Question

Find a rational number between -1/3 and 1/8

Answer 1

Step-by-step explanation:

-1/3 and 1/8

-1/3×8/8 and 1/8×3/3

-8/24 and 3/24

Therefore, -7/24, -6/24, -5/24, -4/24, -4/24, -3/24........2/24 are rational number between -1/3 and 1/8

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Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\red{\underline \bold{To \: Find:}}$

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• A rational number between -1/3 & 1/8

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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$\footnotesize{ \underline{\bold{\texttt{Firstly we need a same denominator}}}}$

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Taking LCM = 24

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$\longmapsto \dfrac { -8 } { 24 } \& \dfrac { 3 } { 24 }$

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Now we can easily choose any rational number.

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But firstly let us understand what is rational number.

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$\purple\longrightarrow$It can be expressed in the form of p/q where $\rm q \neq 0$

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$\purple\longrightarrow$Its decimal expansion is terminating.

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$\purple\longrightarrow$Non terminating repeating decimal expansions are also of rational numbers.

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$\rm \dfrac { -6 } { 24 }$ is a rational number between $\rm \dfrac { -1 } { 3 }$ & $\rm \dfrac { 1 } { 8 }$

$\rule{200}5$