How to convert 3 2/5 in percent?
Understand the Problem
The question is asking how to convert the mixed number 3 2/5 into a percentage. This involves converting the fraction into a decimal and then multiplying by 100 to get the percentage.
Answer
The percentage equivalent is \( 340\% \).
Answer for screen readers
The percentage equivalent of the mixed number ( 3 \frac{2}{5} ) is ( 340% ).
Steps to Solve
- Convert the mixed number to an improper fraction
To convert the mixed number ( 3 \frac{2}{5} ) to an improper fraction, we multiply the whole number by the denominator and then add the numerator. The formula is:
$$ \text{Improper Fraction} = (3 \times 5) + 2 = 15 + 2 = 17 $$
So, the improper fraction is ( \frac{17}{5} ).
- Convert the improper fraction to a decimal
Next, we divide the numerator by the denominator to convert the improper fraction to a decimal:
$$ 17 \div 5 = 3.4 $$
- Convert the decimal to a percentage
To convert the decimal into a percentage, we multiply by 100:
$$ 3.4 \times 100 = 340 $$
Thus, ( 3 \frac{2}{5} ) as a percentage is ( 340% ).
The percentage equivalent of the mixed number ( 3 \frac{2}{5} ) is ( 340% ).
More Information
Converting mixed numbers to percentages involves several steps. It’s helpful to remember that converting to an improper fraction can simplify the calculation, and when going from decimal to percentage, multiplying by 100 is the key step.
Tips
- Forgetting to convert the mixed number to an improper fraction first, which can lead to incorrect calculations.
- Misplacing the decimal point when converting between decimal and percentage formats.
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