To convert the fraction 35/50 into a percentage, we first need to simplify the fraction and then divide the numerator by the denominator, finally multiplying by 100 to get the percentage value.
Converting Fraction to Percentage
The fraction 35⁄50 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5. So, 35 divided by 5 equals 7, and 50 divided by 5 equals 10. Thus, the simplified fraction is 7⁄10.
Simplification and Calculation
Now, to convert 7⁄10 into a percentage, we divide the numerator by the denominator: 7 divided by 10 equals 0.7. To express this as a percentage, we multiply by 100: 0.7 * 100 = 70%. Therefore, 35⁄50 as a percentage is 70%.
| Original Fraction | Simplified Fraction | Percentage |
|---|---|---|
| 35/50 | 7/10 | 70% |
Understanding Percentages
Percentages are a way to express a value as a fraction of 100. They are commonly used in various fields such as finance, statistics, and science to represent proportions, increases, decreases, and other forms of change. The term “percent” comes from the Latin words “per centum,” meaning “by one hundred.”
Applications of Percentages
Percentages have numerous applications in real-world scenarios. For instance, they are used to calculate interest rates in banking, discounts in retail, and growth rates in economics. Understanding how to convert fractions into percentages and vice versa is crucial for making informed decisions in these areas.
- Financial Calculations: Interest rates, investments, and savings are often expressed in percentages.
- Statistical Analysis: Percentages help in understanding proportions and distributions within datasets.
- Scientific Research: Percentages are used to express changes, concentrations, and other measurements in scientific studies.
How do I convert a percentage back into a fraction?
+To convert a percentage back into a fraction, you first divide by 100 to remove the percentage sign, and then you can simplify the resulting fraction if necessary. For example, 25% becomes 0.25 when divided by 100, which can then be expressed as the fraction 1/4 by dividing both the numerator and the denominator by 0.25 or directly recognizing it as a quarter.
In conclusion, converting fractions to percentages is a fundamental mathematical operation that involves simplifying the fraction and then multiplying by 100. This process is essential for understanding and working with proportions and changes in various fields. The example of converting 35⁄50 to a percentage, which equals 70%, illustrates this process clearly.
