Question

I am part of a whole. I am greater than three fourths but less than nine tenths. I am a decimal with a 3 in its hundredth place. What number am I ?

Answer 1

Let's get started.

You solve this you have to transform these fractions into decimal numbers.


`(3)/(4) \ \textless \ x\ \textless \ (9)/(10)`

x is the number we are looking for.


`(3)/(4) = 0.75`

and


`(9)/(10) = 0.90`

So we are looking for a number between 0.75 and 0.90, with a three in its hundredth place. It can only be 0.83 since it's the only one with a 3 with a 3 in its hundredth place.

Convert 0.83 into a fraction.

It gives :
`(5)/(6)`

In short, the number is
`(5)/(6)`.

Hope this helps !


`Photon`

Answer 2

Lets get started :)

Given is that the value is greater than three fourths {
`(3)/(4)` = 0.75 }
the value is less than nine tenths {
`(9)/(10)` = 0.9 }
and the value has 3 in its hundredth place

Fractions between
`(3)/(4)` and
`(9)/(10)` are

`(4)/(5)=0.8 , (5)/(6) = 0.8333 , (7)/(8) = 0.875 , (8)/(9) = 0.8888`

Among these fractions, the value which has 3 in its hundredth place is
`(5)/(6)`


`(3)/(4)\ \textless \ (5)/(6) \ \textless \ (9)/(10)`