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

Lets get started :)

Given is that the value is greater than three fourths { $\frac{3}{4}$ = 0.75 }
                      the value is less than nine tenths { $\frac{9}{10}$ = 0.9 }
              and the value has 3 in its hundredth place

Fractions between $\frac{3}{4}$ and $\frac{9}{10}$ are 
$\frac{4}{5}=0.8 , \frac{5}{6} = 0.8333 , \frac{7}{8} = 0.875 , \frac{8}{9} = 0.8888$

Among these fractions, the value which has 3 in its hundredth place is $\frac{5}{6}$

$\frac{3}{4}\ \textless \ \frac{5}{6} \ \textless \ \frac{9}{10}$

Answer 2

Let's get started.

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

$\frac{3}{4} \ \textless \ x\ \textless \ \frac{9}{10}$

x is the number we are looking for.

$\frac{3}{4} = 0.75$

and

$\frac{9}{10} = 0.90$

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 : $\frac{5}{6}$

In short, the number is $\frac{5}{6}$.

Hope this helps !

$Photon$