Convert 1/5 to a percentage.
And
Convert 12/100 to a decimal.
The Correct Answer and Explanation is :
Conversion of 1/5 to a Percentage
To convert the fraction ( \frac{1}{5} ) to a percentage, follow these steps:
- Divide the Numerator by the Denominator:
[
\frac{1}{5} = 0.2
] - Multiply by 100:
[
0.2 \times 100 = 20\%
]
So, ( \frac{1}{5} ) is equal to 20%.
Conversion of 12/100 to a Decimal
To convert the fraction ( \frac{12}{100} ) to a decimal, the process is straightforward:
- Divide the Numerator by the Denominator:
[
\frac{12}{100} = 0.12
]
Thus, ( \frac{12}{100} ) is equal to 0.12.
Explanation of the Conversions
Fractions, percentages, and decimals are different ways of representing numbers and can often be converted from one form to another.
Converting Fractions to Percentages: The percentage is a way to express a number as a fraction of 100. Therefore, to convert a fraction to a percentage, you divide the numerator (the top part) by the denominator (the bottom part) and then multiply the result by 100. In the case of ( \frac{1}{5} ), dividing gives you 0.2, and multiplying by 100 gives you 20%. This means that ( \frac{1}{5} ) represents 20 out of 100 parts, which is why it can be expressed as a percentage.
Converting Fractions to Decimals: The process of converting a fraction to a decimal is quite similar. Here, you divide the numerator by the denominator directly. In the case of ( \frac{12}{100} ), performing the division gives you 0.12. This decimal representation indicates how many whole parts and fractions of a whole are included. In summary, understanding these conversions helps in various practical applications, including finance, statistics, and everyday calculations, as they allow us to interpret and manipulate numerical data in different formats effectively.