The [tex]quotient \: of \: \frac{4}{5} \: divided \: by \: \frac{1}{10} \: is \: 8[/tex]
A quotient may be explained as the value obtained by dividing a certain value by another. Hence, the value obtained when two numbers are divided is called the quotient.
[tex] quotient \: = \frac{dividend}{divisor} [/tex]
[tex]divdend = \frac{4}{5} [/tex]
[tex]divisor \: = \frac{1}{10} [/tex]
To use the multiplication operator; take reciprocal of the divisor
[tex] \frac{4}{5} \div \frac{1}{10} = \frac{4}{5} \times \frac{10}{1} = \frac{40}{5} = 8[/tex]
Hence,
[tex]quotient \: of \: \frac{4}{5} \: divided \: by \: \frac{1}{10} \: is \: 8[/tex]
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