Let's go through a detailed step-by-step solution to find how long each part of the ribbon will be when Kristen cuts it into equal lengths.
1. Initial Ribbon Length:
Kristen starts with a ribbon that measures [tex]\(\frac{3}{4}\)[/tex] yard in length. This can also be expressed as 0.75 yards.
2. Number of Parts:
She decides to cut the ribbon into 5 equal parts.
3. Calculating Length of Each Part:
To find out the length of each equal part, we need to divide the total length of the ribbon by the number of parts.
[tex]\[
\text{Length of each part} = \frac{\text{Total ribbon length}}{\text{Number of parts}}
\][/tex]
Substituting in the given values:
[tex]\[
\text{Length of each part} = \frac{0.75 \text{ yards}}{5}
\][/tex]
4. Performing the Division:
Dividing 0.75 yards by 5 gives:
[tex]\[
\text{Length of each part} = 0.15 \text{ yards}
\][/tex]
Therefore, when Kristen cuts her [tex]\(\frac{3}{4}\)[/tex] yard (or 0.75 yard) ribbon into 5 equal parts, each part will be 0.15 yards long.
