Written as fractions, the decimal numbers 0.3 and 0.11 are 3/10 and 11/100, respectively. Can you see a pattern? Use this knowledge to convert 0.0625 into a fraction.Then find its simplest form.

Answer 1

Yes, the pattern is that the number of decimal places determines the denominator of the fraction.

For example, 0.3 has one decimal place, so the denominator is 10. 0.11 has two decimal places, so the denominator is 100.

To convert 0.0625 into a fraction, we count the number of decimal places (four) and use that as the denominator:

0.0625 = 625/10000

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 625:

625/10000 ÷ 625/625 = 1/16

Therefore, 0.0625 can be written as the fraction 1/16 in simplest form.