Ejercicio 1: Cálculos 1) $$ \frac{3}{4} \cdot 2-4\left(-\frac{1}{2}\right)-1.8=1.7 $$ 2) $$ 6.2-3.4:(-2)+\frac{3}{2}=9.4 $$ 3) $$ (1-0.7) \cdot 0.2+1.8: 2-1=-0.04 $$ 4) $$ \frac{2}{5}: \frac{3}{2}+\frac{1}{3} \cdot \frac{3}{5}-1=-0.5 \dot{3} $$ 5) $$ 0.7:(-2)+0.1 \cdot(-0.1)+\frac{1}{4}=-0.11 $$ 6) $$ 10:\left(\frac{1}{6}-\frac{1}{3}\right)+2(-1.4+0.2)=-62.4 $$

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**1) Cálculo de** $$ \frac{3}{4} \cdot 2-4\left(-\frac{1}{2}\right)-1.8 $$  
- Primero, calcular $$ \frac{3}{4} \cdot 2 $$:
  $$
  \frac{3}{4} \cdot 2 = \frac{6}{4} = 1.5
  $$
- Luego, calcular $$ -4\left(-\frac{1}{2}\right) $$:
  $$
  -4\left(-\frac{1}{2}\right)= +4 \cdot \frac{1}{2}= 2.0
  $$
- Finalmente, sumar y restar:
  $$
  1.5 + 2.0 - 1.8 = 1.7
  $$
  
**2) Cálculo de** $$ 6.2-3.4:(-2)+\frac{3}{2} $$  
- Primero, efectuar la división:
  $$
  3.4:(-2)=\frac{3.4}{-2}=-1.7
  $$
- Luego, sustituir y operar:
  $$
  6.2 - (-1.7) + \frac{3}{2} = 6.2 + 1.7 + 1.5 = 9.4
  $$
  
**3) Cálculo de** $$ (1-0.7) \cdot 0.2+1.8:2-1 $$  
- Restar en el paréntesis:
  $$
  1-0.7 = 0.3
  $$
- Multiplicar:
  $$
  0.3 \cdot 0.2 = 0.06
  $$
- Realizar la división:
  $$
  1.8:2 = \frac{1.8}{2}= 0.9
  $$
- Combinar las operaciones:
  $$
  0.06 + 0.9 - 1 = 0.96 - 1 = -0.04
  $$
  
**4) Cálculo de** $$ \frac{2}{5}: \frac{3}{2}+\frac{1}{3} \cdot \frac{3}{5}-1 $$  
- Dividir:
  $$
  \frac{2}{5} : \frac{3}{2} = \frac{2}{5} \cdot \frac{2}{3} = \frac{4}{15}
  $$
- Multiplicar:
  $$
  \frac{1}{3} \cdot \frac{3}{5} = \frac{3}{15} = \frac{1}{5}
  $$
- Sumar y restar:
  $$
  \frac{4}{15}+\frac{1}{5}-1 = \frac{4}{15}+\frac{3}{15}-1 = \frac{7}{15}-1 = -\frac{8}{15}
  $$
  Dado que $$ -\frac{8}{15} \approx -0.5333\ldots $$, se expresa como $$ -0.5\dot{3} $$.

**5) Cálculo de** $$ 0.7:(-2)+0.1 \cdot(-0.1)+\frac{1}{4} $$  
- Dividir:
  $$
  0.7:(-2)=\frac{0.7}{-2}=-0.35
  $$
- Multiplicar:
  $$
  0.1\cdot(-0.1)= -0.01
  $$
- Sumar con la fracción:
  $$
  -0.35 - 0.01 + \frac{1}{4} = -0.35 - 0.01 + 0.25 = -0.11
  $$
  
**6) Cálculo de** $$ 10:\left(\frac{1}{6}-\frac{1}{3}\right)+2(-1.4+0.2) $$  
- Calcular la diferencia de fracciones:
  $$
  \frac{1}{6}-\frac{1}{3} = \frac{1}{6}-\frac{2}{6} = -\frac{1}{6}
  $$
- Realizar la división:
  $$
  10:\left(-\frac{1}{6}\right)=10 \cdot (-6)=-60
  $$
- Calcular la suma en el paréntesis:
  $$
  -1.4+0.2 = -1.2
  $$
- Multiplicar:
  $$
  2(-1.2) = -2.4
  $$
- Sumar ambos resultados:
  $$
  -60-2.4 = -62.4
  $$
1. $$ \frac{3}{4} \cdot 2 - 4\left(-\frac{1}{2}\right) - 1.8 = 1.7 $$ 2. $$ 6.2 - 3.4:(-2) + \frac{3}{2} = 9.4 $$ 3. $$ (1 - 0.7) \cdot 0.2 + 1.8:2 - 1 = -0.04 $$ 4. $$ \frac{2}{5} : \frac{3}{2} + \frac{1}{3} \cdot \frac{3}{5} - 1 = -0.5\dot{3} $$ 5. $$ 0.7:(-2) + 0.1 \cdot (-0.1) + \frac{1}{4} = -0.11 $$ 6. $$ 10:\left(\frac{1}{6} - \frac{1}{3}\right) + 2(-1.4 + 0.2) = -62.4 $$

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