Question

respuesta de esto hallar el valor de x :(con procedimiento)
1. 7/23 x = 15/17
2. 6/8 x = 13/14
3. 13/26 x = 14/29
4. 29/18 x = 15/21

Answer 1

Solucion paso a paso:

Ejercicio 1

$\frac{7}{23} x=\frac{15}{17} \\x =\frac{(15)(23)}{(17)(7)} \\x= \frac{345}{119}$

Comprobacion

$(\frac{7}{23})(\frac{345}{119}) =\frac{15}{17}\\\frac{2415}{2737}=\frac{15}{17}\\\frac{15}{17}=\frac{15}{17}$

Ejercicio 2

$\frac{6}{8}x=\frac{13}{14}  \\x=\frac{(13)(8)}{(14)(6)} \\x = \frac{104}{84}\\x = \frac{26}{21}$

Comprobacion

$(\frac{6}{8})(\frac{26}{21})=\frac{13}{14}\\(\frac{156}{168})=\frac{13}{14}\\\frac{13}{14}=\frac{13}{14}$

Ejercicio 3

$\frac{13}{26} x=\frac{14}{29} \\x =\frac{(14)(26)}{(29)(13)} \\x=\frac{364}{377} \\x=\frac{28}{29}$

Comprobacion

$(\frac{13}{26})(\frac{28}{29})= \frac{14}{29}\\\frac{364}{754}=\frac{14}{29}\\\frac{14}{29}=\frac{14}{29}$

Ejercicio 4

$\frac{29}{18} x=\frac{15}{21} \\x=\frac{(15)(18)}{(21)(29)} \\x=\frac{270}{609} \\x=\frac{90}{203}$

Comprobacion

$(\frac{29}{18})(\frac{90}{203}) =\frac{15}{21}\\\frac{2610}{3654} =\frac{15}{21}\\\frac{15}{21}=\frac{15}{21}$