What is 33 1/3 as a percentage?
Understand the Problem
The question is asking how to convert the mixed number 33 1/3 into a percentage. This involves converting the fraction into a decimal and then multiplying by 100 to find the percentage.
Answer
$3333.33\%$
Answer for screen readers
The final answer is $3333.33%$.
Steps to Solve
- Convert the mixed number to an improper fraction
To convert the mixed number $33 \frac{1}{3}$ into an improper fraction, we use the formula:
$$ \text{Improper Fraction} = \text{Whole Part} \times \text{Denominator} + \text{Numerator} $$
For our mixed number:
$$ 33 \frac{1}{3} = 33 \times 3 + 1 = 99 + 1 = 100 $$
So the improper fraction is $\frac{100}{3}$.
- Convert the improper fraction to a decimal
Next, we need to convert $\frac{100}{3}$ into a decimal. We do this by performing the division:
$$ 100 \div 3 \approx 33.3333 $$
- Multiply by 100 to find the percentage
Now that we have the decimal, we can find the percentage by multiplying the decimal by 100:
$$ 33.3333 \times 100 = 3333.33 $$
- Round to the desired decimal places if necessary
Depending on how precise we want to be, we might round this number. In this case, we will keep it as $3333.33%$.
The final answer is $3333.33%$.
More Information
When converting mixed numbers to percentages, it’s important to always express the fraction first and then apply the percentage formula. This method can be used for any mixed numbers.
Tips
- Forgetting to convert a mixed number properly: Some might skip the step to convert to an improper fraction.
- Incorrect division: Ensure you perform long division accurately when converting the fraction into a decimal.
- Misapplying the percentage formula: Always remember to multiply the decimal by 100 to get the correct percentage.
