3 2/10 - 1/10 =
Understand the Problem
The question is asking us to perform a subtraction operation involving two fractions: 3 2/10 and 1/10. We will convert these mixed and improper fractions to a common form if necessary and then subtract them accordingly.
Answer
The answer is $3 \frac{1}{10}$.
Answer for screen readers
The final answer is $3 \frac{1}{10}$ or as an improper fraction, $\frac{31}{10}$.
Steps to Solve
- Convert the mixed number to an improper fraction
The mixed number $3 \frac{2}{10}$ needs to be converted to an improper fraction.
To convert, multiply the whole number (3) by the denominator (10) and add the numerator (2):
$$ 3 \times 10 + 2 = 30 + 2 = 32 $$
So, $3 \frac{2}{10} = \frac{32}{10}$.
- Set up the subtraction of fractions
Now, we can set up the subtraction with the fractions we have:
$$ \frac{32}{10} - \frac{1}{10} $$
- Performing the subtraction
Since the fractions have a common denominator (10), we can easily subtract the numerators:
$$ \frac{32 - 1}{10} = \frac{31}{10} $$
- Convert back to a mixed number (if necessary)
If desired, we can convert the improper fraction back to a mixed number:
Divide the numerator by the denominator:
$$ 31 \div 10 = 3 \text{ R } 1 $$
So, $31/10$ can be written as $3 \frac{1}{10}$.
The final answer is $3 \frac{1}{10}$ or as an improper fraction, $\frac{31}{10}$.
More Information
Subtraction of fractions is straightforward when they share a common denominator. In this case, both fractions were converted into forms that made the subtraction trivial. Mixed numbers can always be returned to improper fractions for easier arithmetic.
Tips
- Forgetting to convert mixed numbers to improper fractions before performing operations.
- Not using a common denominator for subtraction.
- Miscalculating the subtraction of the numerators.
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