To amend U. S. Constitution, 3/4 of the 50 states must approve the amendment. If 35 states approve an amendment, will the Constitution be amended?

To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:

35/50 > = 3/4

that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:

35/50 > = 3/4

7/10 > = 3/4

now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:

7/10 > = 3/4

(2/2) (7/10) > = (5/5) (3/4)

2*7/2*10 > = 5*3/5*4

14/20 > = 15/20

we can see that the inequality does not hold, so,

35/50 > = 3/4

does not hold either, therefore the Constitution cannot be ammended

No it can not be amended. 3/4 of 50 equals 37.5. While yes, you can not count a half of a person, 35 doesn't even equal 37. So you're still stuck with the answer of no.