Question

¿cuanto le debemos quitar a los 2/3 de los 5/7 de los 6/5 de los 3/4de 21 para que sea igual a la mitad de 1/3 de 2/5 de 14 *-*

Answer 1

$((( (21* \frac{3}{4} ) *\frac{6}{5})* \frac{5}{7})* \frac{2}{3}) - x = ((14* \frac{2}{5})* \frac{1}{3})/2 \\ (21* \frac{3}{4} *\frac{6}{5}* \frac{5}{7}* \frac{2}{3}) - x = 14* \frac{2}{5}* \frac{1}{3} * \frac{1}{2} \\ (21* \frac{3}{4} *\frac{6}{5}* \frac{5}{7}* \frac{2}{3}) - x = 14* \frac{2}{5}* \frac{1}{3} * \frac{1}{2} \\ ( \frac{21*3*6*5*2}{4*5*7*3}) - x = \frac{14*2*1*1}{5*3*2} \\ ( \frac{21*3*6*5*2}{4*5*21}) - x = \frac{14*2}{5*3*2}$
$(\frac{21*3*6*5*2}{4*5*21}) - x = \frac{14*2}{5*3*2} \\ (\frac{3*6*5*2}{4*5}) - x = \frac{14}{15} \\ (\frac{3*6*2}{4}) - x = \frac{14}{15} \\ (\frac{3*6}{2}) - x = \frac{14}{15} \\ (3*3) - x = \frac{14}{15} \\ 9x = \frac{14}{15} \\ x = \frac{14}{135}$

Rta: Debemos quitarle $\frac{14}{135}$