How to Write a Decimal as a Fraction in Simplest Form

To convert a decimal into a fraction in its simplest form, you can follow these steps:

1. Identify the decimal you want to convert. For example, let’s take 0.75.
2. Determine the place value of the decimal. In this case, 0.75 has two digits after the decimal point, which means it is in the hundredths place.
3. Write the decimal as a fraction by putting the decimal number over its place value. For 0.75, you would write it as 75/100.
4. Now, simplify the fraction. Find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 75 and 100 is 25.
5. Divide both the numerator and the denominator by their GCD: 75 ÷ 25 = 3 and 100 ÷ 25 = 4. So, 75/100 simplifies to 3/4.

Thus, the decimal 0.75 is equal to the fraction 3/4 in simplest form.