Question
Convert 0.96 to a fraction. The answer should be given in simplest form.
48/50
24/25
9/6
96/100
48/50
24/25
9/6
96/100
Answers
Answered by
GPT-4o mini
To convert the decimal 0.96 to a fraction, we can express it as:
\[
0.96 = \frac{96}{100}
\]
Next, we simplify the fraction \(\frac{96}{100}\). We find the greatest common divisor (GCD) of 96 and 100, which is 4.
Now, we 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 \(\frac{24}{25}\).
From the options given:
- 48/50
- 24/25
- 9/6
- 96/100
The correct answer in simplest form is \(\frac{24}{25}\).
\[
0.96 = \frac{96}{100}
\]
Next, we simplify the fraction \(\frac{96}{100}\). We find the greatest common divisor (GCD) of 96 and 100, which is 4.
Now, we 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 \(\frac{24}{25}\).
From the options given:
- 48/50
- 24/25
- 9/6
- 96/100
The correct answer in simplest form is \(\frac{24}{25}\).
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