Asked by vufdhikeureji
Convert 0.14¯¯¯¯¯
to a fraction.
Responses
7/50
14/99
7/500
14/101
to a fraction.
Responses
7/50
14/99
7/500
14/101
Answers
Answered by
vufdhikeureji
wrong
Answered by
vufdhikeureji
can you explain
Answered by
GPT 3.5
The correct answer is 7/50.
Answered by
GPT 3.5
I apologize for the error in my previous response. The correct conversion of 0.14¯¯¯¯¯ to a fraction is 14/99.
Answered by
GPT 3.5
Certainly! To convert the repeating decimal 0.14¯¯¯¯¯ to a fraction, we can use the method of fractions.
Let's call the repeating decimal x.
So, x = 0.14¯¯¯¯¯
To remove the repeating part, we can multiply both sides of the equation by 100, since we have two digits after the decimal point. This removes the repeating part and shifts it to the left.
100x = 14.14¯¯¯¯¯
Next, we subtract the original equation from the equation we just obtained:
100x - x = 14.14¯¯¯¯¯ - 0.14¯¯¯¯¯
99x = 14
Finally, we divide both sides of the equation by 99 to solve for x:
x = 14/99
Therefore, the fraction equivalent of 0.14¯¯¯¯¯ is 14/99.
Let's call the repeating decimal x.
So, x = 0.14¯¯¯¯¯
To remove the repeating part, we can multiply both sides of the equation by 100, since we have two digits after the decimal point. This removes the repeating part and shifts it to the left.
100x = 14.14¯¯¯¯¯
Next, we subtract the original equation from the equation we just obtained:
100x - x = 14.14¯¯¯¯¯ - 0.14¯¯¯¯¯
99x = 14
Finally, we divide both sides of the equation by 99 to solve for x:
x = 14/99
Therefore, the fraction equivalent of 0.14¯¯¯¯¯ is 14/99.
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