1)
A)
[tex]\frac{5}{4} .\frac{3}{5} .\frac{5}{4} .\frac{3}{5} =\\\\\frac{1}{4} .3.\frac{1}{4} .3=\\\\\frac{1}{4} .\frac{3}{1} .\frac{1}{4} .\frac{3}{1} =\\\\\frac{1.3.1.3}{4.1.4.1} =\frac{9}{16}[/tex]
B)
[tex]\frac{2}{7} .\frac{2}{7} .\frac{5}{8} .\frac{2}{7} =\\\\\frac{1}{7} .\frac{2}{7} .\frac{5}{4} .\frac{2}{7} =\\\\\frac{1}{7}.\frac{1}{7} .\frac{5}{2} .\frac{2}{7} =\\\\\frac{1}{7} .\frac{1}{7} .5.\frac{1}{7} =\\\\\frac{1.1.5.1}{7.7.1.7} =\frac{5}{343}[/tex]
C)
[tex]\frac{1}{4} .\frac{1}{4} .\frac{5}{4} .\frac{1}{4} =\\\\\frac{1.1.5.1}{4.4.4.4} = \frac{5}{256}[/tex]
D)
[tex]\frac{2}{3} .\frac{2}{3} .\frac{2}{5} =\\\\\frac{2.2.2}{3.3.5} =\frac{8}{45}[/tex]
--------
2)
[tex]\frac{2}{7} .\frac{2}{7} .\frac{2}{7} = (\frac{2}{7} )^{3}[/tex]
[tex]\frac{2}{3} .\frac{2}{3} .\frac{2}{5} .\frac{2}{5} = (\frac{4}{15} )^{2}[/tex]
[tex]\frac{5}{7} .\frac{5}{7} .\frac{5}{7} .\frac{5}{7} .\frac{5}{7} = (\frac{5}{7})^{5}[/tex]
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
1)
A)
[tex]\frac{5}{4} .\frac{3}{5} .\frac{5}{4} .\frac{3}{5} =\\\\\frac{1}{4} .3.\frac{1}{4} .3=\\\\\frac{1}{4} .\frac{3}{1} .\frac{1}{4} .\frac{3}{1} =\\\\\frac{1.3.1.3}{4.1.4.1} =\frac{9}{16}[/tex]
B)
[tex]\frac{2}{7} .\frac{2}{7} .\frac{5}{8} .\frac{2}{7} =\\\\\frac{1}{7} .\frac{2}{7} .\frac{5}{4} .\frac{2}{7} =\\\\\frac{1}{7}.\frac{1}{7} .\frac{5}{2} .\frac{2}{7} =\\\\\frac{1}{7} .\frac{1}{7} .5.\frac{1}{7} =\\\\\frac{1.1.5.1}{7.7.1.7} =\frac{5}{343}[/tex]
C)
[tex]\frac{1}{4} .\frac{1}{4} .\frac{5}{4} .\frac{1}{4} =\\\\\frac{1.1.5.1}{4.4.4.4} = \frac{5}{256}[/tex]
D)
[tex]\frac{2}{3} .\frac{2}{3} .\frac{2}{5} =\\\\\frac{2.2.2}{3.3.5} =\frac{8}{45}[/tex]
--------
2)
A)
[tex]\frac{2}{7} .\frac{2}{7} .\frac{2}{7} = (\frac{2}{7} )^{3}[/tex]
B)
[tex]\frac{2}{3} .\frac{2}{3} .\frac{2}{5} .\frac{2}{5} = (\frac{4}{15} )^{2}[/tex]
C)
D)
[tex]\frac{5}{7} .\frac{5}{7} .\frac{5}{7} .\frac{5}{7} .\frac{5}{7} = (\frac{5}{7})^{5}[/tex]