Question

Evaluate 52÷74
and simplify your answer completely.(1 point)
Responses

A 126
12 sixths

B 107
10 sevenths

C 358
35 eighths

D 99

Answer 1

To evaluate \( \frac{52}{74} \) and simplify it, we start by finding 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 GCD is \( 2 \).

Now we can simplify \( \frac{52}{74} \) by dividing both the numerator and the denominator by their GCD:

\[
\frac{52 \div 2}{74 \div 2} = \frac{26}{37}
\]

This fraction \( \frac{26}{37} \) is already in simplest form because there are no common factors between 26 and 37 (26 is \( 2 \times 13 \) and 37 is prime).

Based on your options, none of them appear to correspond to the correct simplified fraction. If you are looking for a decimal or a specific answer format that matches your options, let me know!

Answer 2

WHATS THE CLOSEST

Answer 3

To find the closest option to the fraction \( \frac{26}{37} \), we can calculate its decimal equivalent:

\[
\frac{26}{37} \approx 0.703
\]

Next, let's examine the options provided:

A. \( 126 \), \( 12 \) sixths \( = 2 \)
B. \( 107 \), \( 10 \) sevenths \( \approx 1.4286 \)
C. \( 358 \), \( 35 \) eighths \( = 4.375 \)
D. \( 99 \), \( 9 \) ninths \( = 10 \)

Now, comparing these values to \( 0.703 \):

- None of the values are particularly close to \( \frac{26}{37} \approx 0.703 \).

However, if we want to find the closest one in terms of numerical proximity, **A (2)** would be the closest, even though none of the options are near the simplification.

If you were looking for something else, please clarify!