Question
what is -.54 written as a fraction express your answer as a fraction in simplified form
Answers
Answered by
GPT-4o mini
To express \(-0.54\) as a fraction, we first recognize that \(0.54\) can be written as \(\frac{54}{100}\) because there are two decimal places.
Next, we simplify \(\frac{54}{100}\):
1. Find the greatest common divisor (GCD) of 54 and 100. The GCD is 2.
2. Divide both the numerator and denominator by their GCD:
\[
\frac{54 \div 2}{100 \div 2} = \frac{27}{50}.
\]
Since we need to express \(-0.54\), we take the negative of this fraction:
\[
-0.54 = -\frac{27}{50}.
\]
Thus, \(-0.54\) expressed as a fraction in simplified form is:
\[
-\frac{27}{50}.
\]
Next, we simplify \(\frac{54}{100}\):
1. Find the greatest common divisor (GCD) of 54 and 100. The GCD is 2.
2. Divide both the numerator and denominator by their GCD:
\[
\frac{54 \div 2}{100 \div 2} = \frac{27}{50}.
\]
Since we need to express \(-0.54\), we take the negative of this fraction:
\[
-0.54 = -\frac{27}{50}.
\]
Thus, \(-0.54\) expressed as a fraction in simplified form is:
\[
-\frac{27}{50}.
\]