Question

Arrange in ascending order 5/-12, -2/3, 7/9, 11/-18

Answer 1

To arrange these fractions in ascending order, we can convert them to have a common denominator and then compare their numerators:

5/-12 = -5/12 (multiplying both numerator and denominator by -1)

-2/3 = -8/12 (multiplying both numerator and denominator by 4)

7/9 = 28/36 (multiplying both numerator and denominator by 4)

11/-18 = -11/18 (multiplying both numerator and denominator by -1)

Now, we have the fractions with a common denominator of 36, and we can compare their numerators:

-11/18 < -5/12 < -8/12 < 28/36

Therefore, the fractions in ascending order are:

11/-18, 5/-12, -2/3, 7/9