Identify a rational number between 13 and 45

The correct options are B 1730 C 710 1/3 and 4/5 #160; #160; To find rational number between to two number make the denominator #160 ...

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Rational Numbers

Identify a ra...

Question

Identify a rational number between $\frac{1}{3}$ and $\frac{4}{5}$

\frac{1}{4}

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\frac{9}{10}

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\frac{17}{30}

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\frac{7}{10}

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Solution

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Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

\frac{2}{3} \times \frac{4}{5} = \frac{4}{5} \times \frac{2}{3}

(\frac{- 3}{4}) \times 1 = \frac{- 3}{4} = 1 \times (\frac{- 3}{4})

(\frac{- 17}{28}) \times (\frac{- 28}{17}) = 1

\frac{1}{5} \times (\frac{7}{8} \times \frac{4}{3}) = (\frac{1}{5} \times \frac{7}{8}) \times \frac{4}{3}

\frac{2}{7} \times (\frac{9}{10} + \frac{2}{5}) = \frac{2}{7} \times \frac{9}{10} + \frac{2}{7} \times \frac{2}{5}

\frac{5}{7}

\frac{- 12}{9}

\frac{1}{5}

\frac{- 7}{- 10}

\frac{- 9}{10}

\frac{4}{5}

Choose the rational number which does not lie between $- \frac{2}{3}$ and $- \frac{1}{5}$

(a) $- \frac{3}{10}$

(b) $\frac{3}{10}$

(d) $- \frac{7}{20}$

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