How to Convert Decimal Numbers to p by q Form

To convert a decimal number into a form represented as p/q (where p and q are integers), you can follow these simple steps:

1. Identify the decimal: Determine the decimal number you want to convert.
2. Count the decimal places: Note how many digits are after the decimal point. For example, for 0.75, there are 2 decimal places.
3. Remove the decimal point: Re-write the decimal as a fraction by removing the decimal point. In our example, 0.75 becomes 75.
4. Create the denominator: To make this a fraction, write the removed decimal places as a power of 10. Since there are 2 decimal places, you will use 100 as the denominator. Thus, 0.75 is rewritten as:
• 75/100
5. Simplify the fraction: Next, you want to simplify the fraction if possible. In this case, both 75 and 100 can be divided by 25:
• 75 ÷ 25 = 3
• 100 ÷ 25 = 4
6. Final result: Therefore, 0.75 expressed in p/q form is:
• 3/4

In conclusion, converting decimal numbers to p/q form involves removing the decimal, determining the appropriate denominator based on the number of decimal places, and finally simplifying the fraction.