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Question

Question 1
Which of the following correctly compares 58
and 38
?(1 point)
Responses

58
< 38
5 eighths < 3 eighths

58
= 38
5 eighths = 3 eighths

58
> 38
5 eighths > 3 eighths
Question 2
Max and Emma each have M&M’s.

Emma starts with 6 M&M’s and eats 4 of them.

Max starts with 3 M&M’s and wants to eat the same fraction of his as Emma ate of hers.

What fraction of his M&M’s should Max eat?

n.

(1 point)
Responses

43
4 thirds

13
1 third

23
2 thirds

33
3 thirds
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Answer 1

Question 1:

To compare 58 and 38, we can simply observe their values.

58 is greater than 38. Therefore, the correct response is:

58 > 38
5 eighths > 3 eighths

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Question 2:

Emma starts with 6 M&M’s and eats 4 of them.

The fraction of M&M’s that Emma eats is: \[ \text{Fraction eaten by Emma} = \frac{4}{6} = \frac{2}{3} \]

Max has 3 M&M’s and wants to eat the same fraction (which is \( \frac{2}{3} \)) of his M&M’s.

To find out how many M&M’s Max should eat: \[ \text{M&M's Max should eat} = \frac{2}{3} \cdot 3 = 2 \]

So, Max should eat \( \frac{2}{3} \) of his M&M's. Therefore, the correct response is:

\(\frac{2}{3}\)
2 thirds

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