41/46 as a percentage
Understand the Problem
The question is asking how to convert the fraction 41/46 into a percentage, which involves multiplying the fraction by 100 to find the equivalent value in percent.
Answer
The percentage equivalent of the fraction $\frac{41}{46}$ is approximately 89.13%.
Answer for screen readers
The percentage equivalent of the fraction $\frac{41}{46}$ is approximately 89.13%.
Steps to Solve
- Set up the fraction for conversion
To convert the fraction $\frac{41}{46}$ to a percentage, you will multiply it by 100.
- Multiply the fraction by 100
Now, perform the multiplication: $$ \frac{41}{46} \times 100 $$
- Calculate the result
First, calculate the multiplication: $$ \frac{41 \times 100}{46} = \frac{4100}{46} $$
Next, divide 4100 by 46: $$ 4100 \div 46 \approx 89.13 $$
- State the final percentage
Now that you have the result, express it as a percentage: The percentage equivalent of the fraction $\frac{41}{46}$ is approximately 89.13%.
The percentage equivalent of the fraction $\frac{41}{46}$ is approximately 89.13%.
More Information
To convert a fraction to a percentage, the general rule is to multiply the fraction by 100. This process is important in many real-life contexts, such as calculating discounts, statistics, and probabilities.
Tips
- A common mistake is forgetting to multiply by 100, which can lead to reporting the fraction itself instead of the percentage.
- Another mistake could be incorrect division; always double-check your division to ensure accuracy.
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