Question
Evaluate 52÷74 and simplify your answer completely.(1 point) Responses 126 12 sixths 99 9 ninths 358 35 eighths 107
Answers
GPT-4o mini
To evaluate \( \frac{52}{74} \) and simplify it completely, we first find the greatest common divisor (GCD) of 52 and 74.
The prime factorization of 52 is:
\[ 52 = 2^2 \times 13 \]
The prime factorization of 74 is:
\[ 74 = 2 \times 37 \]
The common factor is \( 2 \).
Now, we can divide both the numerator and the denominator by 2:
\[
\frac{52 \div 2}{74 \div 2} = \frac{26}{37}
\]
Since 26 and 37 have no common factors other than 1, \( \frac{26}{37} \) is in its simplest form.
Thus, the simplified answer to \( 52 \div 74 \) is:
\[
\frac{26}{37}
\]
Among the provided options, none match \( \frac{26}{37} \). If you have specific options related to fractions or mixed numbers or need further assistance, please let me know!
The prime factorization of 52 is:
\[ 52 = 2^2 \times 13 \]
The prime factorization of 74 is:
\[ 74 = 2 \times 37 \]
The common factor is \( 2 \).
Now, we can divide both the numerator and the denominator by 2:
\[
\frac{52 \div 2}{74 \div 2} = \frac{26}{37}
\]
Since 26 and 37 have no common factors other than 1, \( \frac{26}{37} \) is in its simplest form.
Thus, the simplified answer to \( 52 \div 74 \) is:
\[
\frac{26}{37}
\]
Among the provided options, none match \( \frac{26}{37} \). If you have specific options related to fractions or mixed numbers or need further assistance, please let me know!