Work out 4/11 + 2/11 + 5/11. Give your answer in its simplest form.
Understand the Problem
The question is asking us to perform the addition of three fractions: 4/11, 2/11, and 5/11, and then simplify the result to its simplest form.
Answer
1
Answer for screen readers
The final answer is ( 1 ).
Steps to Solve
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Identify the fractions We need to add the fractions: $$ \frac{4}{11}, \frac{2}{11}, \frac{5}{11} $$
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Add the numerators Since the denominators are the same (11), we can add the numerators directly: $$ 4 + 2 + 5 = 11 $$
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Combine the fractions Now, we can combine the fractions: $$ \frac{4 + 2 + 5}{11} = \frac{11}{11} $$
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Simplify the fraction The fraction ( \frac{11}{11} ) simplifies to: $$ 1 $$
The final answer is ( 1 ).
More Information
When the numerator and denominator of a fraction are the same, it simplifies to 1. This is an important property of fractions.
Tips
- Adding the denominators instead of the numerators: Remember that when the denominators are the same, only the numerators should be summed.
- Forgetting to simplify the fraction: Always check if the resulting fraction can be simplified.
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