Question

Por favor me podéis ayudar con eso, pero explícamela no solo el resultado.

Answer 1

Respuesta:

$2$

Explicación paso a paso:

Tenemos:

$\frac{(\frac{3}{5}+\frac{1}{2} \times \frac{2}{3}) \div (\frac{1}{5} +\frac{4}{3} )}{(1-\frac{5}{6} )(1+\frac{5}{6} )+\frac{1}{36} }\times (1+\frac{2}{21} )$

Haré paso por paso, y le pondré un número a cada paso, así si te surge alguna duda solamente me dices en qué paso fue.

1. $\frac{\frac{(\frac{3}{5}+\frac{1}{2} \times \frac{2}{3})}{(\frac{1}{5} +\frac{4}{3} )}}{(1-\frac{5}{6} )(1+\frac{5}{6} )+\frac{1}{36} }\times (1+\frac{2}{21} )$

2. $\frac{\frac{(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}}{(1-\frac{5}{6} )(1+\frac{5}{6} )+\frac{1}{36} }\times (1+\frac{2}{21} )$

3. $\frac{\frac{(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}}{(1-(\frac{5}{6})^2)+\frac{1}{36} }\times (1+\frac{2}{21} )$

4. $\frac{\frac{(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}}{1-\frac{25}{36}+\frac{1}{36} }\times (1+\frac{2}{21} )$

5. $\frac{\frac{(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}}{\frac{36}{36} -\frac{25}{36}+\frac{1}{36} }\times (1+\frac{2}{21} )$

6. $\frac{\frac{(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}}{\frac{36-25+1}{36} }\times (1+\frac{2}{21})$

7. $\frac{\frac{(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}}{\frac{12}{36} }\times (1+\frac{2}{21})$

8. $\frac{\frac{(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}}{\frac{1}{3} }\times (1+\frac{2}{21})$

9. $\frac{3 \times(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}\times (1+\frac{2}{21})$

10. $\frac{3 \times(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}\times (\frac{21}{21}+\frac{2}{21})$

11. $\frac{3 \times(\frac{3}{5}+\frac{2}{6} )}{(\frac{1}{5} +\frac{4}{3} )}\times (\frac{23}{21})$

12. $\frac{3 \times 23 \times(\frac{3}{5}+\frac{2}{6} )}{21 \times (\frac{1}{5} +\frac{4}{3} )}$

13. $\frac{23 \times(\frac{3}{5}+\frac{2}{6} )}{7 \times (\frac{1}{5} +\frac{4}{3} )}$

14. $\frac{23 \times(\frac{3\times 6 +2 \times5}{30} )}{7 \times (\frac{1}{5} +\frac{4}{3} )}$

15. $\frac{23 \times(\frac{3\times 6 +2 \times5}{30} )}{7 \times (\frac{1\times 3+4\times 5}{15})}$

16. $\frac{23 \times(\frac{18 +10}{30} )}{7 \times (\frac{3+20}{15})}$

17. $\frac{23 \times\frac{28}{30}}{7 \times \frac{23}{15}}$

18. $\frac{\frac{23 \times28}{30}}{\frac{7 \times 23}{15}}$

19. $\frac{23 \times28 \times 15}{30 \times 7 \times 23}}$

20. $\frac{28 \times 15}{30 \times 7}}$

21. $\frac{4 \times 15}{30}}$

22. $\frac{4}{2}}$

Y listo, espero haberte ayudado, éxitos en tu estudio.