Work out 5/13 + 2/13 + 6/13. Give your answer in its simplest form.
Understand the Problem
The question is asking to perform the addition of three fractions with a common denominator and to express the final answer in its simplest form.
Answer
$1$
Answer for screen readers
The final answer is $1$.
Steps to Solve
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Identify the common denominator Since all fractions have the same denominator (13), we can directly add the numerators.
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Add the numerators Now, we will add the numerators of the fractions: $$ 5 + 2 + 6 $$
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Calculate the sum of the numerators Perform the addition: $$ 5 + 2 = 7 $$ $$ 7 + 6 = 13 $$
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Combine the result over the common denominator Place the sum of the numerators over the common denominator: $$ \frac{13}{13} $$
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Simplify the fraction The fraction $\frac{13}{13}$ simplifies to: $$ 1 $$
The final answer is $1$.
More Information
When adding fractions with a common denominator, simply add the numerators and keep the same denominator. If the result equals the denominator, the fraction simplifies to $1$.
Tips
- Forgetting to simplify after adding the fractions can lead to a wrong answer. Always check if the numerator is the same as the denominator.
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