Convert 0.27¯¯¯¯¯ to a rational number in simplest form.

Answer 1

Step 1: Let x = 0.27¯¯¯¯¯

Step 2: Multiply both sides of the equation by 100 to remove the decimal: 100x = 27.¯¯¯¯¯

Step 3: Subtract x from both sides: 100x - x = 27.¯¯¯¯¯ - 0.27¯¯¯¯¯

This simplifies to 99x = 27.

Step 4: Divide both sides by 99: 99x/99 = 27/99

This simplifies to x = 27/99.

Therefore, 0.27¯¯¯¯¯ as a rational number in simplest form is 27/99.