Question

Sayed gave an answer of 6 6/7 for the problem 4 2/7 x 1 3/5. using estimates, is this a reasonable answer?

Answer 1

Answer:
His estimation is correct

Step-by-step explanation:
First, we will convert the mixed number to fractions as follows:
4
`(2)/(7)` = [(7*4)+2] / 7 =
`(30)/(7)`

1
`(3)/(5)` = [(5*1)+3] / 5 =
`(8)/(5)`

Then, we will do the multiplication as follows:

`(30)/(7)` *
`(8)/(5)`
=
`(30*8)/(7*5)`
=
`(240)/(35)`
=
`(48)/(7)`

Finally, converting the
`(48)/(7)` into a mixed number, we will find that it is equivalent to 6
`(6)/(7)`

Hope this helps :)