Select those which can be written as a rational number with denominator $4$ in their lowest form: (7/8), (64/16), (36/-12), (-16/17), (5/-4), (140/28)

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Solution

Rational number with denominator 4 from the given set of numbers in their lowest form are listed below
$\frac{64}{16} = \frac{16}{4}$
$\frac{36}{(- 12)} = \frac{12}{(- 4)}$
$\frac{5}{(- 4)}$
$\frac{140}{28} = \frac{20}{4}$
Hence, $\frac{16}{4}, \frac{12}{(- 4)}, \frac{5}{(- 4)}, \frac{20}{4}$ can be written as a rational number with denominator 4 in their lowest form

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Similar questions

\frac{7}{8}, \frac{64}{16}, \frac{36}{- 12}, \frac{- 16}{17}, \frac{5}{- 4}, \frac{140}{28}

\frac{7}{8}, \frac{64}{16}, \frac{36}{- 12}, \frac{- 16}{17}, \frac{5}{- 4}, \frac{140}{28}

\frac{7}{8}, \frac{64}{16}, \frac{36}{- 12}, \frac{- 16}{17}, \frac{5}{- 4}, \frac{140}{28}

As 16/4=4=4/1 .A rational number which can be written with denominator 1 is an integer.

The decimal expansion 0.080080008000080000080000008....... is a

\frac{1}{22}, \frac{2}{3}, \frac{3}{4}, \frac{4}{- 5}, \frac{5}{6}, \frac{- 6}{7}, \frac{- 7}{8}

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