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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 ?

Respuesta :

penfila11Pen
Lets get started :)

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

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

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

[tex] \frac{3}{4}\ \textless \ \frac{5}{6} \ \textless \ \frac{9}{10} [/tex]

Photon
Let's get started.

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

[tex] \frac{3}{4} \ \textless \ x\ \textless \ \frac{9}{10} [/tex]

x is the number we are looking for.

[tex] \frac{3}{4} = 0.75[/tex]

and

[tex] \frac{9}{10} = 0.90[/tex]

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 : [tex] \frac{5}{6} [/tex]

In short, the number is [tex] \frac{5}{6} [/tex].

Hope this helps !

[tex]Photon[/tex]


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