Answer: Hello there!
We have the equation 8/9 + 1/10 = 39/90 and we want to know if this is "reasonable"
Now let's compute the sum:
8/9 + 1/10 here both fractions have different denominators, then we need to find a common denominator, let's try 90.
8/9 = 8/9*(10/10) = 80/90
1/10 = 1/10(9/9) = 9/90
you can do these changes because multiplying by 10/10 or 9/9 is the same as multiplying by 1, then our sum is:
8/9 + 1/10 = 80/90 + 9/90 = 89/90
Then the initial equality is unreasonable, because of 89/90 ≠ 39/90
