0.6 as a simplified fraction
Understand the Problem
The question is asking how to convert the decimal 0.6 into a simplified fraction. To do this, we will express the decimal as a fraction and then simplify it if possible.
Answer
The simplified fraction of the decimal $0.6$ is $\frac{3}{5}$.
Answer for screen readers
The simplified fraction of the decimal $0.6$ is $\frac{3}{5}$.
Steps to Solve
- Express the Decimal as a Fraction
To convert the decimal $0.6$ into a fraction, recognize that $0.6$ can be written as $\frac{6}{10}$ because the decimal is in the tenths place.
- Simplify the Fraction
Next, we need to simplify $\frac{6}{10}$. To do this, find the greatest common divisor (GCD) of the numerator (6) and the denominator (10).
- Find the GCD
The GCD of $6$ and $10$ is $2$.
- Divide both Numerator and Denominator by the GCD
Now divide both the numerator and the denominator by their GCD: $$ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} $$
- Final Fraction
Thus, the decimal $0.6$ converted to a simplified fraction is $\frac{3}{5}$.
The simplified fraction of the decimal $0.6$ is $\frac{3}{5}$.
More Information
Converting decimals to fractions is a useful skill in mathematics, and simplifying fractions helps in presenting results in the most straightforward form. The decimal $0.6$ represents a common fraction that is frequently encountered in everyday calculations.
Tips
- One common mistake is to forget to simplify the fraction after converting it from the decimal. Always check if the fraction can be reduced.
- Another mistake is improperly identifying the GCD. Be sure to find the correct GCD to simplify accurately.
