Convert 0.6 inches to a fraction.
Understand the Problem
The question is asking to convert 0.6 inches into a fractional representation. This involves identifying the equivalent fraction for the decimal value provided.
Answer
The fractional representation of 0.6 is $\frac{3}{5}$.
Answer for screen readers
The fractional representation of 0.6 is $\frac{3}{5}$.
Steps to Solve
- Convert the decimal to a fraction
To convert 0.6 to a fraction, you can express it as $\frac{6}{10}$. This is because the digit 6 is in the tenths place.
- Simplify the fraction
Next, simplify the fraction $\frac{6}{10}$ by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 6 and 10 is 2.
Now, divide both the numerator and the denominator by 2:
$$ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} $$
- Final representation
The simplified fraction representation of 0.6 is $\frac{3}{5}$.
The fractional representation of 0.6 is $\frac{3}{5}$.
More Information
The representation of decimal numbers as fractions is a common topic in mathematics. Converting decimals to fractions helps in understanding ratios and proportions in more complex problems.
Tips
- Not simplifying the fraction: After converting to a fraction, some may forget to simplify it. To avoid this, always check for a common factor in the numerator and denominator.
- Misplacing the decimal: Ensure that the decimal is properly read (0.6 is 6 tenths, not 6 hundredths).