\(\dfrac{75}{35}\) - \(\dfrac{48}{42}\) + \(\dfrac{5}{6}\)
= \(\dfrac{15}{7}\) - \(\dfrac{8}{7}\) + \(\dfrac{5}{6}\)
= \(\dfrac{7}{7}\) + \(\dfrac{5}{6}\)
= 1 + \(\dfrac{5}{6}\)
= \(\dfrac{11}{6}\)
\(\dfrac{75}{35}-\dfrac{48}{42}+\dfrac{5}{6}=\dfrac{15\times5}{7\times5}-\dfrac{8\times6}{7\times6}+\dfrac{5}{6}\)
\(=\dfrac{15}{7}-\dfrac{8}{7}+\dfrac{5}{6}=\dfrac{15-8}{7}+\dfrac{5}{6}\)
\(=\dfrac{7}{7}+\dfrac{5}{6}=1+\dfrac{5}{6}=\dfrac{6}{6}+\dfrac{5}{6}\)
\(=\dfrac{11}{6}\)
75/35 - 48/42+5/6
=15/7-8/7+5/6
= 1 + 5/6
=6/6+5/6
=11/6
