Compare 15/13 and 8/11
Is 15/13 greater than 8/11?
Answer
Steps to compare fractions 15/13 and 8/11
Comparing fractions like 15/13 and 8/11 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 13 and 11. The smallest common multiple of 13 and 11 is 143. Therefore, 143 will be our common denominator.
Step 2: Convert the Fractions
Next, convert each fraction to an equivalent fraction with the common denominator.
To convert 15/13 to a fraction with a denominator of 143, multiply both the numerator (top number) and the denominator by 11. This gives:
To convert our second fraction 8/11 to a fraction with a denominator of 143, multiply both the numerator and the denominator by 13. This gives:
Step 3: Compare the Numerators
Now that the fractions have the same denominator, you can directly compare their numerators.
The numerators are 165 for 165/143 and 104 for 104/143.
Step 4: Determine the Larger Fraction
The fraction with the larger numerator is the greater fraction.
Since 165 (numerator of 165/143) is greater than 104 (numerator of 104/143):
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).
15/13 as a decimal = 15/13 = 1.154
8/11 as a decimal = 8/11 = 0.727
Since 1.154 is greater than 0.727, 15/13 is greater than 8/11.
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See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Dividing Fractions Calculator - Divide fractions, mixed numbers and whole numbers step by step
- Fraction to Mixed Number Converter - Convert an Improper Fraction to a Mixed Number
- Multiplying Fractions Calculator - Multiply fractions, mixed numbers and whole numbers step by step
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fractions
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Fraction Comparison Table
| Fractions | Comparison | Decimal Form |
|---|---|---|
| 9/10 and 6/7 | 9/10 is greater than 6/7 | 0.9 > 0.857 |
| 9/10 and 7/8 | 9/10 is greater than 7/8 | 0.9 > 0.875 |
| 9/10 and 7/9 | 9/10 is greater than 7/9 | 0.9 > 0.778 |
| 9/10 and 7/10 | 9/10 is greater than 7/10 | 0.9 > 0.7 |
| 9/10 and 8/9 | 9/10 is greater than 8/9 | 0.9 > 0.889 |
| 9/10 and 8/10 | 9/10 is greater than 8/10 | 0.9 > 0.8 |
| 9/10 and 9/10 | 9/10 is equal to 9/10 | 0.9 = 0.9 |
| 9/16 and 7/12 | 9/16 is not greater than 7/12 (it is less) | 0.563 < 0.583 |
| 10/12 and 11/14 | 10/12 is greater than 11/14 | 0.833 > 0.786 |
| 10/18 and 11/12 | 10/18 is not greater than 11/12 (it is less) | 0.556 < 0.917 |
| 11/12 and 10/11 | 11/12 is greater than 10/11 | 0.917 > 0.909 |
| 11/20 and 8/15 | 11/20 is greater than 8/15 | 0.55 > 0.533 |
| 13/22 and 14/25 | 13/22 is greater than 14/25 | 0.591 > 0.56 |
| 13/24 and 25/27 | 13/24 is not greater than 25/27 (it is less) | 0.542 < 0.926 |
| 13/28 and 15/17 | 13/28 is not greater than 15/17 (it is less) | 0.464 < 0.882 |
| 15/13 and 8/11 | 15/13 is greater than 8/11 | 1.154 > 0.727 |
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 15/13 greater than 8/11? (The answer is: Yes, 15/13 is greater than 8/11).
Users can easily input two fractions in separate fields. The calculator accepts fractions in the form of numerators and denominators (e.g., '15/13', '8/11')
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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.