Question
Use the diagram to answer all parts of the item. The fraction represented by the yellow part will be referred to as the yellow fraction, and the fraction represented by the green parts will be referred to as the green fraction.
Three equal-sized bars are shown. The top bar has no divisions. The middle bar is divided into 2 parts, with 1 part colored yellow. The bottom bar is divided into 10 parts, with 4 parts colored green.
Part A
Select which fractions are shown by the yellow fraction (first) and the green fraction (second).
(1 point)
Responses
24
and 110
2 4 and 1 10
12
and 410
1 2 and 4 10
22
and 410
2 2 and 4 10
12
and 52
1 2 and 5 2
Question 2
(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Part B
Find a fraction that is both equivalent to the yellow fraction and has the same denominator as the green fraction.
Drag the correct number into the box to complete the fraction.
______
10
Three equal-sized bars are shown. The top bar has no divisions. The middle bar is divided into 2 parts, with 1 part colored yellow. The bottom bar is divided into 10 parts, with 4 parts colored green.
Part A
Select which fractions are shown by the yellow fraction (first) and the green fraction (second).
(1 point)
Responses
24
and 110
2 4 and 1 10
12
and 410
1 2 and 4 10
22
and 410
2 2 and 4 10
12
and 52
1 2 and 5 2
Question 2
(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Part B
Find a fraction that is both equivalent to the yellow fraction and has the same denominator as the green fraction.
Drag the correct number into the box to complete the fraction.
______
10
Answers
GPT-4o mini
To answer Part A:
1. **Identifying the Yellow Fraction:**
- In the middle bar, which is divided into 2 parts, 1 part is colored yellow. Therefore, the yellow fraction is \( \frac{1}{2} \).
2. **Identifying the Green Fraction:**
- In the bottom bar, which is divided into 10 parts, 4 parts are colored green. Therefore, the green fraction is \( \frac{4}{10} \).
The correct response for Part A is:
**\( \frac{1}{2} \) and \( \frac{4}{10} \)**.
---
For Part B:
To find a fraction that is equivalent to the yellow fraction \( \frac{1}{2} \) with the same denominator as the green fraction \( \frac{4}{10} \):
We need to convert \( \frac{1}{2} \) to an equivalent fraction with a denominator of 10.
To do this, we can multiply both the numerator and the denominator of \( \frac{1}{2} \) by 5:
\[
\frac{1 \times 5}{2 \times 5} = \frac{5}{10}
\]
So, the equivalent fraction is \( \frac{5}{10} \).
The correct number to drag into the box to complete the fraction is:
**5**.
1. **Identifying the Yellow Fraction:**
- In the middle bar, which is divided into 2 parts, 1 part is colored yellow. Therefore, the yellow fraction is \( \frac{1}{2} \).
2. **Identifying the Green Fraction:**
- In the bottom bar, which is divided into 10 parts, 4 parts are colored green. Therefore, the green fraction is \( \frac{4}{10} \).
The correct response for Part A is:
**\( \frac{1}{2} \) and \( \frac{4}{10} \)**.
---
For Part B:
To find a fraction that is equivalent to the yellow fraction \( \frac{1}{2} \) with the same denominator as the green fraction \( \frac{4}{10} \):
We need to convert \( \frac{1}{2} \) to an equivalent fraction with a denominator of 10.
To do this, we can multiply both the numerator and the denominator of \( \frac{1}{2} \) by 5:
\[
\frac{1 \times 5}{2 \times 5} = \frac{5}{10}
\]
So, the equivalent fraction is \( \frac{5}{10} \).
The correct number to drag into the box to complete the fraction is:
**5**.