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Convert the following fractions to decimals (some may be repeating; solve up to four decimal places in such cases).

1. [tex]$\frac{2}{8}$[/tex]
2. [tex]$\frac{4}{10}$[/tex]
3. [tex]$\frac{16}{8}$[/tex]
4. [tex]$\frac{3}{5}$[/tex]
5. [tex]$\frac{8}{10}$[/tex]
6. [tex]$\frac{12}{16}$[/tex]
7. [tex]$\frac{4}{9}$[/tex]
8. [tex]$\frac{8}{11}$[/tex]


Sagot :

Vamos a convertir cada una de las fracciones dadas en decimales. Si el decimal es infinito, lo redondearemos a cuatro dígitos.

1. Convertir [tex]$\frac{2}{8}$[/tex]:

[tex]\[ \frac{2}{8} = 0.25 \][/tex]

2. Convertir [tex]$\frac{4}{10}$[/tex]:

[tex]\[ \frac{4}{10} = 0.4 \][/tex]

3. Convertir [tex]$\frac{16}{8}$[/tex]:

[tex]\[ \frac{16}{8} = 2.0 \][/tex]

4. Convertir [tex]$\frac{3}{5}$[/tex]:

[tex]\[ \frac{3}{5} = 0.6 \][/tex]

5. Convertir [tex]$\frac{8}{10}$[/tex]:

[tex]\[ \frac{8}{10} = 0.8 \][/tex]

6. Convertir [tex]$\frac{12}{16}$[/tex]:

[tex]\[ \frac{12}{16} = 0.75 \][/tex]

7. Convertir [tex]$\frac{4}{9}$[/tex] (Decimal periódico, redondear a 4 dígitos):

[tex]\[ \frac{4}{9} \approx 0.4444 \][/tex]

8. Convertir [tex]$\frac{8}{11}$[/tex] (Decimal periódico, redondear a 4 dígitos):

[tex]\[ \frac{8}{11} \approx 0.7273 \][/tex]

Ahora que hemos convertido todas las fracciones a decimales, tenemos la siguiente lista de resultados:

[tex]\[ \left[0.25, 0.4, 2.0, 0.6, 0.8, 0.75, 0.4444, 0.7273\right] \][/tex]

Cada uno de estos valores es el resultado de la conversión de las fracciones dadas en decimales.