What fraction is equivalent to 0.6?
Understand the Problem
The question is asking for a fraction that has the same value as the decimal 0.6. To convert a decimal to a fraction, we need to understand the place value of the decimal and simplify it if possible.
Answer
The fraction equivalent to the decimal 0.6 is $\frac{3}{5}$.
Answer for screen readers
The fraction equivalent to the decimal 0.6 is $\frac{3}{5}$.
Steps to Solve
-
Identify the decimal place value The decimal 0.6 has one digit after the decimal point, which means it is in the tenths place.
-
Convert the decimal to a fraction Since 0.6 is in the tenths place, we can express it as: $$ \frac{6}{10} $$
-
Simplify the fraction Now, we need to simplify the fraction $\frac{6}{10}$. Both the numerator (6) and the denominator (10) can be divided by their greatest common divisor, which is 2: $$ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} $$
-
Final fraction The simplified fraction that represents the decimal 0.6 is: $$ \frac{3}{5} $$
The fraction equivalent to the decimal 0.6 is $\frac{3}{5}$.
More Information
Converting decimals to fractions is a useful skill in mathematics, as it helps in comparing numbers and performing operations with different types of quantities. The decimal 0.6 is equivalent to the fraction $\frac{3}{5}$, which means that if you divide 3 by 5, you will get 0.6.
Tips
- Not simplifying the fraction: Students often forget to simplify fractions after converting decimals. Always check for the greatest common divisor.
- Misplacing the decimal: Students might confuse the place value; it's essential to recognize that 0.6 means 6 tenths.
AI-generated content may contain errors. Please verify critical information
