Question

The answer and how you got the answer

Answer 1

`(34)/(15)`

Explanation:

we are asked to evaluate

`4\tfrac{1}{4}`÷
`1\tfrac{7}{8}`

Above we are given mixed fraction which can be converted in proper fraction using formula given below

`a\tfrac{b}{c}=(a * c +b)/(c)`

Hence

`4\tfrac{1}{4}=(4 * 4 +1)/(4)`

`4\tfrac{1}{4}=(17)/(4)`

Also

`1\tfrac{7}{8}=(1 * 8 +7)/(8)`

`1\tfrac{7}{8}=(15)/(8)`

Hence

`4\tfrac{1}{4}` ÷
`1\tfrac{7}{8}`

can be written as

`(17)/(4)` ÷
`(15)/(8)`

Also we know the rule for dividing fraction is as given below

`(a)/(b)` ÷
`(c)/(d)` =
`(a)/(b) * (d)/(c)`

Hence

`(17)/(4)` ÷
`(15)/(8)` =
`(17)/(4) * (8)/(15)`

=
`(17 * 2)/(15)`

=
`(34)/(15)`