What is the percentage of 5/12?
Understand the Problem
The question is asking for the percentage equivalent of the fraction 5/12. To solve this, we will divide 5 by 12 and then multiply the result by 100 to convert it into a percentage.
Answer
Approximately \( 41.67\% \)
Answer for screen readers
The percentage equivalent of the fraction ( \frac{5}{12} ) is approximately ( 41.67% ).
Steps to Solve
- Divide the Numerator by the Denominator
To begin, divide the numerator (5) by the denominator (12): $$ \frac{5}{12} = 0.41666666\ldots $$
- Convert the Decimal to a Percentage
Next, take the decimal result and multiply it by 100 to convert it into a percentage: $$ 0.41666666 \ldots \times 100 = 41.66666666\ldots $$
- Round the Percentage (if needed)
Finally, you may want to round the percentage to a suitable number of decimal places. Typically, it's rounded to two decimal places: $$ 41.67% $$
The percentage equivalent of the fraction ( \frac{5}{12} ) is approximately ( 41.67% ).
More Information
The process of converting a fraction to a percentage involves simple division and multiplication. This method can be applied to any fraction to determine its percentage value. It's interesting to note that ( \frac{5}{12} ) is a repeating decimal when calculated.
Tips
- Failing to multiply the decimal by 100, which leads to leaving the answer in decimal form.
- Not rounding correctly after conversion; make sure to clarify how many decimal places are needed.
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