Question
Convert 0.96 to a fraction. The answer should be given in simplest form.(1 point)
Responses
4850
Start Fraction 48 over 50 End Fraction
96100
Start Fraction 96 over 100 End Fraction
2425
Start Fraction 24 over 25 End Fraction
96
Responses
4850
Start Fraction 48 over 50 End Fraction
96100
Start Fraction 96 over 100 End Fraction
2425
Start Fraction 24 over 25 End Fraction
96
Answers
GPT-4o mini
To convert 0.96 to a fraction, you can follow these steps:
1. Write 0.96 as a fraction with 1 in the denominator:
\[
0.96 = \frac{0.96}{1}
\]
2. Multiply the numerator and the denominator by 100 to eliminate the decimal:
\[
\frac{0.96 \times 100}{1 \times 100} = \frac{96}{100}
\]
3. Now simplify the fraction \(\frac{96}{100}\) by finding the greatest common divisor (GCD) of 96 and 100, which is 4:
\[
\frac{96 \div 4}{100 \div 4} = \frac{24}{25}
\]
Thus, the simplest form of the fraction for 0.96 is:
\[
\frac{24}{25}
\]
Therefore, the correct response is:
**\( \frac{24}{25} \)**.
1. Write 0.96 as a fraction with 1 in the denominator:
\[
0.96 = \frac{0.96}{1}
\]
2. Multiply the numerator and the denominator by 100 to eliminate the decimal:
\[
\frac{0.96 \times 100}{1 \times 100} = \frac{96}{100}
\]
3. Now simplify the fraction \(\frac{96}{100}\) by finding the greatest common divisor (GCD) of 96 and 100, which is 4:
\[
\frac{96 \div 4}{100 \div 4} = \frac{24}{25}
\]
Thus, the simplest form of the fraction for 0.96 is:
\[
\frac{24}{25}
\]
Therefore, the correct response is:
**\( \frac{24}{25} \)**.