Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem K. 468. (September 2015)

K. 468. $\displaystyle x$ denotes a positive integer such that the fraction $\displaystyle \frac{30−x}{91}$ can be rationalized. Find all possible values of the fraction, expressed in lowest terms.

(6 pont)

Deadline expired on October 12, 2015.

### Statistics:

 140 students sent a solution. 6 points: 60 students. 5 points: 31 students. 4 points: 19 students. 3 points: 15 students. 2 points: 9 students. 1 point: 3 students. 0 point: 3 students.

Problems in Mathematics of KöMaL, September 2015