Question

Which fraction can be replaced with 1/2 when estimating with fractions?

A 10/12

B 7/16

C 2/9

D 1/8

Answer 1

I would think it would be 7/16.....because 1/2 would be 8/16

Answer 2

We have to replace our given options with 1/2

We will check each options

option-A:

Let's assume it is equal to 1/2

`(10)/(12) =(1)/(2)`

now, we can cross multiply

and we get

`10*2 =1*12`

`20 =12`

We can see that difference between 20 and 12 is large

so, this can not be estimate

so, this is FALSE

option-B:

Let's assume it is equal to 1/2

`(7)/(16) =(1)/(2)`

now, we can cross multiply

and we get

`7*2 =1*16`

`14 =16`

We can see that difference between 14 and 16 is small

so, this can be estimate

so, this is TRUE

option-C:

Let's assume it is equal to 1/2

`(2)/(9) =(1)/(2)`

now, we can cross multiply

and we get

`2*2 =1*9`

`4 =9`

We can see that difference between 4 and 9 is large

so, this can not be estimate

so, this is FALSE

option-D:

Let's assume it is equal to 1/2

`(1)/(8) =(1)/(2)`

now, we can cross multiply

and we get

`1*2 =1*8`

`2 =8`

We can see that difference between 2 and 8 is large

so, this can not be estimate

so, this is FALSE