Convert 0.6¯¯¯ to a fraction, reduced to lowest terms.(1 point)
To convert 0.6¯¯¯ to a fraction, we can multiply both sides of the decimal by 10 to remove the repeating decimal.
Let x = 0.6¯¯¯.
Multiplying both sides by 10 gives:
10x = 6.¯¯¯
Now, subtracting x from 10x on the right side:
10x - x = 6.¯¯¯ - 0.6¯¯¯
9x = 6
Dividing both sides by 9, we get:
x = 6/9
Thus, 0.6¯¯¯ is equivalent to the fraction 6/9, which can be reduced to lowest terms as 2/3.
To convert 0.6¯¯¯ to a fraction, we can use algebraic manipulation.
Let x = 0.6¯¯¯.
Now, we can multiply both sides of the equation by a power of 10 to get rid of the repeating decimal.
10x = 6.¯¯¯
Next, we can subtract x from both sides of the equation.
10x - x = 6.¯¯¯ - 0.6¯¯¯
9x = 6.¯¯¯ - 0.6¯¯¯
9x = 6
To get the fraction form, we divide both sides of the equation by 9.
9x/9 = 6/9
x = 2/3
Therefore, 0.6¯¯¯ is equal to the fraction 2/3 reduced to lowest terms.