Which fraction is equal to 0.6
The Correct Answer and Explanation is :
To convert the decimal 0.6 into a fraction, we can follow these steps:
Step 1: Understand the Decimal Place Value
The decimal 0.6 represents 6 tenths because the digit 6 is in the tenths place. This means that we can write it as:
[
0.6 = \frac{6}{10}
]
Step 2: Simplify the Fraction
Next, we simplify the fraction (\frac{6}{10}). To do this, we need to find the greatest common divisor (GCD) of the numerator (6) and the denominator (10). The GCD of 6 and 10 is 2. We divide both the numerator and the denominator by their GCD:
[
\frac{6 \div 2}{10 \div 2} = \frac{3}{5}
]
Thus, the simplified fraction that is equal to 0.6 is:
[
0.6 = \frac{3}{5}
]
Step 3: Understanding the Fraction
The fraction (\frac{3}{5}) means that out of 5 equal parts, 3 parts are taken. This can be visualized in various contexts, such as pizza slices or segments of a number line. If we were to divide a whole into 5 equal sections, taking 3 sections would represent 60% (or 0.6) of the whole.
Step 4: Decimal and Fraction Relationship
Understanding how decimals and fractions relate is important in many mathematical contexts. Decimals are often easier for calculations, while fractions provide a clear representation of parts of a whole. Recognizing the equivalence of 0.6 and (\frac{3}{5}) helps in various applications, such as in cooking, construction, and everyday measurements.
Conclusion
In summary, the decimal 0.6 can be expressed as the fraction (\frac{3}{5}) after simplification. This process demonstrates the relationship between different numerical representations and enhances our understanding of fractions and decimals in practical situations.