Question

Convert 0. ¯ 27 to a rational number in simplest form.(1 point) Responses 3 11 Start Fraction 3 over 11 end fraction 27 100 Start Fraction 27 over 100 end fraction 1 27 Start Fraction 1 over 27 end fraction 27 99

Answer 1

To convert 0. ¯ 27 to a rational number in simplest form, we need to find an equivalent fraction for it.

Let x = 0. ¯ 27

Multiply both sides of the equation by 100 to get rid of the decimal:

100x = 27. ¯ 27

Now subtract x from both sides:

100x - x = 27. ¯ 27 - 0. ¯ 27

Simplifying the right side, we get:

99x = 27

Divide both sides by 99 to solve for x:

x = 27/99

Simplifying the fraction, we have:

x = 3/11

Therefore, 0. ¯ 27 as a rational number in simplest form is 3/11.