Answer:
18 pieces
Explanation:
Divide the 3 yd string by 1/6:
![(3)/((1)/(6) )](https://img.qammunity.org/2020/formulas/mathematics/high-school/iididognk6vx1wm97ffmvjctkdrgygtelt.png)
Rewrite that to look a little more manageable:
÷
![(1)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1hfsyqujpiw8kz1nwo0zeow75fj0n2oyv6.png)
And of course you know that if you want to divide fractions, you flip the one on the bottom upside down and change the sign to multiplication:
×
![(6)/(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6h7otj2cc6w4na317rq714qkbbve7fqnno.png)
Do that multiplication and you get 18 pieces.