/2 = 3. (Three 1/2s fit in 1 1/2.)
1. Write 1 1/4 as an improper fraction.
(1 × 4) + 1 = 5, over 4 → 5/4.
2. What is the reciprocal of 5/4?
Swap top and bottom: 5/4 → 4/5.
You've practiced exactly what Lesson 2-4 uses. Time to dive in.
Start Lesson 2-4 →