0.2 as a fraction simplest form
Understand the Problem
The question is asking how to convert the decimal 0.2 into its simplest fractional form. To solve this, we will express 0.2 as a fraction and then simplify it if necessary.
Answer
The simplest fractional form of 0.2 is $\frac{1}{5}$.
Answer for screen readers
The simplest fractional form of 0.2 is $\frac{1}{5}$.
Steps to Solve
- Express the decimal as a fraction
To convert the decimal 0.2 into a fraction, we can write it as $\frac{2}{10}$. This is because 0.2 is equivalent to 2 tenths.
- Simplify the fraction
Next, we need to simplify the fraction $\frac{2}{10}$. To do this, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
$$ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} $$
- Final result
The simplest fractional form of 0.2 is $\frac{1}{5}$.
The simplest fractional form of 0.2 is $\frac{1}{5}$.
More Information
Converting decimals to fractions is a common technique in mathematics, especially when dealing with rational numbers. The process involves identifying the place value of the decimal and simplifying the resulting fraction. In this case, 0.2 represents 2 tenths, which simplifies to 1 fifth.
Tips
- Failing to simplify the fraction: After writing 0.2 as $\frac{2}{10}$, some may forget to reduce it to its simplest form.
- Misidentifying the GCD: Not recognizing that 2 is the GCD of 2 and 10 leads to incorrect simplification.
