Which of the following order is correct for rational numbers between $\frac{4}{11}$ and $\frac{9}{16} ?$

\frac{4}{11}

\frac{67}{176}

\frac{79}{176}

\frac{9}{16}

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\frac{4}{11}

\frac{67}{276}

\frac{79}{176}

\frac{9}{16}

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\frac{4}{11}, \frac{17}{38}, \frac{13}{27}, \frac{22}{43}, \frac{9}{16}

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\frac{4}{11}, \frac{27}{38}, \frac{13}{27}, \frac{22}{43}, \frac{9}{16}

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Solution

The correct option is B $\frac{4}{11}$ , $\frac{67}{176}$ , $\frac{79}{176}$ , $\frac{9}{16}$
$L . C . M$ of $11$ and $16$ is $11 \times 16 = 176$

$\frac{4}{11} = \frac{4 \times 16}{11 \times 16} = \frac{64}{176}$

$\frac{9}{16} = \frac{9 \times 11}{16 \times 11} = \frac{99}{176}$
rational numbers between $\frac{4}{11}$ and $\frac{9}{16}$ are
$\frac{67}{176}$ , $\frac{79}{176}$

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Similar questions

Insert three rational no.s between 4/11 and 9/16

\frac{11}{12} \times \frac{16}{4} \times \frac{9}{16}

\frac{11}{12} \times \frac{16}{4} \times \frac{9}{16}

Name the property of multiplication illustrated by each of the following statements :

(i) $\frac{- 15}{8} \times \frac{- 12}{7} = \frac{- 12}{7} \times \frac{- 15}{8}$

(ii) $(\frac{- 2}{3} \times \frac{7}{9}) \times \frac{- 9}{5} = \frac{- 2}{3} \times (\frac{7}{9} \times \frac{- 9}{5})$

(iii) $\frac{- 3}{4} \times (\frac{- 3}{4} \times \frac{- 5}{6}) + (\frac{- 3}{4} \times \frac{7}{8})$

(iv) $\frac{- 16}{9} \times 1 = 1 \times \frac{- 16}{9} = \frac{- 16}{9}$

(v) $\frac{- 11}{15} \times \frac{15}{- 11} = \frac{15}{- 11} \times \frac{- 11}{15} = 1$

(vi) $\frac{- 7}{5} \times 0 = 0$

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