11 divided by 1/6
Understand the Problem
The question is asking for the result of dividing 11 by 1/6. This can be interpreted as multiplying 11 by the reciprocal of 1/6, which is 6.
Answer
$66$
Answer for screen readers
The final answer is $66$.
Steps to Solve
-
Identify the operation
We need to divide 11 by $\frac{1}{6}$. This can be expressed as:
$$ 11 \div \frac{1}{6} $$ -
Convert division to multiplication
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{1}{6}$ is 6. Thus, we can rewrite the division as:
$$ 11 \div \frac{1}{6} = 11 \times 6 $$ -
Multiply out the numbers
Now perform the multiplication:
$$ 11 \times 6 = 66 $$
The final answer is $66$.
More Information
When dividing by a fraction, multiplying by its reciprocal simplifies the process. Understanding this concept helps in various mathematical operations involving fractions.
Tips
- Confusing division and multiplication operations. Always remember that dividing by a fraction means multiplying by its reciprocal.
- Forgetting to simplify expressions before calculating can lead to errors.
