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Find the number that replaces the ? to write (8)/(5) as a mixed number. Improper fraction: (8)/(5) Mixed number: 1(?)/(5)

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Find the number that replaces the ? to
write (8)/(5) as a mixed number.
Improper fraction: (8)/(5)
Mixed number: 1(?)/(5)

Find the number that replaces the ? to write (8)/(5) as a mixed number. Improper fraction: (8)/(5) Mixed number: 1(?)/(5)

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ZachariahMaster · Tutor for 5 years

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<br /><br />An improper fraction can be converted to a mixed number by dividing the numerator by the denominator.<br />In this particular fraction \(\frac{8}{5} \), can be simplified by a division.<br /><br />\[8\div5=1 \textup{ (quotient) with remainder }3 \textup{ (remainder)}\]<br /><br />This implies that the mixed number is \(1+\frac{most of the quotient}{5}\).<br /><br />So, in our case, the number to replace "?" in the mixed number \(1\frac{?}{5}\) comes from the <br />remainder of the earlier division (quotient).<br />Therefore, <br /><br />\[1\frac{3}{5}\]<br /><br />can represent the improper fraction \(\frac{8}{5} \) as a mixed number.<br /><br />▸ The number that replaces "?" in the mixed number expression should be "3". With this the mixed number that corresponds to the given improper fraction \( \frac{8}{5} \) would be \(1\frac{3}{5}\).
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