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Answer :
- Convert the fraction to a decimal by dividing the numerator by the denominator.
- Multiply the numerator and denominator by 4 to get an equivalent fraction with a denominator of 100: $\frac{1}{25} = \frac{4}{100}$.
- Convert the fraction $\frac{4}{100}$ to a decimal: $0.04$.
- The final answer is $\boxed{0.04}$.
### Explanation
1. Problem Analysis
We are asked to convert the fraction $\frac{1}{25}$ into a decimal.
2. Conversion Method
To convert a fraction to a decimal, we need to divide the numerator by the denominator. In this case, we need to divide 1 by 25.
3. Creating an Equivalent Fraction
We can perform the division directly: $1 \div 25$. Alternatively, we can try to express the fraction with a denominator that is a power of 10 (like 10, 100, 1000, etc.). Since $25 \times 4 = 100$, we can multiply both the numerator and the denominator of the fraction by 4:$$\frac{1}{25} = \frac{1 \times 4}{25 \times 4} = \frac{4}{100}$$
4. Converting to Decimal
Now, it's easy to convert the fraction $\frac{4}{100}$ to a decimal. $\frac{4}{100}$ means 4 hundredths, which is written as 0.04.
5. Final Answer
Therefore, $\frac{1}{25} = 0.04$.
### Examples
In everyday life, converting fractions to decimals is useful when dealing with measurements or proportions. For example, if you want to determine what portion of an hour 15 minutes represents, you can express 15 minutes as a fraction of an hour ($\frac{15}{60} = \frac{1}{4}$). Converting this to a decimal (0.25) makes it easier to understand as a quarter of an hour.
- Multiply the numerator and denominator by 4 to get an equivalent fraction with a denominator of 100: $\frac{1}{25} = \frac{4}{100}$.
- Convert the fraction $\frac{4}{100}$ to a decimal: $0.04$.
- The final answer is $\boxed{0.04}$.
### Explanation
1. Problem Analysis
We are asked to convert the fraction $\frac{1}{25}$ into a decimal.
2. Conversion Method
To convert a fraction to a decimal, we need to divide the numerator by the denominator. In this case, we need to divide 1 by 25.
3. Creating an Equivalent Fraction
We can perform the division directly: $1 \div 25$. Alternatively, we can try to express the fraction with a denominator that is a power of 10 (like 10, 100, 1000, etc.). Since $25 \times 4 = 100$, we can multiply both the numerator and the denominator of the fraction by 4:$$\frac{1}{25} = \frac{1 \times 4}{25 \times 4} = \frac{4}{100}$$
4. Converting to Decimal
Now, it's easy to convert the fraction $\frac{4}{100}$ to a decimal. $\frac{4}{100}$ means 4 hundredths, which is written as 0.04.
5. Final Answer
Therefore, $\frac{1}{25} = 0.04$.
### Examples
In everyday life, converting fractions to decimals is useful when dealing with measurements or proportions. For example, if you want to determine what portion of an hour 15 minutes represents, you can express 15 minutes as a fraction of an hour ($\frac{15}{60} = \frac{1}{4}$). Converting this to a decimal (0.25) makes it easier to understand as a quarter of an hour.
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Rewritten by : Batagu
