Select the equation represented by the fraction strips below.

Question

3 whole unit fraction strips are shown lined up horizontally and side to side. Each whole unit is labeled with a 1. Directly below these unit strips and to the left are 5 smaller strips that are each a quarter of the length of a unit strip. Farther down and to the right of these smaller strips are 2 more quarter-length strips with an arrow pointing from these two strips to a dashed outline next to the original 5 fraction strips.

(1 point)
Responses

5/4+1/4=6/4

5 4 + 1 4 = 6 4

5/4+2/4=7/4

5 4 + 2 4 = 7 4

5/4+2/4=2

5 4 + 2 4 = 2
5/4+2/4=7/8

Answer 1

The equation represented by the fraction strips described can be interpreted as adding the lengths of the strips.

You have 5 quarter-length strips (each 1/4) and then 2 additional quarter-length strips (also each 1/4). The total length being represented is the sum of these strips.

So, we can express this mathematically:

• The total from the 5 quarter strips is \( 5/4 \).
• The total from the 2 additional quarter strips is \( 2/4 \).

When we add these together:

\[ 5/4 + 2/4 = 7/4 \]

Therefore, the correct equation is:

5/4 + 2/4 = 7/4.