Question

(4/5+1/6+1) (7/2+1/4-1) (3/2-1/4+1 ) (13/5-3/2-1/8) (1 5/8+2/3-1) (7/5-1/10+3/7)

Answer 1

RESOLVER:

$\left(\frac{4}{5}+\frac{1}{6}+1\right)\left(\frac{7}{2}+\frac{1}{4}-1\right)\left(\frac{3}{2}-\frac{1}{4}+1\right)\left(\frac{13}{5}-\frac{3}{2}-\frac{1}{8}\right)\left(1\frac{5}{8}+\frac{2}{3}-1\right)\left(\frac{7}{5}-\frac{1}{10}+\frac{3}{7}\right)$

Hay un número mixto, lo convertimos en impropia: $1\frac{5}{8}:\frac{13}{8}$

Calculamos lo que hay dentro de los paréntesis

$\left(\frac{4}{5}+\frac{1}{6}+1\right):\frac{59}{30}$

$=\frac{59}{30}\left(\frac{7}{2}+\frac{1}{4}-1\right)\left(\frac{3}{2}-\frac{1}{4}+1\right)\left(\frac{13}{5}-\frac{3}{2}-\frac{1}{8}\right)\left(\frac{13}{8}+\frac{2}{3}-1\right)\left(\frac{7}{5}-\frac{1}{10}+\frac{3}{7}\right)$

$\left(\frac{7}{2}+\frac{1}{4}-1\right):\frac{11}{4}$

$=\frac{59}{30}\cdot \frac{11}{4}\left(\frac{3}{2}-\frac{1}{4}+1\right)\left(\frac{13}{5}-\frac{3}{2}-\frac{1}{8}\right)\left(\frac{13}{8}+\frac{2}{3}-1\right)\left(\frac{7}{5}-\frac{1}{10}+\frac{3}{7}\right)$

$\left(\frac{3}{2}-\frac{1}{4}+1\right):\frac{9}{4}$

$=\frac{59}{30}\cdot \frac{11}{4}\cdot \frac{9}{4}\left(\frac{13}{5}-\frac{3}{2}-\frac{1}{8}\right)\left(\frac{13}{8}+\frac{2}{3}-1\right)\left(\frac{7}{5}-\frac{1}{10}+\frac{3}{7}\right)$

$\left(\frac{13}{5}-\frac{3}{2}-\frac{1}{8}\right):\frac{39}{40}$

$=\frac{59}{30}\cdot \frac{11}{4}\cdot \frac{9}{4}\cdot \frac{39}{40}\left(\frac{13}{8}+\frac{2}{3}-1\right)\left(\frac{7}{5}-\frac{1}{10}+\frac{3}{7}\right)$

$\left(\frac{13}{8}+\frac{2}{3}-1\right):\frac{31}{24}$

$=\frac{59}{30}\cdot \frac{11}{4}\cdot \frac{9}{4}\cdot \frac{39}{40}\cdot \frac{31}{24}\left(\frac{7}{5}-\frac{1}{10}+\frac{3}{7}\right)$

$\left(\frac{7}{5}-\frac{1}{10}+\frac{3}{7}\right):\frac{121}{70}$

$=\frac{59}{30}\cdot \frac{11}{4}\cdot \frac{9}{4}\cdot \frac{39}{40}\cdot \frac{31}{24}\cdot \frac{121}{70}$

$\frac{59}{30}\cdot \frac{11}{4}\cdot \frac{9}{4}\cdot \frac{39}{40}\cdot \frac{31}{24}\cdot \frac{121}{70}: \frac{94941561}{3584000}$

$=\frac{94941561}{3584000}$

La forma exacta sería: $\frac{94941561}{3584000}$

La forma decimal sería: $26.49039090...$

La forma numérica mixta sería: $26\frac{1757561}{3584000}$

$Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)$