\(\frac{575757}{\text{424242}}\)+ \(\frac{575757}{565656}\) + \(\frac{575757}{727272}\) = \(\frac{19}{14}\)+ \(\frac{57}{56}\)+ \(\frac{19}{24}\)
= \(\frac{25536}{18816}\)+ \(\frac{15162}{18816}\)+ \(\frac{14896}{18816}\)
= \(\frac{40698}{18816}\)+ \(\frac{14896}{18816}\)
= \(\frac{55594}{18816}\)
= \(\frac{3971}{1344}\)