Question

9. Let the rational number p/q be closest to but not equal to 22/7 among all rational numbers
with denominator < 100. What is the value of p-3q?
​

Answer 1

Answer:

p-3q = 14

Step-by-step explanation:

Let the rational number p/q be closest to but not equal to 22/7

22/7  

= 22 * 14 /( 7 * 14)

= 308 /98

p/q be closest to but not equal to 22/7

p/q ≠ 308 /98

=> p/q = 305/97  or  311/99  

p = 305

 q = 97

p - 3q =  305 - 3*97  =  14

p = 311

 q = 99

p - 3q =  311 - 3*99  =  14

the value of p-3q = 14