Convert 0.02¯¯¯¯¯ to a fraction.(1 point)
To convert a decimal to a fraction, we can use the place value of the decimal. In this case, the decimal is 0.02¯¯¯¯¯.
The number 0.02 has two decimal places, so we can write it as 2/100.
Simplifying the fraction by dividing both the numerator and denominator by 2, we get 1/50.
So, 0.02¯¯¯¯¯ is equal to 1/50.
To convert 0.02¯¯¯¯¯ to a fraction, we can use the property of repeating decimals. Let x = 0.02¯¯¯¯¯.
We can multiply x by 100 to move the repeating decimal point to the right.
100x = 2.0¯¯¯¯¯
Next, we subtract x from 100x to eliminate the repeating part.
100x - x = 2.0¯¯¯¯¯ - 0.02¯¯¯¯¯
99x = 1.98
Finally, we divide both sides by 99 to solve for x.
x = 1.98 / 99
Therefore, 0.02¯¯¯¯¯ is equivalent to the fraction 1.98/99.