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

1 answer

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: \( \frac{24}{25} \).