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

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

Answer 1

To convert the decimal 0.96 to a fraction in simplest form, follow these steps:

1. Write 0.96 as a fraction with 100 as the denominator: \(\frac{96}{100}\).
2. Simplify this fraction by finding the greatest common divisor (GCD) of 96 and 100, which is 4.
3. Divide both the numerator and the denominator by their GCD:

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

So, 0.96 as a fraction in simplest form is \(\frac{24}{25}\).

The correct answer is:
\(\frac{24}{25}\).