3 2/10 - 1/10 =
Understand the Problem
The question is asking to perform the subtraction of two fractions: 3 2/10 - 1/10. We will need to convert the mixed number into an improper fraction for easier calculation before subtracting.
Answer
The answer is \(3 \frac{1}{10}\).
Answer for screen readers
The final answer is (3 \frac{1}{10}).
Steps to Solve
- Convert Mixed Number to Improper Fraction
To convert the mixed number (3 \frac{2}{10}) to an improper fraction, we multiply the whole number by the denominator and add the numerator.
[ 3 \frac{2}{10} = \frac{(3 \times 10) + 2}{10} = \frac{30 + 2}{10} = \frac{32}{10} ]
- Rewrite the Subtraction Problem
Now, we rewrite the subtraction problem with the improper fractions:
[ \frac{32}{10} - \frac{1}{10} ]
- Perform the Subtraction
Since the denominators are the same, subtract the numerators directly:
[ \frac{32 - 1}{10} = \frac{31}{10} ]
- Convert Back to Mixed Number (if needed)
To express (\frac{31}{10}) as a mixed number, divide the numerator by the denominator.
[ 31 \div 10 = 3 \quad \text{(remainder 1)} ]
This gives us:
[ 3 \frac{1}{10} ]
The final answer is (3 \frac{1}{10}).
More Information
The process involved converting a mixed number to an improper fraction, performing the subtraction, and converting back to a mixed number. This is a common method for handling fractions, making calculations easier.
Tips
- Not converting the mixed number to an improper fraction before performing operations.
- Forgetting to simplify the resulting fraction or mixed number after subtraction.
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