Question

Which fraction equivalent to one makes this statement true?

69 ÷ ?? = 23

(1 point)
Responses

11
1 over 1

22
2 halves

33
3 thirds

44
4 fourths
Question 3
Select all the fractions that are equivalent to 812(1 point)
Responses

1624
16 over 24

23
2 thirds

1014
10 over 14

46
4 sixths

Answer 1

To solve the first question, we can rearrange the division statement:

69 ÷ ?? = 23

This can be rewritten as:

?? = 69 ÷ 23

Calculating this gives:

?? = 3

Now, we are looking for a fraction equivalent to one that equals 3. The fraction 3 can be expressed as:

3 = 3/1

So, the correct response from the options provided would be **"1 over 1"** since it is equivalent to one, but it doesn't produce the value of 3 directly. However, recognizing the options suggest incorrectly labeled responses, it would seem *none* of the exact listed responses provide a suitable fraction that yields the correct outcome with no direct answers meeting this requirement.

For the second question regarding which fractions are equivalent to \( \frac{8}{12} \):

We can simplify \( \frac{8}{12} \):

1. The greatest common divisor (GCD) of 8 and 12 is 4.
2. Dividing both the numerator and the denominator by 4 gives \( \frac{2}{3} \).

Now let's evaluate the provided options to see which ones yield \( \frac{8}{12} \):

1. **1624**: \( \frac{16}{24} \) is also \( \frac{2}{3} \) upon simplifying, so it's an equivalent fraction.
2. **23**: \( \frac{2}{3} \) as noted earlier.
3. **1014**: \( \frac{10}{14} \) simplifies to \( \frac{5}{7} \), which is not equivalent.
4. **46**: \( \frac{4}{6} \) simplifies to \( \frac{2}{3} \), which is an equivalent fraction.

So the equivalent fractions to \( \frac{8}{12} \) are **1624**, **23**, and **46**.

Final answers:
1. The fraction equivalent to one: **1 over 1**
2. Equivalent fractions to \( \frac{8}{12} \): **1624, 23, 46**.