Question

Simplificati fractiile :
\frac{ab00ab}{290029} , \frac{xy30+35xy}{15}


Va rog frumos !

Answer 1

                     
$\frac{ab00ab}{290029} = \\ \\ = \frac{a*10*10000+b*10000+a*10+b}{29*10001}= \\ \\ \frac{ (10a+b)*10000 + (10a+b)}{29*10001}= \\ \\ = \frac{ (10a+b)(10000 + 1)}{29*10001}= \\ \\ \frac{ (10a+b)*10001}{29*10001} = \frac{ (10a+b)}{29}=\frac{ (ab)}{29}$


$\frac{xy30+35xy}{15}= \\ \\ = \frac{(10x+y)*100+30 + 35*100+(10x+y) } {15}= \\ \\ = \frac{(10x+y)(100+1) + 3530}{15}= \\ \\ = \frac{(10x+y)(101) + 3530}{15}= \frac{101*xy+3530}{15}\;\;\; \text{Nu se simplifica}$