0.4 as a simplified fraction
Understand the Problem
The question is asking to convert the decimal 0.4 into its simplest fractional form. This involves determining the numerator and denominator that represent the same value as the decimal, and then reducing it if necessary.
Answer
The simplest fractional form of 0.4 is $\frac{2}{5}$.
Answer for screen readers
The simplest fractional form of the decimal 0.4 is $\frac{2}{5}$.
Steps to Solve
- Write the decimal as a fraction
We can express the decimal 0.4 as a fraction. Since 0.4 is equivalent to $\frac{4}{10}$ (because it has one digit after the decimal point).
- Simplify the fraction
Next, we need to simplify the fraction $\frac{4}{10}$. We do this by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 4 and 10 is 2.
- Divide the numerator and the denominator by the GCD
Now, divide both the numerator and denominator by their GCD, which is 2:
$$ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} $$
The simplest fractional form of the decimal 0.4 is $\frac{2}{5}$.
More Information
Converting decimals to fractions is a useful skill in math, especially when dealing with measurements in fractions or converting between different numerical forms. The decimal 0.4 is a common decimal, and its fractional form $\frac{2}{5}$ appears often in various applications.
Tips
- Not simplifying the fraction: Often, students may stop at $\frac{4}{10}$ and forget to simplify it to $\frac{2}{5}$.
- Confusing place values: Understanding that 0.4 means 4 tenths is crucial; mistaking it for a different value can lead to incorrect fractions.
