To determine how many full strips of length [tex]\( \frac{11}{4} \)[/tex] inches can be cut from a string that is 4 inches long, follow these steps:
1. Understand the division: The question involves dividing the total length of the string by the length of each strip to find out how many full strips can be made.
2. Establish the lengths:
- The total length of the string is 4 inches.
- The length of each strip is [tex]\( \frac{11}{4} \)[/tex] inches.
3. Calculate the number of full strips:
- To find out how many [tex]\( \frac{11}{4} \)[/tex]-inch strips fit into 4 inches, you perform the division [tex]\( \frac{4}{\frac{11}{4}} \)[/tex].
4. Simplify the division:
- The division [tex]\( \frac{4}{\frac{11}{4}} \)[/tex] is calculated by multiplying by the reciprocal of [tex]\( \frac{11}{4} \)[/tex]. Thus, it becomes [tex]\( 4 \times \frac{4}{11} \)[/tex].
- Simplifying this, you get [tex]\( \frac{16}{11} \)[/tex].
5. Interpret the result:
- The result [tex]\( \frac{16}{11} \approx 1.45 \)[/tex] indicates that you can cut 1 full strip and will have some length of the string remaining, but not enough to make another full strip.
Therefore, you can cut 1 full strip of [tex]\( \frac{11}{4} \)[/tex] inches from a 4-inch long string.
