Dividing Fractions Calculator
Divide two fractions using the flip-and-multiply method with step-by-step solution. Shows the simplified result as both a fraction and decimal. See also our Adding Fractions Calculator and Fractions Calculator.
How to Divide Fractions
- Keep the first fraction as it is.
- Flip the second fraction (find its reciprocal).
- Multiply the first fraction by the reciprocal.
- Simplify the result by dividing numerator and denominator by their GCD.
Formula
a/b ÷ c/d = a/b × d/c = (a × d) / (b × c)
"Keep, Flip, Multiply"
Keep the first fraction, flip the second, then multiply.Example
Divide 3/4 ÷ 2/5:
Step 1: Keep 3/4
Step 2: Flip 2/5 to get 5/2
Step 3: Multiply: 3/4 × 5/2 = 15/8
GCD(15, 8) = 1, already simplified
Result: 15/8 = 1.875
Fraction Division Reference Table
| Problem | Flip & Multiply | Result | Decimal |
|---|---|---|---|
| 1/2 ÷ 1/4 | 1/2 × 4/1 | 2/1 | 2.0000 |
| 3/4 ÷ 1/2 | 3/4 × 2/1 | 3/2 | 1.5000 |
| 2/3 ÷ 3/4 | 2/3 × 4/3 | 8/9 | 0.8889 |
| 5/6 ÷ 2/3 | 5/6 × 3/2 | 5/4 | 1.2500 |
| 1/3 ÷ 2/5 | 1/3 × 5/2 | 5/6 | 0.8333 |
| 7/8 ÷ 1/4 | 7/8 × 4/1 | 7/2 | 3.5000 |
Frequently Asked Questions
Why do you flip the second fraction?
Dividing by a fraction is the same as multiplying by its reciprocal. Flipping the second fraction converts the division into multiplication, which is easier to compute.
Can I divide a whole number by a fraction?
Yes. Write the whole number as a fraction with denominator 1 (e.g., 5 = 5/1), then apply the flip-and-multiply method normally.
What if the result is an improper fraction?
An improper fraction (numerator larger than denominator) is a valid result. You can convert it to a mixed number if needed: 15/8 = 1 7/8.
Can I divide by zero?
No. Division by zero is undefined. If the second fraction has a numerator of 0, the division cannot be performed.
How do I divide mixed numbers?
First convert mixed numbers to improper fractions (e.g., 2 1/3 = 7/3), then apply the flip-and-multiply method.