Compare 10/11 and 9/10
Is 10/11 greater than 9/10?
Answer
Steps to compare fractions 10/11 and 9/10
Comparing fractions like 10/11 and 9/10 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 11 and 10. The smallest common multiple of 11 and 10 is 110. Therefore, 110 will be our common denominator.
Step 2: Convert the Fractions
Next, convert each fraction to an equivalent fraction with the common denominator.
To convert 10/11 to a fraction with a denominator of 110, multiply both the numerator (top number) and the denominator by 10. This gives:
To convert our second fraction 9/10 to a fraction with a denominator of 110, multiply both the numerator and the denominator by 11. This gives:
Step 3: Compare the Numerators
Now that the fractions have the same denominator, you can directly compare their numerators.
The numerators are 100 for 100/110 and 99 for 99/110.
Step 4: Determine the Larger Fraction
The fraction with the larger numerator is the greater fraction.
Since 100 (numerator of 100/110) is greater than 99 (numerator of 99/110):
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).
10/11 as a decimal = 10/11 = 0.909
9/10 as a decimal = 9/10 = 0.9
Since 0.909 is greater than 0.9, 10/11 is greater than 9/10.
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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
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Fraction Comparison Calculator
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