# Is 3.87655 a rational number

## To determine if 3.87655 is a rational number, we need to check if it can be expressed as the ratio of two integers. Rational numbers can be written in the form of p/q, where p and q are integers, and q is not zero.

In this case, 3.87655 is a decimal number. To confirm if it is a rational number, we need to check if it can be expressed as a fraction. One way to do this is to convert the decimal number into a fraction.

Step 1: Identify the place value of the last digit
In 3.87655, the last digit is in the hundred-thousandths place.

Step 2: Convert the decimal into a fraction
To convert the decimal into a fraction, we write the decimal as the numerator over a power of ten as the denominator. Since the last digit is in the hundred-thousandths place, the denominator will be 100,000.

3.87655 as a fraction is 3.87655/100,000.

Step 3: Simplify the fraction, if possible
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor. However, in this case, the numerator and denominator do not have any common factors other than 1.

Therefore, 3.87655/100,000 cannot be simplified further. Hence, 3.87655 is a rational number because it can be expressed as a fraction.