Write 37 out of 50 as a percentage.
The Correct Answer and Explanation is :
To convert a fraction to a percentage, you multiply the fraction by 100. In this case, we want to convert ( \frac{37}{50} ) to a percentage. Here’s how the calculation works:
[
\text{Percentage} = \left( \frac{37}{50} \right) \times 100
]
Calculating this gives:
[
\text{Percentage} = \left( 0.74 \right) \times 100 = 74\%
]
Therefore, ( \frac{37}{50} ) is equal to 74%.
Explanation
Understanding how to convert fractions to percentages is a fundamental mathematical skill that is widely applicable in various fields, including finance, statistics, and everyday calculations. A fraction represents a part of a whole, while a percentage expresses that same relationship in terms of 100. This means that percentages provide a clearer understanding of how one quantity relates to another, especially when comparing different values.
To convert a fraction to a percentage, you can follow these steps:
- Divide the Numerator by the Denominator: In our example, divide 37 (the numerator) by 50 (the denominator). This division gives you a decimal (in this case, 0.74).
- Multiply by 100: Once you have the decimal, multiply it by 100 to convert it into a percentage. The multiplication shifts the decimal point two places to the right, effectively giving you the value out of 100.
- Interpret the Result: In this instance, a percentage of 74% means that 37 out of 50 represents a little over two-thirds of the whole (since ( \frac{2}{3} \approx 66.67\%)).
Using this method allows you to convert any fraction into a percentage, making it easier to compare with other percentages or to analyze data quantitatively. Understanding this conversion can be particularly helpful in scenarios like grading systems, financial statements, and statistical analyses, where interpreting ratios and proportions accurately is crucial.