Convert each of the following percents to a decimal.
a. $4 \frac{1}{2} \%$
b. $\frac{2}{7} \%$
c. $125 \%$
d. $\frac{1}{4} \%$
Answer (2)
To convert a percentage to a decimal, divide the percentage by 100.
4 2 1 % = 4.5% = 100 4.5 = 0.045
7 2 % = 100 2/7 = 700 2 ≈ 0.002857
125% = 100 125 = 1.25
4 1 % = 100 1/4 = 400 1 = 0.0025
The final answers are: 0.045 , 0.002857 , 1.25 , 0.0025 .
Explanation
Understanding the Problem We are given four percentages that we need to convert to their decimal equivalents. To convert a percentage to a decimal, we divide the percentage by 100. Let's do this for each one.
Converting a. to Decimal a. Convert 4 2 1 % to a decimal. First, we rewrite the mixed number as an improper fraction or a decimal. 4 2 1 = 4.5 . Then, we divide by 100: 4.5% = 100 4.5 = 0.045
Converting b. to Decimal b. Convert 7 2 % to a decimal. We divide by 100: 7 2 % = 100 2/7 = 700 2 Now, we can simplify the fraction or find the decimal approximation. 700 2 = 350 1 ≈ 0.002857
Converting c. to Decimal c. Convert 125% to a decimal. We divide by 100: 125% = 100 125 = 1.25
Converting d. to Decimal d. Convert 4 1 % to a decimal. We divide by 100: 4 1 % = 100 1/4 = 400 1 = 0.0025
Final Answer Therefore, the decimal equivalents are: a. 4 2 1 % = 0.045 b. 7 2 % = 0.002857 (approximately) c. 125% = 1.25 d. 4 1 % = 0.0025
Examples
Understanding how to convert percentages to decimals is crucial in many real-life situations, such as calculating discounts, interest rates, or understanding statistical data. For instance, if a store offers a 25% discount on an item, you would convert 25% to 0.25 and multiply it by the original price to find the amount of the discount. Similarly, when calculating interest earned on a savings account, you need to convert the annual interest rate from a percentage to a decimal to determine the actual amount of interest you'll receive. These conversions are also fundamental in understanding financial reports, analyzing growth rates, and making informed decisions in various fields.
To convert percentages to decimals, you divide the percentage by 100. The results are: a. 0.045 , b. 0.002857 (approximately), c. 1.25 , d. 0.0025 .
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