This dividing fractions calculator simplifies the process of dividing one fraction by another using (a/b) ÷ (c/d) = (a/b) * (d/c) formula. It takes two fractions as input and provides the result in its simplest form.
If you want to divide 3/4 by 1/2, the calculator would show that the result is 3/2 or 1.5.
Dividing Fractions Calculator
| Fraction 1 | Fraction 2 | Result | Decimal |
|---|---|---|---|
| 3/4 | 1/2 | 3/2 | 1.5 |
| 2/3 | 5/6 | 4/5 | 0.8 |
| 1 1/4 | 2/3 | 15/8 | 1.875 |
| 5/8 | 1 1/3 | 15/32 | 0.46875 |
| 2 1/2 | 1/4 | 10 | 10 |
| 1/6 | 1/3 | 1/2 | 0.5 |
| 4/5 | 2/7 | 14/10 | 1.4 |
| 3 1/3 | 1/2 | 20/3 | 6.66 |
| 2/9 | 1/6 | 4/9 | 0.44 |
| 5/12 | 1/4 | 5/3 | 1.66 |
Dividing Fractions Formula
The formula for dividing fractions is:
(a/b) ÷ (c/d) = (a/b) * (d/c)To divide fractions:
- Keep the first fraction as is.
- Multiply it by the reciprocal of the second fraction (flip the numerator and denominator).
- Multiply the numerators and denominators.
- Simplify if possible.
Example: (3/4) ÷ (1/2) = (3/4) * (2/1) = 6/4 = 3/2 = 1.5
How to Divide Fractions? (Explain in detail)
To divide fractions:
- Write the division problem: Place the fractions in the order they appear in the problem.
- Change the division sign to multiplication: Replace ÷ with *.
- Flip the second fraction: Swap its numerator and denominator.
- Multiply the numerators: Multiply the top numbers.
- Multiply the denominators: Multiply the bottom numbers.
- Simplify the result: Reduce the fraction if possible.
Example: 5/6 ÷ 2/3
- (5/6) ÷ (2/3)
- (5/6) * (3/2)
- (53) / (62)
- 15 / 12
- Simplify to 5/4 or 1.25
How do I Divide Fractions with Different Denominators?
- Keep the first fraction as is.
- Change the division sign to multiplication.
- Flip the second fraction (reciprocal).
- Multiply the fractions.
- Simplify the result.
The denominators being different doesn’t change the process. You don’t need to find a common denominator when dividing fractions.
Example: 3/8 ÷ 2/5
- (3/8) ÷ (2/5)
- (3/8) * (5/2)
- (35) / (82)
- 15 / 16
- Result: 15/16 (which cannot be simplified further)
How to Divide Fractions with Mixed Numbers?
To divide fractions with mixed numbers:
Convert mixed numbers to improper fractions:
- Multiply the whole number by the denominator.
- Add this to the numerator.
- Put the result over the original denominator.
Proceed with regular fraction division:
- Flip the second fraction.
- Multiply the fractions.
- Simplify the result.
Example: 2 1/4 ÷ 1 1/2
- Convert to improper fractions:
- 2 1/4 = (2*4 + 1) / 4 = 9/4
- 1 1/2 = (1*2 + 1) / 2 = 3/2
- Set up the division: (9/4) ÷ (3/2)
- Flip the second fraction and multiply: (9/4) * (2/3)
- Multiply numerators and denominators: 18/12
- Simplify: 3/2 or 1 1/2
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