find the four rational numbers between 3/4 and 5/6
Answers
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Let x = 3/4 ; y = 5/6
y > x ; n = 5
d = y - x/n + 1
= (5/6 - 3/4)/5 + 1
= (10 - 9/12)/6
= (1/12)/6
= 1/12 ÷ 6
= 1/12 × 1/6
= 1/72
1st rational number = x + d
= 3/4 + 1/72
= 54 + 1/72
= 55/72
2nd rational number = x + 2d
= 3/4 + 2 × 1/72
= 3/4 + 2/72
= 54 + 2/72
= 56/72
3rd rational number = x + 3d
= 3/4 + 3 × 1/72
= 3/4 + 3/72
= 54 + 3/72
= 57/72
4th rational number = x + 4d
= 3/4 + 4 × 1/72
= 3/4 + 4/72
= 54 + 4/72
= 58/72
5th rational number = x + 5d
= 3/4 + 5 × 1/72
= 3/4 + 5/72
= 54 + 5/72
Step-by-step explanation:
3/4 and 5/6
so first make the denominators equal
3/4 × 1/3 = 3/12
5/6 × 1/2 = 5/12
now multiple the fraction 3/12 and 5/12 with 5/5 because you need 4 numbers
3/12 × 5/5 = 15/60
5/12 × 5/5 = 25/60
Therefore the four rational numbers are :
16/60 , 17/60 , 18/60 , 19/60 , 20/60