Answer :

4/5 x 1 1/6 
= 4/5 x (6 x 1 + 1)/6 
= 4/5 x 7/6 
= (4 x 7)/(5 x 6) 
= 28/30 
= (28 ÷ 2)/(30 ÷ 2) 
= 14/15

Answer:

[tex]\frac{14}{15}[/tex].

Step-by-step explanation:

We have to multiply [tex]\frac{4}{5}[/tex] × [tex]1\frac{1}{6}[/tex]

First we convert mixed fraction to proper fraction

[tex]\frac{4}{5}[/tex] × [tex]\frac{7}{6}[/tex]

Now we multiply both numerators and both denominators

[tex]\frac{4}{5}[/tex] × [tex]\frac{7}{6}[/tex] = [tex]\frac{28}{30}[/tex] = [tex]\frac{14}{15}[/tex]

Answer would be [tex]\frac{14}{15}[/tex].

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