Converting fractions to percentages is a fundamental mathematical skill that simplifies the comparison of different values. Understanding how to express fractions like 14/20 as a percentage is essential in various real-life applications.
Converting 14/20 to a Percentage
To convert the fraction 14/20 to a percentage, follow these steps:
- Divide the Numerator by the Denominator: 1420=0.7\frac{14}{20} = 0.72014=0.7
- Multiply the Result by 100 to Get the Percentage: 0.7×100=70%0.7 \times 100 = 70\%0.7×100=70%
Therefore, 14/20 expressed as a percentage is 70%.
Alternative Method:
Another approach is to adjust the fraction so that the denominator is 100, making it easier to convert to a percentage:
- Determine the Factor to Scale the Denominator to 100: 10020=5\frac{100}{20} = 520100=5
- Multiply Both the Numerator and Denominator by This Factor: 14×520×5=70100\frac{14 \times 5}{20 \times 5} = \frac{70}{100}20×514×5=10070
This shows that 14/20 is equivalent to 70/100, which is 70%.
Practical Applications
Understanding that 14/20 equals 70% is useful in various contexts, such as:
- Academic Grading: Scoring 14 out of 20 on an exam translates to a 70% grade.
- Financial Calculations: If 14 out of 20 shares in a portfolio are profitable, it indicates a 70% success rate.
FAQ
- What is 14/20 as a decimal?
Dividing 14 by 20 gives 0.7. - How do you convert a fraction to a percentage?
Divide the numerator by the denominator to get a decimal, then multiply by 100 to get the percentage. - Is 14/20 in its simplest form?
Yes, 14/20 simplifies to 7/10, as both 14 and 20 can be divided by 2. - What is 7/10 as a percentage?
7/10 is equivalent to 70%. - Why is converting fractions to percentages useful?
It allows for easier comparison and understanding of proportions in various contexts.
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