Write 4 1/4 as a percent.
Understand the Problem
The question is asking how to convert the mixed number 4 1/4 into a percentage. To solve this, we will first convert the mixed number to an improper fraction and then to a decimal before finally converting that decimal into a percentage.
Answer
425%
Answer for screen readers
425%
Steps to Solve
- Convert the Mixed Number to an Improper Fraction
First, we take the whole number part of the mixed number (which is 4) and multiply it by the denominator of the fraction part (which is 4). Then, we add the numerator (which is 1) to this product.
So we have: $$ 4 \times 4 + 1 = 16 + 1 = 17 $$
Now we write this as an improper fraction: $$ 4 \frac{1}{4} = \frac{17}{4} $$
- Convert the Improper Fraction to a Decimal
Next, we divide the numerator by the denominator to convert the fraction to a decimal. $$ \frac{17}{4} = 4.25 $$
- Convert the Decimal to a Percentage
To change a decimal to a percentage, we multiply by 100.
So, we calculate: $$ 4.25 \times 100 = 425 $$
Thus, the final percentage is 425%.
425%
More Information
When converting mixed numbers to percentages, it's important to understand that the entire value (including the whole number) contributes to the percentage. A mixed number like $4 \frac{1}{4}$ can often yield a surprisingly large percentage.
Tips
- Forgetting to convert the mixed number to an improper fraction before calculation.
- Not multiplying by 100 when converting the decimal to a percentage.
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