Tina and Gray each had the same length of string. Tina used
3
4
of her string.
Using eighths, what fraction of the length of the string will Gray need to use to match the amount Tina used?
Use the number line to help find your answer.
A number line from zero to one is shown. Tick marks are labeled one-eighth, two-eighths, three-eighths, four-eighths, five-eighths, six-eighths, and seven eighths.
A.
2
8
B.
3
8
C.
5
8
D.
6
8
Tina used 3/4 of her string, which is equivalent to 6/8. Therefore, Gray would need to use 6/8 to match the amount Tina used, which is answer choice D, 6/8.
To find the fraction of the length of the string that Gray needs to use to match the amount Tina used, we first need to determine the fraction of the string that Tina used.
Given that Tina used
3
4
of her string, we can represent this as a fraction on the number line.
Since the string is divided into eighths on the number line, we can see that
3
4
of the string would be equivalent to
6
8
on the number line.
Now, we can look at the number line and see which fraction represents the amount Gray needs to use to match Tina's
6
8
.
From the number line, we can see that the fraction representing
6
8
is
6
8
. Therefore, the answer is option D:
6
8
.
To find the fraction of the length of the string that Gray needs to use to match the amount Tina used, we can follow these steps:
1. Determine the fraction of the string that Tina used. Tina used
3
4
of her string.
2. Compare the fraction Tina used to the possible answer choices using the number line provided.
3. On the number line, locate
3
4
. This is the point that represents the fraction of the string Tina used. It falls between the tick marks labeled three-eighths and four-eighths.
4. Look at the answer choices given. The answer choice that corresponds to the fraction between three-eighths and four-eighths is:
C.
5
8
.
Therefore, Gray needs to use
5
8
of the length of the string to match the amount Tina used.