Respuesta:
Explicación paso a paso:
[tex]a)[/tex] [tex]3\frac{1}{4} -2\frac{1}{5} + \frac{11}{20} =[/tex]
Expresamos los números mixtos en fracciones:
[tex]\frac{13}{4} -\frac{11}{5} +\frac{11}{20} = \frac{5*13-4*11+1*11}{20}[/tex]
[tex]= \frac{65-44+11}{20}[/tex]
[tex]= \frac{32}{20}[/tex]
Simplificando:
[tex]\frac{32}{20} = \frac{4*8}{4*5} = \frac{8}{5}[/tex]
[tex]= \frac{8}{5}[/tex]
RESPUESTA:
[tex]\frac{8}{5}[/tex]
________________________________________________
[tex]b)[/tex] [tex]\frac{3}{25} *\frac{5}{18} : (\frac{12}{36} *\frac{4}{3})=[/tex]
Realizamos la operación dentro del paréntesis.
[tex]\frac{3}{25} *\frac{5}{18} : \frac{48}{108} =[/tex]
[tex]\frac{3}{25} *\frac{5}{18} *\frac{108}{48} = \frac{15}{450} *\frac{108}{48}[/tex][tex]= \frac{1620}{21600}[/tex]
[tex]\frac{1620}{21600} = \frac{3}{40}[/tex]
[tex]= \frac{3}{40}[/tex]
[tex]\frac{3}{40}[/tex]
_______________________________________________
[tex]c)[/tex] [tex]\frac{54}{6} *\frac{21}{63} * \frac{72}{12} : \frac{30}{1} =[/tex]
Simplicamos cada fracción:
[tex]\frac{9}{1} * \frac{1}{3} *\frac{6}{1} : \frac{30}{1} =[/tex]
[tex]\frac{9}{1} *\frac{1}{3} *\frac{6}{1} * \frac{1}{30} =[/tex]
[tex]= \frac{9*1*6*1}{1*3*1*30} =\frac{54}{90}[/tex]
[tex]\frac{54}{90} = \frac{18*3}{18*5} = \frac{3}{5}[/tex]
[tex]=\frac{3}{5}[/tex]
[tex]\frac{3}{5}[/tex]
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Respuesta:
Explicación paso a paso:
[tex]a)[/tex] [tex]3\frac{1}{4} -2\frac{1}{5} + \frac{11}{20} =[/tex]
Expresamos los números mixtos en fracciones:
[tex]\frac{13}{4} -\frac{11}{5} +\frac{11}{20} = \frac{5*13-4*11+1*11}{20}[/tex]
[tex]= \frac{65-44+11}{20}[/tex]
[tex]= \frac{32}{20}[/tex]
Simplificando:
[tex]\frac{32}{20} = \frac{4*8}{4*5} = \frac{8}{5}[/tex]
[tex]= \frac{8}{5}[/tex]
RESPUESTA:
[tex]\frac{8}{5}[/tex]
________________________________________________
[tex]b)[/tex] [tex]\frac{3}{25} *\frac{5}{18} : (\frac{12}{36} *\frac{4}{3})=[/tex]
Realizamos la operación dentro del paréntesis.
[tex]\frac{3}{25} *\frac{5}{18} : \frac{48}{108} =[/tex]
[tex]\frac{3}{25} *\frac{5}{18} *\frac{108}{48} = \frac{15}{450} *\frac{108}{48}[/tex][tex]= \frac{1620}{21600}[/tex]
Simplificando:
[tex]\frac{1620}{21600} = \frac{3}{40}[/tex]
[tex]= \frac{3}{40}[/tex]
RESPUESTA:
[tex]\frac{3}{40}[/tex]
_______________________________________________
[tex]c)[/tex] [tex]\frac{54}{6} *\frac{21}{63} * \frac{72}{12} : \frac{30}{1} =[/tex]
Simplicamos cada fracción:
[tex]\frac{9}{1} * \frac{1}{3} *\frac{6}{1} : \frac{30}{1} =[/tex]
[tex]\frac{9}{1} *\frac{1}{3} *\frac{6}{1} * \frac{1}{30} =[/tex]
[tex]= \frac{9*1*6*1}{1*3*1*30} =\frac{54}{90}[/tex]
Simplificando:
[tex]\frac{54}{90} = \frac{18*3}{18*5} = \frac{3}{5}[/tex]
[tex]=\frac{3}{5}[/tex]
RESPUESTA:
[tex]\frac{3}{5}[/tex]