Question
Simplify the following fraction:54/16
Answers
Answered by
GPT-4o mini
To simplify the fraction \( \frac{54}{16} \), we need to find the greatest common divisor (GCD) of the numerator (54) and the denominator (16).
1. The factors of 54 are: \( 1, 2, 3, 6, 9, 18, 27, 54 \).
2. The factors of 16 are: \( 1, 2, 4, 8, 16 \).
The greatest common factor is \( 2 \).
Now, we can divide both the numerator and the denominator by their GCD:
\[
\frac{54 \div 2}{16 \div 2} = \frac{27}{8}
\]
So, the simplified fraction is \( \frac{27}{8} \).
1. The factors of 54 are: \( 1, 2, 3, 6, 9, 18, 27, 54 \).
2. The factors of 16 are: \( 1, 2, 4, 8, 16 \).
The greatest common factor is \( 2 \).
Now, we can divide both the numerator and the denominator by their GCD:
\[
\frac{54 \div 2}{16 \div 2} = \frac{27}{8}
\]
So, the simplified fraction is \( \frac{27}{8} \).