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प्रश्न
Find a rational number exactly halfway between:
`5/(-13)` and `(-7)/9`
उत्तर
We know that, a rational number, which is halfway between two rational number i.e.a and b = `(a + b)/2`
Given rational numbers are `5/(-13)` and `(-7)/9`
Here, a = `-5/13` and b = `-7/9`
∴ `(a + b)/2 = ((-5)/13 + (-7/9))/2`
= `((-5)/13 - 7/9)/2`
= `((-5 xx 9)/(13 xx 9) - (7 xx 13)/(9 xx 13))/2`
= `((-45)/177 - 91/177)/2`
= `((-45 - 91)/177)/2`
= `(-136)/(117 xx 2)`
= `(-136)/234`
Hence, the exactly of halfway between `5/(-13)` and `(-7)/9` is `-136/234`.
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