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