Dividing Fractions Worksheet
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Dividing Fractions Worksheet
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Worked Example
Problem: 5/6 ÷ 5/12
- Keep the first fraction, change ÷ to ×, and flip the second fraction.— 5/6 ÷ 5/12 becomes 5/6 × 12/5.
- Cross-cancel common factors.— The 5s cancel to 1. The 12 and 6 share a factor of 6 — 12 becomes 2 and 6 becomes 1.
- Multiply the simplified numerators and denominators.— (1/1) × (2/1) = 2/1 = 2.
Answer: 2
Frequently Asked Questions
Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of a fraction is found by swapping the numerator and denominator.
Always flip the second fraction (the divisor). The first fraction stays as is. The acronym KCF (Keep, Change, Flip) helps: Keep the first, Change ÷ to ×, Flip the second.
When you divide by a fraction less than 1, you are asking "how many of this small piece fit into the original?" More pieces fit, so the answer is larger.