19 out of 40 as a percentage
Understand the Problem
The question is asking to convert a fraction into a percentage. To do this, we need to divide 19 by 40 and then multiply by 100 to get the percentage value.
Answer
The percentage equivalent of the fraction $\frac{19}{40}$ is 47.5%.
Answer for screen readers
The final answer is 47.5%.
Steps to Solve
- Divide the fraction First, take the numerator (19) and divide it by the denominator (40):
$$ \text{Fraction} = \frac{19}{40} $$
Calculating this gives:
$$ \frac{19}{40} = 0.475 $$
- Multiply by 100 Next, to convert the decimal into a percentage, multiply the result by 100:
$$ \text{Percentage} = 0.475 \times 100 $$
Calculating this yields:
$$ \text{Percentage} = 47.5 $$
The final answer is 47.5%.
More Information
To convert a fraction to a percentage, it's essential to first convert the fraction to a decimal by dividing the numerator by the denominator, and then multiplying by 100—this gives a quick and clear understanding of the part-to-whole relationship.
Tips
- Forgetting to multiply by 100: It's easy to forget this last step, so remember it's crucial for converting to percent.
- Misplacing the decimal: When dividing, make sure to move the decimal point correctly to avoid calculation errors.
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