Answer:
Here are 5 possible numbers:
167/200
21/25
169/200
17/20
171/200
Step-by-step explanation:
Let's first explore what a rational number is
A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.
Well, one way to answer this is to convert the fractions to decimals, then find the decimal numbers between the equivalent of the two fractions and convert back to fraction
5/6 = 0.83333.... = 0.833 rounded to 3 d.p
6/7= 0.857142... = 0.857 rounded to 3 d.p
Any decimal number x between 0.833 and 0.857 such that
0.833 < x < 0.857 is a valid rational number
So 0,835, 0, 84, 0,845, 0,85, 0.855 are valid rational numbers between 5/6 and 6/7. Actually there are an infinite number of rational numbers in any interval
Convert back to fractions:
0.835 = 835/1000 simplified to 167/200
(divide numerator and denominator by 5)
0.84 = 84 /100 = 21/25
(divide numerator and denominator by 4)
0.845 = 845/1000 = 169/200
(divide numerator and denominator by 5)
0.85 = 85/100 = 17/20
(divide numerator and denominator by 5)
0.855 = 855/1000 = 171/200
(divide numerator and denominator by 5)
