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Answer :
- Converts the fraction $\frac{1}{25}$ to the decimal $0.04$ and the percentage $4\%$.
- Converts the percentage $36\%$ to the fraction $\frac{9}{25}$ and the decimal $0.36$.
- Compares the decimals $0.2$ and $0.199$, determining that $0.2 > 0.199$.
- States the final answers: $\frac{1}{25} = 0.04 = 4\%$, $36\% = \frac{9}{25} = 0.36$, and $0.2 > 0.199$.
### Explanation
1. Problem Analysis
We need to solve three sub-problems:
1. Convert $\frac{1}{25}$ to a decimal and a percentage.
2. Convert $36\%$ to a fraction and a decimal.
3. Compare $0.2$ and $0.199$ using $>$, $<$, or $=$.
2. Converting Fraction to Decimal and Percentage
To convert $\frac{1}{25}$ to a decimal, we divide 1 by 25. The result is $0.04$. To convert this decimal to a percentage, we multiply by 100, which gives $0.04 \times 100 = 4\%$.
3. Converting Percentage to Fraction and Decimal
To convert $36\%$ to a fraction, we write it as $\frac{36}{100}$. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. So, $\frac{36}{100} = \frac{36 \div 4}{100 \div 4} = \frac{9}{25}$. To convert $36\%$ to a decimal, we divide 36 by 100, which gives $0.36$.
4. Comparing Decimals
To compare $0.2$ and $0.199$, we can write $0.2$ as $0.200$. Now we compare $0.200$ and $0.199$. Since $200 > 199$, we have $0.200 > 0.199$, so $0.2 > 0.199$.
5. Final Answer
Therefore, the answers are:
4.3. $\frac{1}{25} = 0.04 = 4\%$
4.4. $36\% = \frac{9}{25} = 0.36$
4.5. $0.2 > 0.199$
### Examples
Understanding how to convert between fractions, decimals, and percentages is crucial in everyday life. For instance, when you're shopping, you might see a discount advertised as a percentage (e.g., 20% off). To calculate the actual savings, you need to convert the percentage to a decimal or fraction and multiply it by the original price. Similarly, when dealing with financial matters such as interest rates or investment returns, these conversions are essential for making informed decisions.
- Converts the percentage $36\%$ to the fraction $\frac{9}{25}$ and the decimal $0.36$.
- Compares the decimals $0.2$ and $0.199$, determining that $0.2 > 0.199$.
- States the final answers: $\frac{1}{25} = 0.04 = 4\%$, $36\% = \frac{9}{25} = 0.36$, and $0.2 > 0.199$.
### Explanation
1. Problem Analysis
We need to solve three sub-problems:
1. Convert $\frac{1}{25}$ to a decimal and a percentage.
2. Convert $36\%$ to a fraction and a decimal.
3. Compare $0.2$ and $0.199$ using $>$, $<$, or $=$.
2. Converting Fraction to Decimal and Percentage
To convert $\frac{1}{25}$ to a decimal, we divide 1 by 25. The result is $0.04$. To convert this decimal to a percentage, we multiply by 100, which gives $0.04 \times 100 = 4\%$.
3. Converting Percentage to Fraction and Decimal
To convert $36\%$ to a fraction, we write it as $\frac{36}{100}$. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. So, $\frac{36}{100} = \frac{36 \div 4}{100 \div 4} = \frac{9}{25}$. To convert $36\%$ to a decimal, we divide 36 by 100, which gives $0.36$.
4. Comparing Decimals
To compare $0.2$ and $0.199$, we can write $0.2$ as $0.200$. Now we compare $0.200$ and $0.199$. Since $200 > 199$, we have $0.200 > 0.199$, so $0.2 > 0.199$.
5. Final Answer
Therefore, the answers are:
4.3. $\frac{1}{25} = 0.04 = 4\%$
4.4. $36\% = \frac{9}{25} = 0.36$
4.5. $0.2 > 0.199$
### Examples
Understanding how to convert between fractions, decimals, and percentages is crucial in everyday life. For instance, when you're shopping, you might see a discount advertised as a percentage (e.g., 20% off). To calculate the actual savings, you need to convert the percentage to a decimal or fraction and multiply it by the original price. Similarly, when dealing with financial matters such as interest rates or investment returns, these conversions are essential for making informed decisions.
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Rewritten by : Batagu
