[tex]\mathbb{ANSWER\!:}[/tex]
The quotient is 8.
[tex]\mathbb{STEP \! - BY \! - STEP \: EXPLANATION \! :}[/tex]
From the given mathematical expression, find the reciprocal of the divisor to multiply.
[tex]\displaystyle \frac{4}{5} \div \frac{1}{10} = \frac{4}{5} \times \frac{10}{1}[/tex]
Multiply the numerators and then the denominator.
[tex]\displaystyle \frac{4}{5} \times \frac{10}{1} = \boxed{\frac{4 \times 10}{5 \times 1} = \frac{40}{5}}[/tex]
Reduce the fraction if it is possible.
[tex]\displaystyle \frac{40}{5} = \boxed{\frac{40 \div 5}{5 \div 5} = \frac{8}{1} = 8}[/tex]
Hence, the answer is 8.
[tex]\mathbb{SOLUTION \! :}[/tex]
[tex]\begin{aligned}\displaystyle \frac{4}{5} \div \frac{1}{10} & = \frac{4}{5} \times \frac{10}{1} \\& = \displaystyle \frac{40}{5}\\& = 8\\\end{aligned}[/tex]
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