Answer:
To convert a decimal to an equivalent fraction, we need to first determine the place value of the decimal. For example, a decimal that ends in the tenths place (such as 0.4) has a denominator of 10. A decimal that ends in the hundredths place (such as 0.25) has a denominator of 100.
Once we have determined the denominator, we can convert the decimal to a fraction by placing the digits of the decimal in the numerator and the denominator. For example, 0.4 can be converted to the fraction 4/10. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which in this case is 2. So 4/10 simplifies to 2/5.
In general, to convert a decimal to a fraction, we can follow these steps:
1. Determine the denominator based on the place value of the decimal.
2. Place the digits of the decimal in the numerator and the denominator.
3. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor.
It's important to note that sometimes decimals can be rounded, so the resulting fraction may not be exact. In such cases, we can use approximations or continue to simplify the fraction until we reach a desired level of accuracy.