c) [tex]\frac{\frac{1}{7}:\frac{3}{5}}{\:\frac{3}{7}\cdot \frac{5}{6}} = \frac{2}{3}[/tex]
[tex]\frac{\frac{1}{7}}{\frac{3}{5}}=\frac{1\cdot \:5}{7\cdot \:3} =\frac{5}{7\cdot \:3} =\frac{5}{21}[/tex]
[tex]\frac{3}{7}\cdot \frac{5}{6} =\frac{3}{7}\cdot \frac{5}{3\cdot \:2} =\frac{1}{7}\cdot \frac{5}{2} =\frac{1\cdot \:5}{7\cdot \:2} =\frac{5}{7\cdot \:2}=\frac{5}{14}[/tex]
[tex]\frac{\frac{5}{21}}{\frac{5}{14}} =\frac{5\cdot \:14}{21\cdot \:5} =\frac{14}{21} =\frac{7\cdot \:2}{21} =\frac{7\cdot \:2}{7\cdot \:3} =\frac{2}{3}[/tex]
d) [tex]\frac{\frac{7}{24}}{\frac{32}{12}}=\frac{7}{64}[/tex]
[tex]\frac{\frac{7}{24}}{\frac{32}{12}}=\frac{7\cdot \:12}{24\cdot \:32} =\frac{7\cdot \:12}{12\cdot \:2\cdot \:32} =\frac{7}{2\cdot \:32} =\frac{7}{64}[/tex]
e) [tex]\frac{\frac{35}{108}}{\frac{385}{324}}=\frac{3}{11}[/tex]
[tex]\frac{\frac{35}{108}}{\frac{385}{324}}=\frac{35\cdot \:324}{108\cdot \:385} =\frac{35\cdot \:3}{385}=\frac{35\cdot \:3}{35\cdot \:11}=\frac{3}{11}[/tex]
f) [tex]\frac{2\frac{19}{49}}{5\frac{4}{7}}=\frac{3}{7}[/tex]
[tex]\frac{2\frac{19}{49}}{5\frac{4}{7}} = \frac{\frac{117}{49}}{\frac{39}{7}}=\frac{117\cdot \:7}{49\cdot \:39} =\frac{3\cdot \:7}{49} =\frac{3\cdot \:7}{7\cdot \:7} =\frac{3}{7}[/tex]
Sper că te-am ajutat!
Succes!
#copăceibrainly
