Convert 0.96 to a fraction. The answer should be given in simplest form.(1 point)

Responses

96100
Start Fraction 96 over 100 End Fraction

96
Start Fraction 9 over 6 End Fraction

2425
Start Fraction 24 over 25 End Fraction

4850
Start Fraction 48 over 50 End Fraction
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1 answer

To convert the decimal 0.96 to a fraction, you can follow these steps:

  1. Write 0.96 as a fraction with 100 as the denominator since there are two decimal places:
    \[ 0.96 = \frac{96}{100} \]

  2. Simplify the fraction by finding the greatest common divisor (GCD) of 96 and 100. The GCD is 4.

  3. Divide both the numerator and the denominator by their GCD: \[ \frac{96 \div 4}{100 \div 4} = \frac{24}{25} \]

Thus, the simplest form of 0.96 as a fraction is: \[ \frac{24}{25} \]

The correct answer from your options is:
Start Fraction 24 over 25 End Fraction.