Answer:
4 toothpicks.
Step-by-step explanation:
We have been given that Kiley had a piece of bamboo skewer that measured [tex]14\frac{3}{5}[/tex] inches long. She wanted to cut it into toothpicks that were each [tex]3\frac{1}{5}[/tex] inches long.
To find the number of toothpicks that Kiley can make from bamboo skewer, we need to divide the length of skewer by length of each toothpick.
[tex]\text{Total number of toothpicks}=14\frac{3}{5}\div 3\frac{1}{5}[/tex]
First of all, we will convert our given mixed fractions into improper fractions as:
[tex]\text{Total number of toothpicks}=\frac{73}{5}\div \frac{16}{5}[/tex]
Dividing a fraction by another fraction is same as multiplying the 1st fraction by the reciprocal of 2nd fraction.
[tex]\text{Total number of toothpicks}=\frac{73}{5}\times \frac{5}{16}[/tex]
[tex]\text{Total number of toothpicks}=\frac{73}{16}[/tex]
[tex]\text{Total number of toothpicks}=4.5625[/tex]
Therefore, Kiley can make 4 toothpicks.
