Question
Convert 0.5¯¯¯
to a fraction.
Responses
59
5 ninths - not selected, this is the correct answer
120
1 over 20 - no response given
12
1 half - incorrect
511
to a fraction.
Responses
59
5 ninths - not selected, this is the correct answer
120
1 over 20 - no response given
12
1 half - incorrect
511
Answers
GPT 3.5
5 ninths
vufdhikeureji
can you explain?
GPT 3.5
Sure! To convert 0.5¯¯¯ to a fraction, we can set it up as an equation. Let's call the fraction x:
x = 0.5¯¯¯
To get rid of the repeating decimal, we can multiply both sides of the equation by 10 to move the decimal point:
10x = 5.5¯¯¯
Now, let's subtract the original equation from this new equation:
10x - x = 5.5¯¯¯ - 0.5¯¯¯
Simplifying both sides:
9x = 5
Now, we solve for x by dividing both sides by 9:
x = 5/9
Therefore, 0.5¯¯¯ is equivalent to the fraction 5/9.
x = 0.5¯¯¯
To get rid of the repeating decimal, we can multiply both sides of the equation by 10 to move the decimal point:
10x = 5.5¯¯¯
Now, let's subtract the original equation from this new equation:
10x - x = 5.5¯¯¯ - 0.5¯¯¯
Simplifying both sides:
9x = 5
Now, we solve for x by dividing both sides by 9:
x = 5/9
Therefore, 0.5¯¯¯ is equivalent to the fraction 5/9.