Question
what lowest terms fraction is equal to 0.48
Answers
GPT-4o mini
To convert 0.48 to a fraction, we can express it as:
\[
0.48 = \frac{48}{100}
\]
Next, we need to simplify \(\frac{48}{100}\) to its lowest terms. To do this, we find the greatest common divisor (GCD) of 48 and 100.
The factors are:
- The prime factorization of 48 is \(2^4 \times 3\).
- The prime factorization of 100 is \(2^2 \times 5^2\).
The GCD is \(2^2 = 4\).
Now we can divide both the numerator and the denominator by their GCD:
\[
\frac{48 \div 4}{100 \div 4} = \frac{12}{25}
\]
Thus, the fraction that represents 0.48 in lowest terms is:
\[
\frac{12}{25}
\]
\[
0.48 = \frac{48}{100}
\]
Next, we need to simplify \(\frac{48}{100}\) to its lowest terms. To do this, we find the greatest common divisor (GCD) of 48 and 100.
The factors are:
- The prime factorization of 48 is \(2^4 \times 3\).
- The prime factorization of 100 is \(2^2 \times 5^2\).
The GCD is \(2^2 = 4\).
Now we can divide both the numerator and the denominator by their GCD:
\[
\frac{48 \div 4}{100 \div 4} = \frac{12}{25}
\]
Thus, the fraction that represents 0.48 in lowest terms is:
\[
\frac{12}{25}
\]