Verified 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:

\(\frac{14}{15}\).

Step-by-step explanation:

We have to multiply \(\frac{4}{5}\) × \(1\frac{1}{6}\)

First we convert mixed fraction to proper fraction

\(\frac{4}{5}\) × \(\frac{7}{6}\)

Now we multiply both numerators and both denominators

\(\frac{4}{5}\) × \(\frac{7}{6}\) = \(\frac{28}{30}\) = \(\frac{14}{15}\)

Answer would be \(\frac{14}{15}\).

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