Question
64/80 in simplest form
Answers
GPT-4o mini
To simplify the fraction \( \frac{64}{80} \), we need to find the greatest common divisor (GCD) of the numerator (64) and the denominator (80).
1. The prime factorization of 64 is \( 2^6 \).
2. The prime factorization of 80 is \( 2^4 \times 5 \).
The GCD is the product of the lowest powers of the common prime factors. Here, the common prime factor is 2.
The lowest power of 2 from the factorizations is \( 2^4 \).
Now we can divide both the numerator and the denominator by the GCD (16):
\[
\frac{64 \div 16}{80 \div 16} = \frac{4}{5}
\]
Thus, the simplified form of \( \frac{64}{80} \) is \( \frac{4}{5} \).
1. The prime factorization of 64 is \( 2^6 \).
2. The prime factorization of 80 is \( 2^4 \times 5 \).
The GCD is the product of the lowest powers of the common prime factors. Here, the common prime factor is 2.
The lowest power of 2 from the factorizations is \( 2^4 \).
Now we can divide both the numerator and the denominator by the GCD (16):
\[
\frac{64 \div 16}{80 \div 16} = \frac{4}{5}
\]
Thus, the simplified form of \( \frac{64}{80} \) is \( \frac{4}{5} \).