Comprehensive Calculator Guide
Which is bigger, 3/4 or 2/3? This calculator tells you, with the difference between the two in lowest terms and each one as a decimal. 3/4 is larger by 1/12. Useful for homework and for comparing offers or measurements written with different denominators.
Cross-multiplying
To compare a/b with c/d, compare a × d with c × b: for 3/4 and 2/3, 9 beats 8, so 3/4 is larger. It is the same as rewriting both over 12: 9/12 against 8/12.
With equal denominators the larger numerator wins; with equal numerators the smaller denominator wins. Different-looking fractions can be equal: 2/6 = 1/3.
How to Use
- 01Enter the first fraction.
- 02Enter the second fraction.
- 03Read the comparison, the difference and the decimals.
Formula Used
a/b > c/d when a × d > c × b (positive denominators)Practical Examples
Example 1
3/4 > 2/3, by 1/12.
Example 2
5/8 > 3/5, by 1/40.
Example 3
2/6 = 1/3.
Important Tips
- Convert to decimals to order more than two fractions.
Common Mistakes to Avoid
- Comparing numerators alone when denominators differ.
Frequently Asked Questions
- How do I compare fractions?
- Cross-multiply and compare the products.
- Is 3/4 bigger than 2/3?
- Yes, by 1/12.
- How do I know two fractions are equal?
- Their cross products are equal.