Is 1/3 and 1/3 equal to 2/3?
Understand the Problem
The question is asking whether the sum of two fractions, specifically 1/3 and 1/3, equals 2/3. This involves basic addition of fractions.
Answer
The sum is \( \frac{2}{3} \).
Answer for screen readers
The sum of ( \frac{1}{3} + \frac{1}{3} ) is ( \frac{2}{3} ).
Steps to Solve
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Identify the fractions to add We're adding the fractions ( \frac{1}{3} ) and ( \frac{1}{3} ).
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Find a common denominator In this case, the denominators of both fractions are already the same (3), so we can proceed without changing them.
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Add the numerators Now, we can add the numerators together: [ \frac{1 + 1}{3} = \frac{2}{3} ]
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Write the final sum The sum of the fractions is ( \frac{2}{3} ).
The sum of ( \frac{1}{3} + \frac{1}{3} ) is ( \frac{2}{3} ).
More Information
When adding fractions with the same denominator, simply add the numerators while keeping the denominator the same. This principle is fundamental in fraction arithmetic and helps to simplify many mathematical operations.
Tips
- A common mistake is forgetting to add the numerators properly. It's essential to remember that both fractions need their numerators summed, while the denominator remains unchanged.
- Another mistake might be misinterpreting the fractions' setup, like misreading ( \frac{a}{b} + \frac{a}{c} ) when adding fractions with different denominators.
