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Find an integer x such that $\frac{2}{3} < \frac{x}{5} < \frac{6}{7}$

 Nov 15, 2020
edited by Thanks4helping  Nov 15, 2020
edited by Thanks4helping  Nov 15, 2020
 #1
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4/5, 2/3 = 0.666666... 4/5 = 0.8, 6/7 = 0.857142...

 Nov 15, 2020
 #2
avatar+114221 
+2

Get a common  denominator  between  3 5 and 7  = 105

 

So we have

 

70 / 105  <  21x / 105  <  90/105

 

Note that if x = 4   we have that

 

70 /105  <  84/ 105  < 90 /105

 

 

cool cool cool

 Nov 15, 2020
 #3
avatar+153 
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read my username!

Thanks4helping  Nov 16, 2020
edited by Thanks4helping  Nov 16, 2020

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