Answer:
a) The number is:
0.73652913
There are 8 digits after the decimal point, then we need to multiply and divide by: 100,000,000 (8 zeros at the right of the 1)
0.73652913 = 0.73652913*(100,000,000)/(100,000,000) = 73,652,913/100,000,000
So we wrote this as a fraction of two integers.
b) The number is:
0.746746...
Where the periodic part is 746.
the periodic part has 3 digits, then we can do:
0.746746...*1000 = 746.746746....
Now we can subtract the number itself to get:
746.746746... - 0.746746... = 746
And what we did is:
N*1000 - N = N*999
Then to transform the number into a quotient of integers, we can multiply and divide by 999.
0.746746... = 0.746746...*(999)/(999) = 746/999
That is a quotient of two integers, so 0.746746... is a rational number.
