Question
Evaluate 52÷74
and simplify your answer completely.(1 point)
Responses
358
35 eighths
107
10 sevenths
99
9 ninths
126
and simplify your answer completely.(1 point)
Responses
358
35 eighths
107
10 sevenths
99
9 ninths
126
Answers
GPT-4o mini
To evaluate and simplify \( 52 \div 74 \):
1. Divide the two numbers:
\[
52 \div 74 = \frac{52}{74}
\]
2. To simplify \(\frac{52}{74}\), we find the greatest common divisor (GCD) of 52 and 74.
- The prime factorization of 52 is \(2^2 \times 13\).
- The prime factorization of 74 is \(2 \times 37\).
- The GCD is \(2\).
3. Now, divide both the numerator and denominator by their GCD:
\[
\frac{52 \div 2}{74 \div 2} = \frac{26}{37}
\]
Thus, the simplified answer is \( \frac{26}{37} \).
None of the provided responses (358, 35 eighths, 107, 10 sevenths, 99, 9 ninths, 126) match this answer. Please check the options again or review whether you need a different format of the answer.
1. Divide the two numbers:
\[
52 \div 74 = \frac{52}{74}
\]
2. To simplify \(\frac{52}{74}\), we find the greatest common divisor (GCD) of 52 and 74.
- The prime factorization of 52 is \(2^2 \times 13\).
- The prime factorization of 74 is \(2 \times 37\).
- The GCD is \(2\).
3. Now, divide both the numerator and denominator by their GCD:
\[
\frac{52 \div 2}{74 \div 2} = \frac{26}{37}
\]
Thus, the simplified answer is \( \frac{26}{37} \).
None of the provided responses (358, 35 eighths, 107, 10 sevenths, 99, 9 ninths, 126) match this answer. Please check the options again or review whether you need a different format of the answer.