The following question has two parts. First, answer part A. Then, answer part B. Both parts refer to the fraction model below.

Question

The following question has two parts. First, answer part A. Then, answer part B. Both parts refer to the fraction model below.

3 equal-sized bars are shown. The top bar does not have any divisions. The second bar is divided into halves, with one half colored yellow. The third bar is divided into tenths, with the first five bars colored green.

Part A
Select the fraction that is equivalent to
1
2
and represented by the blue bars in the bottom fraction strip.

A.
1
2
B.
5
5
C.
1
10
D.
5
10
Part B
Darren states that
5
10
is more than
1
2
because 5 is more than 1. Select whether you agree or disagree and select your reasoning for thinking so.

I
Choose...
with Darren. The fractions
1
2
and
5
10

Choose...
equivalent and refer to wholes that are
Choose...
, therefore the fractions name
Choose...
part of a whole.

Answer 1

Part A: The fraction that is equivalent to 1/2 and represented by the blue bars in the bottom fraction strip is D. 5/10.

Part B: I disagree with Darren. The fractions 1/2 and 5/10 are equivalent, as they both represent half of the whole. The denominator may be different, but the numerator represents the same amount. Therefore, they are equal and there is no correct answer to the question of which is more.