Question

let rational number p/q be closest but not equal to 22/7 among all rational no. with denominator<100 find p-3q pls help​

Answer 1

Answer:

14 will be the number.

Step-by-step explanation:

The rational number 22/7 is closest to p/q but not equal, so multiplying both numerator and denominator by number which is lowest multiple of 7 other than 7, which is 14.  

So, we get that= 22 * 14 /( 7 * 14)=308 /98

Since, we know that the p/q is closest to 22/7 but not equal.

Hence, p/q not equal to 308 /98.

Again, since the q is three times so, p/q = 305/97 or 311/99( numbers with a difference of 3 in the numerator)  

So, p = 305 and q = 97.

Hence, on substituting; p - 3q =  305 - 3*97  =  14

p = 311 and q = 99 again p - 3q =  311 - 3*99  =  14

So, in both cases the value of p-3q is same so the closest number will be 14.

Answer 2

Answer:

The rational number 22/7 is closest to p/q but not equal, so multiplying both numerator and denominator by number which is lowest multiple of 7 other than 7, which is 14.  

So, we get that= 22 * 14 /( 7 * 14)=308 /98

Since, we know that the p/q is closest to 22/7 but not equal.

Hence, p/q not equal to 308 /98.

Again, since the q is three times so, p/q = 305/97 or 311/99( numbers with a difference of 3 in the numerator)  

So, p = 305 and q = 97.

Hence, on substituting; p - 3q =  305 - 3*97  =  14

p = 311 and q = 99 again p - 3q =  311 - 3*99  =  14

So, in both cases the value of p-3q is same so the closest number will be 14.

Step-by-step explanation: