1. **State the problem:** Calculate the value of the expression $\left(1,\frac{4}{5}+\frac{19}{20}\right)\times 2 - 1.5$. 2. **Clarify the expression:** The comma seems to separate two numbers, but likely the intended expression is $\left(1 + \frac{4}{5} + \frac{19}{20}\right) \times 2 - 1.5$. 3. **Add the fractions inside the parentheses:** $$\frac{4}{5} = \frac{16}{20}$$ So, $$1 + \frac{16}{20} + \frac{19}{20} = 1 + \frac{16 + 19}{20} = 1 + \frac{35}{20}$$ 4. **Convert 1 to a fraction with denominator 20:** $$1 = \frac{20}{20}$$ So, $$\frac{20}{20} + \frac{35}{20} = \frac{20 + 35}{20} = \frac{55}{20}$$ 5. **Simplify the fraction:** $$\frac{55}{20} = \frac{\cancel{5}11}{\cancel{5}4} = \frac{11}{4}$$ 6. **Multiply by 2:** $$\frac{11}{4} \times 2 = \frac{11}{4} \times \frac{2}{1} = \frac{11 \times 2}{4} = \frac{22}{4}$$ 7. **Simplify the fraction:** $$\frac{22}{4} = \frac{\cancel{2}11}{\cancel{2}2} = \frac{11}{2}$$ 8. **Subtract 1.5 (which is $\frac{3}{2}$) from $\frac{11}{2}$:** $$\frac{11}{2} - \frac{3}{2} = \frac{11 - 3}{2} = \frac{8}{2} = 4$$ **Final answer:** $4$