Convert 0.8¯¯¯ to a rational numbe
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.