11/6 divided by 2
Understand the Problem
The question is asking for the result of the division of the fraction 11/6 by the number 2. We will solve this by rewriting the division of a fraction by a whole number as the fraction multiplied by the reciprocal of the whole number.
Answer
$ \frac{11}{12} $
Answer for screen readers
The answer is $ \frac{11}{12} $.
Steps to Solve
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Rewrite the division as multiplication To divide the fraction $ \frac{11}{6} $ by the whole number $ 2 $, we can express this as: $$ \frac{11}{6} \div 2 = \frac{11}{6} \times \frac{1}{2} $$
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Multiply the fractions Now we multiply the fractions. We multiply the numerators together and the denominators together: $$ \frac{11 \times 1}{6 \times 2} = \frac{11}{12} $$
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Final result The result of the division of the fraction $ \frac{11}{6} $ by $ 2 $ is therefore: $$ \frac{11}{12} $$
The answer is $ \frac{11}{12} $.
More Information
Dividing a fraction by a whole number involves multiplying by the reciprocal of the whole number, which can help simplify the calculation. This concept is fundamental in fraction operations and is useful in various mathematical contexts.
Tips
- A common mistake is forgetting to take the reciprocal of the whole number. Always remember to convert division into multiplication by using the reciprocal.
