Question

(15/8)(27/12)(4/9)(810)=​

Answer 1

$\left(\frac{15}{8}\right)\cdot \left(\frac{27}{12}\right)\cdot \left(\frac{4}{9}\right)\cdot \left(\frac{8}{10}\right)$

$\left(\frac{15}{8}\right)\cdot \left(\frac{27}{12}\right)\cdot \left(\frac{4}{9}\right)\cdot \left(\frac{8}{10}\right)=\left(\frac{15}{8}\right)\cdot \left(\frac{27}{12}\right)\cdot \left(\frac{4}{9}\right)\cdot \left(\frac{8}{10}\right)$

$Cancelamos\:el\:factor\:comun:8$

$=\frac{15}{10}\cdot \frac{27}{12}\cdot \frac{4}{9}$

$\mathrm{Despues\:descomprimimos\:el\:numero\:en\:factores\:primos:}\:15=5\cdot \:3$

$=\frac{5\cdot \:3}{10}\cdot \frac{27}{12}\cdot \frac{4}{9}$

$10=5\cdot \:2$

$=\frac{5\cdot \:3}{5\cdot \:2}\cdot \frac{27}{12}\cdot \frac{4}{9}$

$=\frac{3}{2}\cdot \frac{27}{12}\cdot \frac{4}{9}$

$=\frac{3}{2}\cdot \frac{3\cdot \:9}{12}\cdot \frac{4}{9}$

$=\frac{3}{2}\cdot \frac{3\cdot \:9}{3\cdot \:4}\cdot \frac{4}{9}$

$=\frac{3}{2}\cdot \frac{9}{4}\cdot \frac{4}{9}$

$=\frac{3}{2}\cdot \:1$

$\:1=\frac{1}{1}$

$=\frac{3}{2}\cdot \frac{1}{1}$

$=\frac{3\cdot \:1}{2\cdot \:1}$

$3\cdot \:1=3$

$=\frac{3}{2\cdot \:1}$

$2\cdot \:1=2$

$=\frac{3}{2}$

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