Question

I need help with both of these questions please

Answer 1

`(22)/(30) = (11)/(15)`

and

`(176)/(7) = 25 (1)/(7)`

Explanation:

First make all the fractions into improper fractions

`1(5)/(6) = (11)/(6) \\\\2(1)/(2) = (5)/(2) \\\\3(1)/(7) = (22)/(7)`

After doing that put them back into the problems

Problem 1)

`1(5)/(6)` ÷
`2(1)/(2)` , plug in the improper fractions

`(11)/(6)` ÷
`(5)/(2)`

to divide, you need to flip the second fraction and multiply

`(11)/(6)`·
`(2)/(5)` =
`(22)/(30)`

then reduce

`(22)/(30) = (11)/(15)`

Problem 2)

`3(1)/(7)`÷
`(1)/(8)\\`

Plug in improper fraction

`(22)/(7)` ÷
`(1)/(8)\\`

Then flip second fraction and multiply

`(22)/(7)` ·
`(8)/(1)`

Multiply

`(176)/(7)`

Reduce, or make it a mixed number

`(176)/(7) = 25 (1)/(7)`