\(19\dfrac{1}{4}\text{+}\dfrac{1}{2}.2\dfrac{1}{3}\text{+}5,75-\dfrac{1}{6}\text{+}74\)
=\(\dfrac{77}{4}\text{+}\dfrac{1}{2}.\dfrac{7}{3}\text{+}\dfrac{23}{4}-\dfrac{1}{6}\text{+}74\)
=\(\dfrac{77}{4}\text{+}\dfrac{23}{4}\text{+}\dfrac{7}{6}-\dfrac{1}{6}\text{+}74\)
=\(25\text{+}1\text{+}74\)
=\(100\)