Converting a decimal number into the form of p by q (where p and q are integers) is a straightforward process that involves a few simple steps. This form is also known as a fraction. Here’s how you can do it:
- Identify the Decimal: Start with the decimal number you want to convert. For instance, let’s use the decimal 0.75.
- Count the Decimal Places: Determine how many digits are after the decimal point. In our example, there are two digits after the decimal in 0.75.
- Create the Fraction: To form the fraction, write the decimal number without the decimal point as the numerator (top number) and use a power of ten for the denominator (bottom number). The power of ten is determined by how many decimal places there are. So, for 0.75, it becomes:
- Numerator: 75 (just remove the decimal point)
- Denominator: 100 (because there are two decimal places, we use 102)
- Write as a Fraction: This gives us:
- Fraction: 75/100
- Simplify the Fraction: Next, simplify the fraction if possible. To do this, divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 75 and 100 is 25, so:
- Numerator: 75 ÷ 25 = 3
- Denominator: 100 ÷ 25 = 4
- Final Result: The simplified fraction is 3/4.
In summary, to convert a decimal number to the form of p by q, follow these steps: identify the decimal, count the decimal places, create the fraction using a power of ten, and then simplify it. Using this method, you can convert any decimal number into its corresponding p by q format effortlessly.