covert 0.27 into a rational number in simplest form.

Answer 1

To convert a decimal number into a rational number in simplest form, we can use the following steps:

Step 1: Write the decimal value as a fraction with the decimal digits as the numerator and the appropriate power of 10 as the denominator.

For 0.27, the decimal digits are 27, and since the decimal point is two places to the right, the denominator will be 10^2 = 100.

So, 0.27 can be written as the fraction 27/100.

Step 2: Simplify the fraction if possible by dividing both the numerator and denominator by their greatest common divisor.

In this case, the greatest common divisor of 27 and 100 is 1 since there is no common factor other than 1.

So, the fraction 27/100 is already in its simplest form.

Thus, 0.27 can be expressed as the rational number 27/100 in simplest form.