Answer:
[tex]\frac{18}{55}[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{9}{11} \times\frac{7}{10} -\frac{9}{11} \times\frac{3}{10}[/tex]
Multiply the fractions, by multiplying the numerators by the numerators, doing the same with the denominators.
[tex]\frac{9}{11} \times\frac{7}{10}[/tex]
[tex]9\times7=63[/tex]
[tex]11\times10=110[/tex]
[tex]=\frac{63}{110}[/tex]
[tex]\frac{63}{110} -\frac{9}{11} \times\frac{3}{10}[/tex]
[tex]\frac{9}{11} \times\frac{3}{10}[/tex]
[tex]9\times3=27[/tex]
[tex]11\times10=110[/tex]
[tex]=\frac{27}{110}[/tex]
[tex]\frac{63}{110} -\frac{27}{110}[/tex]
Now subtract:
[tex]\frac{63}{110} -\frac{27}{110}[/tex]
[tex]cd=110[/tex]
[tex]63-27=36[/tex]
[tex]=\frac{36}{110}[/tex]
Simplify:
[tex]\frac{36}{110}[/tex]
[tex]\frac{36}{110}\div2=\frac{18}{55}[/tex]
[tex]=\frac{18}{55}[/tex]
Hope this helps.
