Expressing 0.6 as a Fraction in the Form of p/q

To express 0.6 as a fraction in the form of p/q, where p and q are integers and q is not equal to 0, we can follow a simple procedure. Let's break it down step by step:

Step 1: Define the Fraction
To express 0.6 as a fraction, we can define it as p/q, where p and q are integers. Our goal is to find the values of p and q.

Step 2: Understanding Decimal Place Value
In the decimal number system, each digit represents a fraction of a power of 10. The first digit after the decimal point represents tenths, the second digit represents hundredths, the third digit represents thousandths, and so on. In the case of 0.6, the 6 represents six tenths.

Step 3: Writing 0.6 as a Fraction
Since 0.6 represents six tenths, we can express it as 6/10. However, this fraction can be simplified further.

Step 4: Simplifying the Fraction
To simplify the fraction 6/10, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 6 and 10 is 2. By dividing both the numerator and denominator by 2, we get 3/5.

Step 5: Final Result
Therefore, 0.6 can be expressed as a fraction in the form of 3/5.

Summary:
To express 0.6 as a fraction in the form of p/q, we followed a step-by-step process. By understanding the decimal place value, we recognized that 0.6 represents six tenths. We then wrote it as 6/10 and simplified the fraction to its simplest form, which is 3/5. Hence, 0.6 can be expressed as 3/5.

0.6=6/10=3/5