How to Write a Decimal as a Fraction

Writing a decimal as a fraction is a straightforward process. Here’s how to do it step by step:

1. Identify the Decimal: First, take a look at the decimal you want to convert. For example, let’s take 0.75.
2. Count the Decimal Places: Next, determine how many digits are after the decimal point. In our example, 0.75 has two digits after the decimal.
3. Create the Fraction: To convert the decimal into a fraction, place the decimal number over 1 and then multiply the numerator and denominator by 10 for each digit after the decimal. For 0.75, it becomes: 0.75/1 = (0.75 x 100)/(1 x 100) = 75/100.
4. Simplify the Fraction: Finally, simplify the fraction if possible. Both 75 and 100 can be divided by 25, so: 75 ÷ 25 / 100 ÷ 25 = 3/4.

So, 0.75 as a fraction is 3/4.

To summarize, you always place the decimal over 1, adjust for the number of decimal places by multiplying, and then simplify. This method works for any decimal, whether it’s terminating or repeating.