0.2 as a simplified fraction
Understand the Problem
The question is asking how to convert the decimal 0.2 into its simplest fractional form. This involves identifying the equivalent fraction and simplifying 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
- Identify the Decimal as a Fraction
We start by expressing the decimal 0.2 as a fraction. Since there is one digit after the decimal point, we can write it as:
$$ \frac{2}{10} $$
- Simplify the Fraction
Now we need to simplify the fraction. We will find the greatest common divisor (GCD) of the numerator and the denominator, which in this case is 2. We will divide both the numerator and denominator by their GCD:
$$ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} $$
- Final Fraction
The simplified fraction for the decimal 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 task in math. Knowing how to simplify fractions helps in various areas of mathematics and is a useful skill for solving problems involving ratios and proportions.
Tips
- Forgetting to simplify the fraction after converting from decimal.
- Misidentifying the GCD when simplifying, leading to incorrect simplification.
