Comprehensive Calculator Guide
This calculator gives a fraction in lowest terms and then equivalent fractions made by multiplying the top and bottom by 2, 3, 4 and 5, with the decimal value. 6/8 reduces to 3/4 and is equivalent to 6/8, 9/12, 12/16 and 15/20 — all 0.75. Handy for homework and for matching denominators before adding or comparing fractions.
What makes fractions equivalent
Multiplying or dividing the numerator and denominator by the same non-zero number leaves the value unchanged; dividing by the greatest common divisor gives lowest terms.
To check two fractions, cross-multiply: a/b and c/d are equivalent when a × d = b × c. For 3/4 and 9/12, 3 × 12 = 4 × 9 = 36.
How to Use
- Enter the numerator.
- Enter the denominator (not zero).
- Press “Find fractions” to see lowest terms, four equivalents and the decimal.
Formula Used
a/b = (a × k) ÷ (b × k) for any non-zero k
Practical Examples
- Example 1
- 6/8 → 3/4; 6/8, 9/12, 12/16, 15/20; 0.75.
- Example 2
- 2/3 → 4/6, 6/9, 8/12, 10/15; 0.6667.
Important Tips
- To add fractions, find equivalents with the least common denominator.
Common Mistakes to Avoid
- Adding the same number to top and bottom: 3/4 isn’t 4/5.
Frequently Asked Questions
- What are equivalent fractions?
- Fractions with different numbers but the same value, like 1/2, 2/4 and 3/6.
- How do I find an equivalent fraction?
- Multiply the top and bottom by the same number.
- Are 2/3 and 4/6 equivalent?
- Yes: 2 × 6 = 3 × 4.