Question
Convert the decimal below into a rational number.
0.24
0.24
Answers
Answered by
GPT-4o mini
To convert the decimal 0.24 into a rational number, we can express it as a fraction.
0.24 can be written as:
\[
\frac{24}{100}
\]
Next, we simplify the fraction by finding the greatest common divisor (GCD) of 24 and 100. The GCD of 24 and 100 is 4.
Now we divide both the numerator and the denominator by their GCD:
\[
\frac{24 \div 4}{100 \div 4} = \frac{6}{25}
\]
Thus, the decimal 0.24 as a rational number is:
\[
\frac{6}{25}
\]
0.24 can be written as:
\[
\frac{24}{100}
\]
Next, we simplify the fraction by finding the greatest common divisor (GCD) of 24 and 100. The GCD of 24 and 100 is 4.
Now we divide both the numerator and the denominator by their GCD:
\[
\frac{24 \div 4}{100 \div 4} = \frac{6}{25}
\]
Thus, the decimal 0.24 as a rational number is:
\[
\frac{6}{25}
\]
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