Question

write three rational numbers between -4/5 and -6/7​

Answer 1

Answer:

(i) {-4/5}+(-6/7)

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2

(-4×7/5×7) +(-6×5/7×5)

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2

(-28/35) + (-30/35)

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2

(-58/35)

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2

{-58/(35×2)}

= -58/70

= -29/35

(ii) (-29/35)+ (-4/5)

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2

(-29×5)/(35×5) + (-4×35)/(5×35)

______________________

2

(-145)/(175) + (-140)/(175)

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2

(-295)/(175)

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2

=(-295)/(175×2)

=(-295)/(350)

=(-45)/(70)

=(-9)/35

(iii) (-9/35)+(-6/7)

(-9×7)/(35×7) + (-6×35)/(7×35)

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2

(-63/245) + (-210/245)

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2

(-273/245)

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2

=(-273/245×2)

=(-273/490)

=(-39/70)

the 3 rational numbers between-4/5 and -6/7 are -29/35,-9/35,-39/70

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