Answer:
B.
![(1)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/iiq2xsk4vi9pqjukqb60xxgyxukyno498i.png)
Explanation:
We have been given that every 2/3 hour, Harris can sew 1/6 pair of jeans.
To find Harris's rate in pairs of jeans per hour, we will divide 1/6 by 2/3 as shown below:
![(1)/(6)/(2)/(3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/816wg06g72ungpzuvjpasnix14z30jr2kr.png)
Convert to multiplication problem by flipping the 2nd fraction:
![(1)/(6)*(3)/(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ri6oyfzog8zq3pzcumj22mfj2t0j4hneen.png)
![(1)/(2)*(1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/v1i3yn1ih5fant6kpwg35ihsiv10dt67vl.png)
![(1* 1)/(2* 2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/imzlj1bygs49167w4fzvccqp8dq83r6zhs.png)
![(1)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/iiq2xsk4vi9pqjukqb60xxgyxukyno498i.png)
Therefore, Harris's sewing rate is
pairs of jeans per hour and option B is the correct choice.