3 2/10 - 1/10 =
Understand the Problem
The question is asking us to subtract two fractions: 3 2/10 and 1/10. We will convert 3 2/10 into an improper fraction and then perform the subtraction.
Answer
The result is $\frac{31}{10}$ or $3 \frac{1}{10}$.
Answer for screen readers
The final result is $\frac{31}{10}$ or $3 \frac{1}{10}$.
Steps to Solve
- Convert mixed number to improper fraction
To subtract the fractions, first convert $3 \frac{2}{10}$ into an improper fraction.
The formula for converting a mixed number to an improper fraction is: $$ \text{Improper Fraction} = \frac{( \text{Whole Number} \times \text{Denominator} + \text{Numerator})}{\text{Denominator}} $$
Applying this: $$ 3 \frac{2}{10} = \frac{(3 \times 10 + 2)}{10} = \frac{32}{10} $$
- Write out the subtraction
Now that we have the improper fraction, we can write the subtraction: $$ \frac{32}{10} - \frac{1}{10} $$
- Subtract the fractions
Since the fractions have the same denominator, we can subtract the numerators directly: $$ \frac{32 - 1}{10} = \frac{31}{10} $$
- Optional: Convert back to mixed number
If necessary, convert $\frac{31}{10}$ back to a mixed number: $$ 31 \div 10 = 3 \text{ remainder } 1 \quad \Rightarrow \quad 3 \frac{1}{10} $$
The final result is $\frac{31}{10}$ or $3 \frac{1}{10}$.
More Information
The answer represents the subtraction of two fractions. The fraction $\frac{31}{10}$ is an improper fraction that can also be expressed as a mixed number, $3 \frac{1}{10}$.
Tips
- Forgetting to convert the mixed number to an improper fraction before performing subtraction.
- Miscalculating the subtraction of the numerators.
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