Dividing Fractions Calculator
Divide fractions, mixed numbers, and whole numbers with step-by-step solutions
Divide Fractions
Dividend (First Fraction)
Fraction: 0
Decimal: 0.000000
Divisor (Second Fraction)
Fraction: 0
Decimal: 0.000000
Division Result
Example Divisions
Fraction ÷ Fraction
Example: 3/4 ÷ 2/3
Steps:
1. Keep first fraction: 3/4
2. Change ÷ to ×: 3/4 ×
3. Flip second fraction: 2/3 → 3/2
4. Multiply: 3/4 × 3/2 = 9/8
Result: 9/8 = 1⅛
Fraction ÷ Whole Number
Example: 3/4 ÷ 2
Steps:
1. Write whole number as fraction: 2 = 2/1
2. Keep: 3/4, Change: ×, Flip: 2/1 → 1/2
3. Multiply: 3/4 × 1/2 = 3/8
Result: 3/8
Keep, Change, Flip Method
Keep
Keep the first fraction unchanged
This is your dividend
Change
Change division (÷) to multiplication (×)
Division becomes multiplication
Flip
Flip the second fraction (find reciprocal)
Swap numerator and denominator
Division Tips
Remember: dividing by a fraction is multiplying by its reciprocal
Cannot divide by zero (numerator of divisor cannot be 0)
Convert mixed numbers to improper fractions first
Always simplify your final answer
Understanding Fraction Division
What Does It Mean to Divide Fractions?
Dividing fractions answers the question "How many times does the divisor fit into the dividend?" For example, 1/2 ÷ 1/4 asks "How many quarter-pieces fit into a half?" The answer is 2.
Why Do We "Keep, Change, Flip"?
- •Division by a fraction is multiplication by its reciprocal
- •This method works for all types of fractions
- •It's easier than finding common denominators
- •Results are automatically in simplified form after basic reduction
Different Types of Division
Fraction ÷ Fraction
Standard fraction division:
a/b ÷ c/d = a/b × d/c = (a×d)/(b×c)
Example: 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3
Fraction ÷ Whole Number
Convert whole number to fraction:
a/b ÷ n = a/b ÷ n/1 = a/b × 1/n = a/(b×n)
Example: 3/4 ÷ 2 = 3/4 × 1/2 = 3/8
Whole Number ÷ Fraction
Convert whole number to fraction:
n ÷ a/b = n/1 × b/a = (n×b)/a
Example: 6 ÷ 2/3 = 6/1 × 3/2 = 18/2 = 9