Decimals as Rational Numbers Quick Check

Question

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

96/100
Start Fraction 96 over 100 End Fraction

9/6
Start Fraction 9 over 6 End Fraction

48/50
Start Fraction 48 over 50 End Fraction

24/25
Start Fraction 24 over 25 End Fraction
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Answer 1

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

1. Write 0.96 as a fraction: \( \frac{96}{100} \).
2. Simplify it by finding the greatest common divisor (GCD) of 96 and 100.

The GCD of 96 and 100 is 4. Now divide both the numerator and denominator by 4:

\[ \frac{96 \div 4}{100 \div 4} = \frac{24}{25} \]

Therefore, the simplest form of 0.96 as a fraction is:

24/25

So the correct response is: 24/25