Question

Find any for stational
numbras between 1 by 4 and 1 by 5​

Answer 1

We know that a rational number between two numbers a and b is (a+b)/2

(i) 4/3 and 2/5

Let a=4/3 and b=2/5

a+b=4/3+2/5=(4×5+2×3)/15=(20+6)/15=26/15

rational number between a and b is (a+b)/2=26/15×1/2=13/15

(ii) −2/7 and 5/6

Let a=−2/7 and b=5/6

a+b=−2/7+5/6=(−2×6+5×7)/42=(−12+35)/42=23/42

rational number between a and b is (a+b)/2=23/42×1/2=23/84

(iii) 5/11 and 7/8

Let a=5/11andb=7/8

a+b=5/11+7/8=(5×8+7×11)/88=(40+77)/88=117/88

rational number between a and b is (a+b)/2=117/88×1/2=117/176

(iv) 7/4and 8/3

Let a=7/4 and b=8/3

a+b=7/4+8/3=(7×3+8×4)/12=(21+32)/12=53/12

rational number between a and b is (a+b)/2=53/12×1/2=53/24

Answer 2

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