Question

Calcula: 9/4 - 2 + (1/3 - 1/6) + ( 1 - 5/8) . ( 1 - 1/3)

Answer 1

Calcular :

$\frac{9}{4}-2+\left(\frac{1}{3}-\frac{1}{6}\right)+\left(1-\frac{5}{8}\right)\cdot \left(1-\frac{1}{3}\right)\\\\\mathrm{Quitar\:los\:parentesis}:\quad \left(a\right)=a\\\\\frac{9}{4}-2+\frac{1}{3}-\frac{1}{6}+\left(1-\frac{5}{8}\right)\left(1-\frac{1}{3}\right)\\\\\frac{9}{4}-2+\frac{1}{3}-\frac{1}{6}+(\frac{3}{8})(\frac{2}{3})\\\\\frac{9}{4}-2+\frac{1}{3}-\frac{1}{6}+\frac{1}{4}\\\\-2+\frac{9}{4}+\frac{1}{3}-\frac{1}{6}+\frac{1}{4}$

$\mathrm{Minimo\:comun\:multiplo\:de\:}6,\:2,\:3,\:6:\quad 6\\\\Reescribir\:las\:fracciones\:basandose\:en\:el\:minimo\:comun\:denominador\\\\=-\frac{2\cdot \:6}{6}+\frac{15}{6}+\frac{2}{6}-\frac{1}{6}\\\\=\frac{-2\cdot \:6+15+2-1}{6}\\\\=\frac{4}{6}\\\\=\frac{2}{3}$

Answer 2

Espero haberte ayudado :3 ;3 :3 ;3 :3