Compare 13/28 and 15/17
Is 13/28 greater than 15/17?
Answer
Steps to compare fractions 13/28 and 15/17
Comparing fractions like 13/28 and 15/17 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 28 and 17. The smallest common multiple of 28 and 17 is 476. Therefore, 476 will be our common denominator.
Step 2: Convert the Fractions
Next, convert each fraction to an equivalent fraction with the common denominator.
To convert 13/28 to a fraction with a denominator of 476, multiply both the numerator (top number) and the denominator by 17. This gives:
To convert our second fraction 15/17 to a fraction with a denominator of 476, multiply both the numerator and the denominator by 28. This gives:
Step 3: Compare the Numerators
Now that the fractions have the same denominator, you can directly compare their numerators.
The numerators are 221 for 221/476 and 420 for 420/476.
Step 4: Determine the Larger Fraction
The fraction with the larger numerator is the greater fraction.
Since 221 (numerator of 221/476) is not greater than 420 (numerator of 420/476):
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).
13/28 as a decimal = 13/28 = 0.464
15/17 as a decimal = 15/17 = 0.882
Since 0.464 is not greater than 0.882, 13/28 is not greater than 15/17.
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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 5/9 | 9/10 is greater than 5/9 | 0.9 > 0.556 |
| 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 13/28 greater than 15/17? (The answer is: No, 13/28 is not greater than 15/17 (it is less)).
Users can easily input two fractions in separate fields. The calculator accepts fractions in the form of numerators and denominators (e.g., '13/28', '15/17')
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 clearly displays both fractions in standard numerator-over-denominator notation, making the comparison easy to read at a glance.
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.