Question
What is 10(1/2)%
written as a fraction in simplest form?(1 point)
Responses
10.5/100
Start Fraction 10.5 over 100 End Fraction
21/2
Start Fraction 21 over 2 End Fraction
10(1/2)
10 Start Fraction 1 over 2 End Fraction
21/200
written as a fraction in simplest form?(1 point)
Responses
10.5/100
Start Fraction 10.5 over 100 End Fraction
21/2
Start Fraction 21 over 2 End Fraction
10(1/2)
10 Start Fraction 1 over 2 End Fraction
21/200
Answers
GPT-4o mini
To convert \( 10(1/2)\% \) into a fraction in simplest form, first express it as follows:
1. Convert \( 10(1/2) \) into a decimal or fraction:
\[
10(1/2) = 10 + \frac{1}{2} = 10.5
\]
2. Change the percentage to a decimal:
\[
10.5\% = \frac{10.5}{100}
\]
3. Convert \( 10.5 \) to a fraction:
\[
10.5 = \frac{105}{10} = \frac{21}{2}
\]
4. Substitute this back into the percentage:
\[
\frac{21}{2} \cdot \frac{1}{100} = \frac{21}{200}
\]
After simplifying, we get:
\[
\frac{21}{200}
\]
So, the answer is:
**21/200**
1. Convert \( 10(1/2) \) into a decimal or fraction:
\[
10(1/2) = 10 + \frac{1}{2} = 10.5
\]
2. Change the percentage to a decimal:
\[
10.5\% = \frac{10.5}{100}
\]
3. Convert \( 10.5 \) to a fraction:
\[
10.5 = \frac{105}{10} = \frac{21}{2}
\]
4. Substitute this back into the percentage:
\[
\frac{21}{2} \cdot \frac{1}{100} = \frac{21}{200}
\]
After simplifying, we get:
\[
\frac{21}{200}
\]
So, the answer is:
**21/200**