Antes de empezar, debemos saber que las divisiones de fracciones se multiplican en cruz, simplificando el resultado: [tex]\frac{a}{b} : \frac{c}{d} = \frac{a*d}{b*c}[/tex]
a) ¾ : 2/3 = [tex]\frac{3*3}{2*4} = \frac{9}{8}[/tex]
b) 4/7 : 5/4 = [tex]\frac{4*4}{7*5} = \frac{16}{35}[/tex]
c) 3/8 : 5/7 = [tex]\frac{3*7}{8*5} = \frac{21}{40}[/tex]
Respuesta:
Están en "Explicación paso a paso".
Explicación paso a paso:
Antes de empezar, debemos saber que las divisiones de fracciones se multiplican en cruz, simplificando el resultado: [tex]\frac{a}{b} : \frac{c}{d} = \frac{a*d}{b*c}[/tex]
a) ¾ : 2/3 = [tex]\frac{3*3}{2*4} = \frac{9}{8}[/tex]
b) 4/7 : 5/4 = [tex]\frac{4*4}{7*5} = \frac{16}{35}[/tex]
c) 3/8 : 5/7 = [tex]\frac{3*7}{8*5} = \frac{21}{40}[/tex]
d) 7/3 : 2/5 = [tex]\frac{7*5}{3*2} = \frac{35}{6}[/tex]
e) 5/4 : 3/8 = [tex]\frac{5*8}{4*3} = \frac{40}{12} =\frac{10}{3}[/tex]
f) 7/2 : 5/3 = [tex]\frac{7*3}{2*5} = \frac{21}{10}\\[/tex]
g) 8/3 : 4/5 = [tex]\frac{8*5}{3*4} = \frac{40}{12} = \frac{10}{3}[/tex]
h) 15/4 : 8/3 = [tex]\frac{15*3}{4*8} = \frac{45}{32}[/tex]
i) 13/2 : 4/7 = [tex]\frac{13*7}{2*4} = \frac{91}{8}[/tex]
j) 8/5 : 6/7 = [tex]\frac{8*7}{5*6} = \frac{56}{30} = \frac{28}{15}[/tex]
k) 12/7 : 7/3 = [tex]\frac{12*3}{7*7} = \frac{36}{49}[/tex]
l) 11/4 : 8/5 = [tex]\frac{11*5}{4*8} = \frac{55}{32}[/tex]
m) 13/8 : 9/5 = [tex]\frac{13*5}{8*9} = \frac{65}{72}[/tex]
n) 23/4 : 3/8 = [tex]\frac{23*8}{4*3} = \frac{23*2}{3}= \frac{46}{3}[/tex]
o) 15/4 : ¾ = [tex]\frac{15*4}{4*3} = \frac{15}{3} = 5[/tex]
p) 12/5 : 5/3 = [tex]\frac{12*3}{5*5} = \frac{36}{25}[/tex]
r) 13/4 : 11/5 = [tex]\frac{13*5}{4*11} = \frac{65}{44}[/tex]
s) 23/4 : 17/3 = [tex]\frac{23*3}{4*17} = \frac{69}{68}[/tex]
t) 32/5 : 17/2 = [tex]\frac{32*2}{5*17} = \frac{64}{85}[/tex]
u) 26/3 : 17/5 = [tex]\frac{26*5}{3*17} = \frac{130}{51}[/tex]
v) 16/7 : 17/3 = [tex]\frac{16*3}{7*17} = \frac{48}{119}[/tex]
w) 7/4 : 5/8 = [tex]\frac{7*8}{4*5} = \frac{7*2}{5} = \frac{14}{5}[/tex]
x) 11/4 : 7/2 = [tex]\frac{11*2}{4*7} = \frac{11}{2*7} =\frac{11}{14}[/tex]
y) 12/5 : 5/8 = [tex]\frac{12*8}{5*5} = \frac{96}{25}[/tex]
z) 13/4 : 8/3 = [tex]\frac{13*3}{4*8} = \frac{39}{32}[/tex]