What is 47/50 as a decimal? What is 47/50 as a percentage! Really need help
The Correct Answer and Explanation is:
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47/50 as a Decimal and Percentage:
- Decimal: 4750=0.94\frac{47}{50} = 0.945047=0.94
- Percentage: 4750×100=94%\frac{47}{50} \times 100 = 94\%5047×100=94%
Detailed Explanation
Understanding fractions, decimals, and percentages is a key part of mathematics, especially in real-world situations like grades, discounts, and measurements. Let’s break down what 47/50 means and how to convert it to both a decimal and a percentage, step by step.
1. Fraction to Decimal
A fraction like 47/50 represents division: 47 divided by 50.4750=47÷50=0.94\frac{47}{50} = 47 \div 50 = 0.945047=47÷50=0.94
This means that 47 is 94 hundredths of 50. You can also check this on a calculator: 47 ÷ 50 = 0.94. Decimals are another way to express parts of a whole, and here, 0.94 means 94 out of 100, or very close to one whole.
2. Fraction to Percentage
To convert a decimal to a percentage, multiply by 100:0.94×100=94%0.94 \times 100 = 94\%0.94×100=94%
So, 47/50 as a percentage is 94%. Alternatively, you can multiply the fraction directly:4750×100=94%\frac{47}{50} \times 100 = 94\%5047×100=94%
Why This Matters
Understanding these conversions helps in many situations. For example, if a student scores 47 out of 50 on a test, their grade is 94%, which is excellent. In business, if a store sells 47 out of 50 products in stock, it has sold 94% of its inventory. This helps in performance evaluation, target setting, and analysis.
Converting fractions to decimals and percentages allows for easier comparison and understanding. While 47/50 is mathematically accurate, 94% is more intuitive for most people, especially when interpreting results quickly.
In conclusion, 47/50 = 0.94 = 94%, and knowing how to convert these forms is both useful and necessary in academic and everyday life.
