Comprehensive Calculator Guide
This calculator finds the reciprocal, or multiplicative inverse, of any number or fraction: the number that multiplies with it to give 1. The reciprocal of 3/4 is 4/3, of 5 is 1/5 = 0.2, and of 0.25 is 4. Dividing by a number is multiplying by its reciprocal.
Reciprocals
Swap numerator and denominator: a/b becomes b/a. Zero has no reciprocal. To divide by a fraction, multiply by its reciprocal: 6 ÷ 3/4 = 6 × 4/3 = 8.
How to Use
- Enter the number or numerator.
- Add the denominator for a fraction (optional).
- Press “Calculate” to see the reciprocal as a fraction and decimal.
Formula Used
Reciprocal of a/b = b/a | x × 1/x = 1
Practical Examples
- Example 1
- 3/4 → 4/3.
- Example 2
- 5 → 1/5.
- Example 3
- 0.25 → 4.
Important Tips
- Convert mixed numbers first.
- Flip only the second fraction when dividing.
- Check by multiplying.
Common Mistakes to Avoid
- Flipping a mixed number directly.
- Flipping the wrong fraction.
- Changing the sign.
Frequently Asked Questions
- Reciprocal of 8?
- 1/8.
- Of 2/3?
- 3/2.
- Why none for zero?
- Zero times anything is zero.