Change 0.3 to a fraction.
Understand the Problem
The question is asking how to convert the decimal number 0.3 into a fraction. This involves representing it in a form where the numerator and denominator are whole numbers.
Answer
$\frac{3}{10}$
Answer for screen readers
The fraction representation of the decimal 0.3 is $\frac{3}{10}$.
Steps to Solve
- Identify the decimal place value
The number 0.3 is in the tenths place, meaning it can be represented as a fraction with a denominator of 10.
- Write the fraction
Express 0.3 as a fraction: $$ 0.3 = \frac{3}{10} $$
- Simplify the fraction (if necessary)
In this case, the fraction $\frac{3}{10}$ cannot be simplified further since 3 and 10 have no common factors other than 1.
The fraction representation of the decimal 0.3 is $\frac{3}{10}$.
More Information
Converting decimals to fractions is useful in many mathematical applications, such as in simplifying calculations and understanding ratios. The process involves identifying the correct place value and using it to determine the fraction.
Tips
- Forgetting the place value: Some may convert 0.3 directly to a fraction as $\frac{3}{1}$, forgetting to consider the tenths place. Always pay attention to the decimal place.
- Over-simplifying: Assuming that fractions like $\frac{3}{10}$ can be simplified. Check for common factors between the numerator and denominator.