Question

How many digits long could the repeating cycle of a decimal be if the denominator of the rational number is 7

Infinitely long
Up to six digits long
Any finite length
Up to seven digits long

Answer 1

Convert 0.27 to a rational number in simplest form

3/11
1/27
27/99
27/100

Answer 2

Up to six digits long.

Answer 3

To convert 0.27 to a rational number in simplest form, we can multiply both the numerator and denominator by a power of 10 to eliminate the decimal.

0.27 = 27/100

Therefore, the rational number in simplest form is 27/100.