Comprehensive Calculator Guide
This calculator puts three to five fractions in order from least to greatest, with = between equal ones. 3/4, 2/3 and 5/8 order as 5/8 < 2/3 < 3/4. It shows two methods — a common denominator and decimals — and gives the reverse order from greatest to least.
Two ways to order fractions
Find the least common denominator — 24 for quarters, thirds and eighths — and rewrite each fraction: 18/24, 16/24, 15/24. With equal denominators, the bigger numerator is the bigger fraction.
Or divide each numerator by its denominator: 0.75, 0.667, 0.625. Equal values, like 1/2 and 2/4, are equivalent and get an = sign.
How to Use
- Enter the numerators and denominators of the first three fractions.
- Add a fourth and fifth if you like, or leave them empty.
- Press “Order” to see them least to greatest, with the working.
Formula Used
a/b < c/d when a × d < c × b (positive denominators)
Practical Examples
- Example 1
- 3/4, 2/3, 5/8 → 5/8 < 2/3 < 3/4.
- Example 2
- 1/2, 3/5, 2/4, 7/10, 1/3 → 1/3 < 1/2 = 2/4 < 3/5 < 7/10.
- Example 3
- 7/12, 5/9, 3/4 → 5/9 < 7/12 < 3/4.
Important Tips
- With equal numerators, the bigger denominator is the smaller fraction.
Common Mistakes to Avoid
- Comparing numerators before matching denominators.
Frequently Asked Questions
- How do I order fractions least to greatest?
- Match denominators and order by numerator, or compare decimals.
- Which is bigger, 2/3 or 3/4?
- 3/4: 8/12 versus 9/12.
- How do I find the least common denominator?
- It’s the least common multiple of the denominators.