Question

Rewrite 1/6 book over 2/3 hour as a unit rate​

Answer 1

1/4 book an hour

Answer 2

`(1)/(4)` books per hour.

Explanation:

Given:

For
`(2)/(3)` hours, part of book is
`(1)/(6)`

To find: Unit rate

Unit rate is the part of book completed in one hour.

So, we use unitary method to determine the unit rate.

Unit rate is given as:

`\textrm{Unit rate}=\frac{\textrm{Total part of book}}{\textrm{Total part of hours}}\\\textrm{Unit rate}=(1)/(6)/ (2)/(3)`

On dividing 2 fractions, the division changes to multiplication and the second fraction is reversed. This gives,

`\textrm{Unit rate}=(1)/(6)/ (2)/(3)\\\\\textrm{Unit rate}=(1)/(6)* (3)/(2)\\\textrm{Unit rate}=(1* 3)/(6* 2)\\\textrm{Unit rate}=(3)/(12)\\\textrm{Unit rate}=(3/ 3)/(12/ 3)=(1)/(4)`

Therefore, the unit rate is
`(1)/(4)` books per hour.