0.12 as a Fraction: Understanding the Conversion
What is 0.12 as a Fraction?
The decimal number 0.12 can be converted into a fraction. To do this, we need to understand the concept of equivalent ratios.
Conversion to a Fraction
To convert 0.12 to a fraction, we can use the following steps:
- Divide the numerator (12) by the denominator (100) to get the simplest form of the fraction.
- Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Let's apply these steps:
$\frac{12}{100} = \frac{12 \div 4}{100 \div 4} = \frac{3}{25}$
Therefore, 0.12 as a fraction is 3/25.
Understanding the Concept
Why is 0.12 equal to 3/25? To understand this, let's explore the concept of equivalent ratios.
- The decimal 0.12 represents 12 units out of a total of 100 units.
- The fraction 3/25 represents 3 units out of a total of 25 units.
- Both ratios are equivalent, as they represent the same proportion of parts to a whole.
Real-World Applications
Understanding decimals and fractions is essential in various real-world applications, such as:
- Cooking: Measuring ingredients using fractions and decimals ensures accurate recipes.
- Finance: Converting decimals to fractions helps in calculating interest rates, investments, and taxes.
- Science: Decimals and fractions are used to express measurements, ratios, and proportions in scientific calculations.
In conclusion, 0.12 as a fraction is 3/25, which is a simple expression of an equivalent ratio. This understanding is crucial in various aspects of everyday life.
