Dividing fractions: how many pieces fit?
3/4 ÷ 1/8 asks how many eighths fit in three quarters. Divide by a nonzero fraction by multiplying by its reciprocal.
| Expression | Meaning |
|---|---|
| 3/4 ÷ 1/8 | Count eighth-sized pieces. |
| 3/4 × 8/1 | Invert only the divisor. |
| 24/4 = 6 | Six eighths fit in three quarters. |
One worked example
- 3/4 ÷ 1/8Count eighth-sized pieces.
- 3/4 × 8/1Invert only the divisor.
- 24/4 = 6Six eighths fit in three quarters.
Watch out: Division by zero is undefined. Invert only the divisor, not both fractions.
Goal, prerequisites and card origin
What you will learn: Divide by a fraction using its reciprocal.
What you need first: Fraction multiplication and reciprocals.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
Show connections
3/4 ÷ 1/8 asks how many eighths fit in three quarters. Divide by a nonzero fraction by multiplying by its reciprocal.