Answer:
+1/-7 = negative irrational
+4/+5 = positive rational
-1/-7 = positive irrational
-4/+5 = negative rational
-1/+7 = negative irrational
+1/+7 = positive irrational
+4/-5 = negative rational
-4/-5 = positive rational
Explanation:
so when this problem there is only the fractions 1/7 and 4/5
we know that 1/7 is irrational and 4/5 is a rational this is because 1/7 if you put it in a calculator it has a lot of decimals numbers behind it . you can just memorize this though . 4/5 however is 0.2 which is a rational number . you can do this from long division or put it in a calculator to get 0.2.
now for the positive and negative part of this problem we know that
1) a negative and a negative make a positive
2) a positive and a negative make a negative
3) a positive and a positive make a positive
using these we know that when a fraction has a negative in the denominator you can also put that out front and it will be the fraction as negative . however if there are negatives in both the numerator and the denominator then the fraction is positive because the negatives cancel .
+1/-7 = negative irrational
+4/+5 = positive rational
-1/-7 = positive irrational
-4/+5 = negative rational
-1/+7 = negative irrational
+1/+7 = positive irrational
+4/-5 = negative rational
-4/-5 = positive rational