Write the ratio 41/50 as a percent.
The correct answer and explanation is:
Answer: 4150=82%\frac{41}{50} = 82\%
Explanation (300 words):
To write the fraction 4150\frac{41}{50} as a percent, you need to convert the fraction into a number out of 100 because a percent is simply a ratio out of 100.
Step 1: Understand the fraction and percent connection
Percents are another way to express fractions or decimals. Specifically, “percent” means “per hundred,” so 1% = 1100\frac{1}{100}.
Step 2: Convert the fraction to a decimal
You can convert 4150\frac{41}{50} into a decimal by dividing the numerator by the denominator: 41÷50=0.8241 \div 50 = 0.82
This decimal means 0.82 out of 1, or 82 out of 100.
Step 3: Convert the decimal to a percent
To convert a decimal to a percent, multiply it by 100: 0.82×100=820.82 \times 100 = 82
Add the percent symbol (%) to show the result is a percent: 82%82\%
Alternative method: Convert fraction directly to a fraction out of 100
You can convert 4150\frac{41}{50} to an equivalent fraction with a denominator of 100:
Multiply numerator and denominator by 2: 41×250×2=82100\frac{41 \times 2}{50 \times 2} = \frac{82}{100}
This fraction is clearly 82 out of 100, or 82%.
Summary:
- Percents represent parts per 100.
- Convert 4150\frac{41}{50} to decimal: 0.82.
- Multiply by 100 to get percent: 82%.
- Or rewrite fraction with denominator 100 directly: 82100\frac{82}{100}.
Thus, 4150\frac{41}{50} expressed as a percent is 82%.