Convert 0.8¯¯¯ to a rational numbe

Answer 1

To convert the repeating decimal 0.8¯¯¯ to a rational number, we can set up a system of equations.

Let x = 0.8¯¯¯
Multiply both sides of the equation by 10 to remove the repeating decimal:

10x = 8.8¯¯¯

Subtract the original equation from this equation:

10x - x = 8.8¯¯¯ - 0.8¯¯¯
9x = 8
Divide both sides of the equation by 9:

x = 8/9

Therefore, 0.8¯¯¯ is equal to the rational number 8/9.