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Sagot :
Para ordenar las fracciones de menor a mayor, primero vamos a convertir cada fracción a su forma decimal.
1. Convertimos las fracciones a decimales:
- [tex]\(\frac{3}{4}\)[/tex]:
- Dividimos 3 entre 4: [tex]\( \frac{3}{4} = 0.75 \)[/tex]
- [tex]\(\frac{2}{5}\)[/tex]:
- Dividimos 2 entre 5: [tex]\( \frac{2}{5} = 0.4 \)[/tex]
- [tex]\(\frac{3}{2}\)[/tex]:
- Dividimos 3 entre 2: [tex]\( \frac{3}{2} = 1.5 \)[/tex]
- [tex]\(\frac{7}{4}\)[/tex]:
- Dividimos 7 entre 4: [tex]\( \frac{7}{4} = 1.75 \)[/tex]
2. Listamos las fracciones con sus equivalentes decimales:
- [tex]\(\frac{3}{4} = 0.75\)[/tex]
- [tex]\(\frac{2}{5} = 0.4\)[/tex]
- [tex]\(\frac{3}{2} = 1.5\)[/tex]
- [tex]\(\frac{7}{4} = 1.75\)[/tex]
3. Ordenamos los valores decimales de menor a mayor:
- [tex]\(0.4, 0.75, 1.5, 1.75\)[/tex]
4. Asociamos los valores decimales de regreso a sus fracciones originales:
- [tex]\(0.4\)[/tex] corresponde a [tex]\(\frac{2}{5}\)[/tex]
- [tex]\(0.75\)[/tex] corresponde a [tex]\(\frac{3}{4}\)[/tex]
- [tex]\(1.5\)[/tex] corresponde a [tex]\(\frac{3}{2}\)[/tex]
- [tex]\(1.75\)[/tex] corresponde a [tex]\(\frac{7}{4}\)[/tex]
5. Finalmente, ordenamos las fracciones de menor a mayor:
- [tex]\( \frac{2}{5} \)[/tex]
- [tex]\( \frac{3}{4} \)[/tex]
- [tex]\( \frac{3}{2} \)[/tex]
- [tex]\( \frac{7}{4} \)[/tex]
Por lo tanto, las fracciones ordenadas de menor a mayor son:
[tex]\[ \frac{2}{5}, \frac{3}{4}, \frac{3}{2}, \frac{7}{4} \][/tex]
1. Convertimos las fracciones a decimales:
- [tex]\(\frac{3}{4}\)[/tex]:
- Dividimos 3 entre 4: [tex]\( \frac{3}{4} = 0.75 \)[/tex]
- [tex]\(\frac{2}{5}\)[/tex]:
- Dividimos 2 entre 5: [tex]\( \frac{2}{5} = 0.4 \)[/tex]
- [tex]\(\frac{3}{2}\)[/tex]:
- Dividimos 3 entre 2: [tex]\( \frac{3}{2} = 1.5 \)[/tex]
- [tex]\(\frac{7}{4}\)[/tex]:
- Dividimos 7 entre 4: [tex]\( \frac{7}{4} = 1.75 \)[/tex]
2. Listamos las fracciones con sus equivalentes decimales:
- [tex]\(\frac{3}{4} = 0.75\)[/tex]
- [tex]\(\frac{2}{5} = 0.4\)[/tex]
- [tex]\(\frac{3}{2} = 1.5\)[/tex]
- [tex]\(\frac{7}{4} = 1.75\)[/tex]
3. Ordenamos los valores decimales de menor a mayor:
- [tex]\(0.4, 0.75, 1.5, 1.75\)[/tex]
4. Asociamos los valores decimales de regreso a sus fracciones originales:
- [tex]\(0.4\)[/tex] corresponde a [tex]\(\frac{2}{5}\)[/tex]
- [tex]\(0.75\)[/tex] corresponde a [tex]\(\frac{3}{4}\)[/tex]
- [tex]\(1.5\)[/tex] corresponde a [tex]\(\frac{3}{2}\)[/tex]
- [tex]\(1.75\)[/tex] corresponde a [tex]\(\frac{7}{4}\)[/tex]
5. Finalmente, ordenamos las fracciones de menor a mayor:
- [tex]\( \frac{2}{5} \)[/tex]
- [tex]\( \frac{3}{4} \)[/tex]
- [tex]\( \frac{3}{2} \)[/tex]
- [tex]\( \frac{7}{4} \)[/tex]
Por lo tanto, las fracciones ordenadas de menor a mayor son:
[tex]\[ \frac{2}{5}, \frac{3}{4}, \frac{3}{2}, \frac{7}{4} \][/tex]
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