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प्रश्न
Insert 3 equivalent rational numbers between `(-1)/2` and `1/5`
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उत्तर
We convert the rational numbers `(-1)/2` and `1/5` into rational numbers with same denominator.
`(-1)/2 = (-1 xx 5)/(2 xx 5) = (-5)/10` and `1/5 = (1 xx 2)/(5 xx 2) = 2/10`
The rational numbers between `(-5)/10` and `2/10` are
`(-4)/10, (-3)/10, (-2)/10, (-1)/10, 1/10`.
Consider, `(-2)/10`
Three equivalent rational numbers of `(-2)/10` are
`(-2 xx 2)/(10 xx 2) = (-4)/20, (-2 xx 3)/(10 xx 3) = (-6)/30` and `(-2 xx 4)/(10 xx 4) = (-8)/40`
∴ 3 equivalent rational numbers between
`(-1)/2 and 1/5` are `(-4)/20, (-6)/30 and (-8)/40`.
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