Compare 1/3 and 1/13
Is 1/3 greater than 1/13?
Steps to compare fractions 1/3 and 1/13
Comparing fractions like 1/3 (⅓) and 1/13 involves determining which fraction is greater or if they are equal. Here are the steps to compare these fractions:
Step 1: Find a Common Denominator
The first step is to find a common denominator for the fractions. The denominator is the bottom number in a fraction. A common denominator is a number that both denominators can divide into without a remainder. In this case, the denominators are 3 and 13. The smallest common multiple of 3 and 13 is 39. Therefore, 39 will be our common denominator.
Step 2: Convert the Fractions
Next, convert each fraction to an equivalent fraction with the common denominator.
To convert 1/3 to a fraction with a denominator of 39, multiply both the numerator (top number) and the denominator by 13. This gives:
To convert our second fraction 1/13 to a fraction with a denominator of 39, multiply both the numerator and the denominator by 3. This gives:
Step 3: Compare the Numerators
Now that the fractions have the same denominator, you can directly compare their numerators.
The numerators are 13 for 13/39 and 3 for 3/39.
Step 4: Determine the Larger Fraction
The fraction with the larger numerator is the greater fraction.
Since 13 (numerator of 13/39) is greater than 3 (numerator of 3/39):
Conclusion
Therefore,
Another way to figure out which fraction is larger is to convert them into decimal numbers.
To convert a fraction to a decimal, you divide the numerator (top number) by the denominator (bottom number).
1/3 as a decimal = 1/3 = 0.333
1/13 as a decimal = 1/13 = 0.077
Since 0.333 is greater than than 0.077, 1/3 is greater than 1/13.
See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Fraction to Mixed Number Converter - Convert an Improper Fraction to a Mixed Number
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fraction
<a href="https://calculat.io/en/number/fraction-greater-compare/1--3--1--13">Is 1/3 greater than 1/13? - Calculatio</a>
Fraction Comparison Table
| Fractions | Comparison | Decimal Form |
|---|---|---|
| 1/2 and 7/9 | 1/2 is not greater than 7/9 (it is less) | 0.5 < 0.778 |
| 1/2 and 7/10 | 1/2 is not greater than 7/10 (it is less) | 0.5 < 0.7 |
| 1/2 and 7/15 | 1/2 is greater than 7/15 | 0.5 > 0.467 |
| 1/2 and 8/9 | 1/2 is not greater than 8/9 (it is less) | 0.5 < 0.889 |
| 1/2 and 9/10 | 1/2 is not greater than 9/10 (it is less) | 0.5 < 0.9 |
| 1/3 and 1/2 | 1/3 is not greater than 1/2 (it is less) | 0.333 < 0.5 |
| 1/3 and 1/4 | 1/3 is greater than 1/4 | 0.333 > 0.25 |
| 1/3 and 1/5 | 1/3 is greater than 1/5 | 0.333 > 0.2 |
| 1/3 and 1/6 | 1/3 is greater than 1/6 | 0.333 > 0.167 |
| 1/3 and 1/7 | 1/3 is greater than 1/7 | 0.333 > 0.143 |
| 1/3 and 1/8 | 1/3 is greater than 1/8 | 0.333 > 0.125 |
| 1/3 and 1/9 | 1/3 is greater than 1/9 | 0.333 > 0.111 |
| 1/3 and 1/10 | 1/3 is greater than 1/10 | 0.333 > 0.1 |
| 1/3 and 1/11 | 1/3 is greater than 1/11 | 0.333 > 0.091 |
| 1/3 and 1/12 | 1/3 is greater than 1/12 | 0.333 > 0.083 |
| 1/3 and 1/13 | 1/3 is greater than 1/13 | 0.333 > 0.077 |
| 1/3 and 1/14 | 1/3 is greater than 1/14 | 0.333 > 0.071 |
| 1/3 and 1/15 | 1/3 is greater than 1/15 | 0.333 > 0.067 |
| 1/3 and 2/3 | 1/3 is not greater than 2/3 (it is less) | 0.333 < 0.667 |
| 1/3 and 2/4 | 1/3 is not greater than 2/4 (it is less) | 0.333 < 0.5 |
| 1/3 and 2/5 | 1/3 is not greater than 2/5 (it is less) | 0.333 < 0.4 |
| 1/3 and 2/6 | 1/3 is not greater than 2/6 (they are equal) | 0.333 = 0.333 |
| 1/3 and 2/7 | 1/3 is greater than 2/7 | 0.333 > 0.286 |
| 1/3 and 2/9 | 1/3 is greater than 2/9 | 0.333 > 0.222 |
| 1/3 and 2/10 | 1/3 is greater than 2/10 | 0.333 > 0.2 |
| 1/3 and 2/15 | 1/3 is greater than 2/15 | 0.333 > 0.133 |
| 1/3 and 3/4 | 1/3 is not greater than 3/4 (it is less) | 0.333 < 0.75 |
| 1/3 and 3/5 | 1/3 is not greater than 3/5 (it is less) | 0.333 < 0.6 |
| 1/3 and 3/6 | 1/3 is not greater than 3/6 (it is less) | 0.333 < 0.5 |
| 1/3 and 3/8 | 1/3 is not greater than 3/8 (it is less) | 0.333 < 0.375 |
| 1/3 and 3/9 | 1/3 is not greater than 3/9 (they are equal) | 0.333 = 0.333 |
Fraction Comparison Calculator
The Fraction Comparison Calculator is a highly intuitive and user-friendly online tool designed to compare two fractions and determine which one is greater. It serves as an invaluable resource for students, teachers, and professionals alike, simplifying the often challenging task of fraction comparison.
For example, it can help you find out is 1/3 greater than 1/13? (The answer is: Yes, 1/3 is greater than 1/13).
Users can easily input two fractions in separate fields. The calculator accepts fractions in the form of numerators and denominators (e.g., '1/3', '1/13')
The calculator simplifies both fractions to their lowest terms before comparison, ensuring accuracy in the results.
Upon entering the fractions, the calculator instantly compares them and displays which fraction is greater, or if they are equal.
Alongside the numerical result, the calculator provides a graphical representation of the two fractions, helping users to visually grasp the difference in their size.
For educational purposes, the tool offers a step-by-step explanation of how the comparison was made, including the process of finding a common denominator (if applicable) and comparing the numerators.
This calculator is not only a practical tool for quick comparisons but also an educational resource that enhances the understanding of fractions. Whether it’s for homework, teaching, or daily calculations, the Fraction Comparison Calculator is designed to make fraction comparison straightforward and accessible for everyone.