Question

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Express 0.225(recurring decimal 25) as a rational no. Using concepts of periods and periodicity.

Answer 1

above solution is correct
There are three digits in the decimal 0.225, so the last digit is the 1000ths place. This shows that 0.225 = 225/1000.

The fraction 225/1000 is not in its simplest form. To reduce the fraction, find the Greatest Common Divisor (GCD) / Greatest Common Factor (GCF). We can reduce this fraction to its lowest terms by dividing the numerator and denominator by 25 because it is the GCD/GCF.

So now, divide 225 and 1000 by 25...

The final answer is 9/40.